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What else can I help you with?
What is the difference between Taylor series and Maclaurin series?
A Maclaurin series is centered about zero, while a Taylor series is centered about any point c. M(x) = [f(0)/0!] + [f'(0)/1!]x +[f''(0)/2!](x^2) + [f'''(0)/3!](x^3) + . . . for f(x). T(x) = [f(c)/0!] + [f'(c)/1!](x-c) +[f''(c)/2!]((x-c)^2) + [f'''(c)/3!]((x-c)^3) + . . . for f(x).
What is a critical point?
Critical point (in one variable): A point on the graph y = f(x) at which f is differentiable and f'(x) = 0. The term is also used for the number c such that f'(c) = 0. The corresponding value f(c) is a critical value. A critical point c can be classified depending upon the behavior of fin the neighborhood of c, as one of following:1. a local minimum, if f'(x) > 0 to the left of c and f'(x)< 0 to the right of c.2. a local maximum, if f'(x) < 0 to the left of c and f'(x)> 0 to the right of c.3. neither local maximum nor local minimum:a) if f'(x) has the same sign to the left and to the right of c, in which case c is a horizontal point of inflection.b) if there is an interval at every point of which f'(x) = 0 and c is an endpoint or interior point of this interval.(This is called the first derivative test).The second derivative test (is also a test for maximum and minimum values. It is a consequence of the concavity test):Suppose f is continuous near c.1. If f'(c) = 0 and f''(c) > 0, then f has a local minimum at c.2. If f'(c) = 0 and f''(c) < 0, then f has a local maximum at c.Example: f(x) = x^3 - 12x + 1(a) Find the intervals on which f is increasing or decreasing.(b) Find the local maximum and minimum values of f.(c) Find the intervals of concavity and the inflection points.Solution:(a) f(x) = x^3 - 12x + 1f'(x) = 3x^2 - 12f'(x) = 3(x +2)(x - 2)Interval: x < -2; -2 x < 2; x > 2x + 2: - ; +; +x - 2: - ; - ; +f'(x): + ; - ; +f: increasing on (-∞, -2); decreasing on (-2, 2); increasing on (2, ∞) So f is increasing on (-∞, -2) and (2, ∞) and f is decreasing on (-2, 2).(b) f changes from increasing to decreasing at x = -2 and from decreasing to increasing at x = 2. Thus f(-2) = 17 is a local maximum value and f(2) = -15 is a local minimum value.(c) f''(x) = 6xf''(x) > 0 ↔ x > 0 and f''(x) < 0 ↔ x < 0. Thus f is concave upward on (0, ∞) and concave downward on (-∞, 0). There is an inflection point where the concavity changes, at (0, f(0)) = (0, 1).
Which of his measurements is the most accurately A 213 degrees F B 211.1 degrees F C 212.89 degrees F D 211.8 degrees F?
C C is to 2 decimal places.
What is f(2) if f(x) (x 1)2?
it was C for anyone who comes across this question…
What is 350 degrees F in degree c?
350°F → (350 - 32) × 5/9 °C = 176 2/3 °C ≈ 176.67°C For cooking purposes, 350°F (Gas Mark 4) is converted at 175°C
What is the difference between Taylor series and Maclaurin series?
A Maclaurin series is centered about zero, while a Taylor series is centered about any point c. M(x) = [f(0)/0!] + [f'(0)/1!]x +[f''(0)/2!](x^2) + [f'''(0)/3!](x^3) + . . . for f(x). T(x) = [f(c)/0!] + [f'(c)/1!](x-c) +[f''(c)/2!]((x-c)^2) + [f'''(c)/3!]((x-c)^3) + . . . for f(x).
Is -2 degrees in Celsius or Fahrenheit?
Could be either. -2 C = 28.4 F -2 F = -18.89 C
What are the notes for moztart melody to play on the flute?
Bb Bb F F G G F (hold for 2 beats) Eb Eb D D C C Bb (hold for 2 beats) F F Eb Eb D D C (hold for 2 beats) F F Eb Eb D D C (hold for 2 beats) Bb Bb F F G G F (hold for 2 beats) Eb Eb D D C C Bb (hold for 2 beats)
The blues is based on a 12-bar chord progression Describe the progression?
In C its C C C C F F C C G F C C u can transpose 2 any key
What are the Notes for who can it be now alto sax?
Alto sax: Intro/Chorus: Bb f f# c#... f# f x 4 (2:04) C#, C#, C# C# e, e f# e e, e C# C# C#, C# Bb, Ab, F, Eb, F, Ab, Bb, C# C# e ab ab f# f.. f# f C# e f# ab, ab ab bb b bb b bb ab f# ab... f# e eb C# B Ab F# Ab Bb Ab, Bb, C#. C# e., C# C# C# e e C#, e, f# e f# e C# e ab c#.... Outro: f#, f, Bb
What is a critical point?
Critical point (in one variable): A point on the graph y = f(x) at which f is differentiable and f'(x) = 0. The term is also used for the number c such that f'(c) = 0. The corresponding value f(c) is a critical value. A critical point c can be classified depending upon the behavior of fin the neighborhood of c, as one of following:1. a local minimum, if f'(x) > 0 to the left of c and f'(x)< 0 to the right of c.2. a local maximum, if f'(x) < 0 to the left of c and f'(x)> 0 to the right of c.3. neither local maximum nor local minimum:a) if f'(x) has the same sign to the left and to the right of c, in which case c is a horizontal point of inflection.b) if there is an interval at every point of which f'(x) = 0 and c is an endpoint or interior point of this interval.(This is called the first derivative test).The second derivative test (is also a test for maximum and minimum values. It is a consequence of the concavity test):Suppose f is continuous near c.1. If f'(c) = 0 and f''(c) > 0, then f has a local minimum at c.2. If f'(c) = 0 and f''(c) < 0, then f has a local maximum at c.Example: f(x) = x^3 - 12x + 1(a) Find the intervals on which f is increasing or decreasing.(b) Find the local maximum and minimum values of f.(c) Find the intervals of concavity and the inflection points.Solution:(a) f(x) = x^3 - 12x + 1f'(x) = 3x^2 - 12f'(x) = 3(x +2)(x - 2)Interval: x < -2; -2 x < 2; x > 2x + 2: - ; +; +x - 2: - ; - ; +f'(x): + ; - ; +f: increasing on (-∞, -2); decreasing on (-2, 2); increasing on (2, ∞) So f is increasing on (-∞, -2) and (2, ∞) and f is decreasing on (-2, 2).(b) f changes from increasing to decreasing at x = -2 and from decreasing to increasing at x = 2. Thus f(-2) = 17 is a local maximum value and f(2) = -15 is a local minimum value.(c) f''(x) = 6xf''(x) > 0 ↔ x > 0 and f''(x) < 0 ↔ x < 0. Thus f is concave upward on (0, ∞) and concave downward on (-∞, 0). There is an inflection point where the concavity changes, at (0, f(0)) = (0, 1).
What are the musical notes to play empire state of mind on keyboard?
T| Capitals on the notes signify sharps (the black keys) A| B| Also see my Alicia Keys tab of the Empire State of Mind 2 for the chords! N| PEACE! A| ~Steph~ B| B| E| R5|F-F-F----- R| R4|F-F-F----- .| L3|F-F-F-F--- C| L3|----C----- O| L2|b-b---F--- M| -| R6|F-F-F---F---F---F-F-F--- T| R6|C-C-C---C---C---C-C-C--- A| R5|A-A-A---A---A---A-A-A--- B| N| L3|F-f----- A| L3|C-C----- B| L2|----b--- B| L2|----F--- E| L1|----b--- R| .| R6|F-F-F---F---F---F-F-F--- C| R6|C-C-C---C---C---C-C-C--- O| R5|A-A-A---A---A---A-A-A--- M| -| L3|F-F-F--- T| L3|--C----- A| L2|b---F--- B| N| R6|F-F-F---F---F---F-F-F--- A| R6|C-C-C---C---C---C-C-C--- B| R5|A-A-A---A---A---A-A-A--- B| E| L3|F-f----- R| L3|C-C----- .| L2|----b--- C| L2|----F--- O| L1|----b---
What are the piano chords to nicest thing by Kate Nash?
T| 3|-d-f-d-f-d-f-c-f-c-f-c-f----f----f----f-a-f-a-f-a------------------| A| 2|-------------------------A----A----A--------------------------------------| B| and then again with d and so on ...
Who is the current commissioner of the Philippine board of nursing?
As of my last update in October 2023, the current commissioner of the Professional Regulation Commission (PRC) in the Philippines, which oversees the Board of Nursing, is Dr. Liza C. R. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R. F. C. R
What are the piano notes for mad world?
Gary Jules version: (based off a tab by slippy) Acoustic Grand Piano. 5|---c--------------------|-----------------------| 4|G--g--g--G--f--g--D--d--|------f-----------f--G-| 4|------c--g-----f--c-----|------d-----------d----| 3|f-----G-----f-----G-----|A-----------A----------| 5|---c--------------------|------------------------|------------------------| 4|---g--g--G--f--g--G--A--|------f-----------f-----|------f--f--G--G--f--f--| 4|------c--g-----f--c--f--|------d-----------d-----|------c-----------c-----| 3|f-----G-----f-----G-----|A-----------A-----------|f-----G-----f-----G-----| 5|c--c-----c-------------|-----------------------| 4|------D--------G--D----|A--A-----A-----g-------| 4|------c-----------c----|-----------------------| 3|G-----------G----------|D-----g-----D-----A----| 3|-----------------------|------A-----------g----| 4|A--A--f--A-----G--g---f---|-----f--f--G--G--f--f--| 4|------d-----------f-------|-----c-----------c-----| 4|------------------d-------|-----------------------| 3|A-----------A-------------|f----G-----f-----G-----| 5|c--c-----c-------------|-----------------------| 4|------D--------G--D----|A--A-----A-----g-------| 4|------c-----------c----|-----------------------| 3|G-----------G----------|D-----g-----D-----A----| 3|-----------------------|------A-----------g----| 4|A--A--f--A-----G--g---f---|-----f--f--G--G--f--f--| 4|------d-----------f-------|-----c-----------c-----| 4|------------------d-------|-----------------------| 3|A-----------A-------------|f----G-----f-----G-----| 5|c--c-----c-------------|-----------------------| 4|------D--------G--D----|A--A-----A-----g-------| 4|------c-----------c----|-----------------------| 3|G-----------G----------|D-----g-----D-----A----| 3|-----------------------|------A-----------g----| 4|A--A--f--A-----G--g---f---|-----f--f--G--G--f--f--| 4|------d-----------f-------|-----c-----------c-----| 4|------------------d-------|-----------------------| 3|A-----------A-------------|f----G-----f-----G-----| 5|c--c-----c-------------|-----------------------|----------------------| 4|------D--------G--D----|A--A-----A-----g-------|A--A----A----G--g--f--| 4|------c-----------c----|-----------------------|f---------------------| 4|-----------------------|-----------------------|d---------------------| 3|G-----------G----------|D-----g-----D-----A----|A---------------------| 3|-----------------------|------A-----------g----|----------------------| 5|-----------------c---c---|d---------------d---d----------| 4|G----f--f--G--G--G---G---|f---A---f---A---f---f---A---A--| 4|f----c-----f--f--f---f---|----f---d---f-----------f---f--| 4|-----------------c-------|------------------------f------| 4|-------------------------|------------------------d------| 3|f----G-----f-----G-------|A---------------A--------------| 5|------------------c---c---|d--------------d---d----------| 4|G-----f--f--G--G--G---G---|f---A---A---A--f---f---A---A--| 4|f-----c-----f--f--f---f---|----f---f---f----------f---f--| 4|------------------c-------|--------f--------------f------| 4|--------------------------|--------d--------------d------| 3|f-----G-----f-----G-------|A--------------A--------------| 5|------------------c---c---|d---------------d---d----------| 4|G-----f--f--G--G--G---G---|f---A---f---A---f---f---A---A--| 4|f-----c-----f--f--f---f---|----f---d---f-----------f---f--| 4|------------------c-------|------------------------f------| 4|--------------------------|------------------------d------| 3|f-----G-----f-----G-------|A---------------A--------------| 5|------------------c---c---|d---------------d---d-----------| 4|G-----f--f--G--G--G---G---|f---A---A---A---f---f---A---A---| 4|f-----c-----f--f--f---f---|f---f---f---f-----------f---f---| 4|------------------c-------|d-------------------------------| 3|f-----G-----f-----G-------|A-------------------------------| 5|---c-----------------------|---------------------| 4|G--g--g--G---G---g---D--d--|f----f---------f--G--| 4|------c--g---f---f---c-----|-----d---------d-----| 3|f-----G------f-------G-----|A---------A----------| 5|---c-------------------------|--------------------| 4|---g--g--G---G---g---G---A---|-----f---------f----| 4|------c--g---f---f---c---f---|-----d---------d----| 3|f-----G------f-------G-------|A---------A---------| 5|-----------------------|c--c-----c--------------|-----------------------| 4|-----f--f--G--G--f--f--|------D--------G--D-----|A--A-----A-----g-------| 4|-----c-----------------|------c-----------c-----|-----------------------| 3|f----G-----f-----------|G-----------G-----------|D-----A-----D-----A----| 3|-----------------------|------------c-----------|------g-----------g----| 2|f----------------f-----|G-----------------------|-----------------------| 4|A--A--f--A-----G--g---f---|-----f--f--G--G--f--f--| 4|------d-----------f-------|-----c-----------------| 4|------------------d-------|-----------------------| 3|A-----------A-------------|f----G-----f-----------| 3|d-------------------------|-----------------------| 2|--------------------------|f----------------f-----| 5|c--c-----c--------------|-----------------------| 4|------D--------G--D-----|A--A-----A-----g-------| 4|------c-----------c-----|-----------------------| 3|G-----------G-----------|D-----A-----D-----A----| 3|------------c-----------|------g-----------g----| 2|G-----------------------|-----------------------| 4|A--A--f--A-----G--g---f---|-----f--f--G--G--f--f--| 4|------d-----------f-------|-----c-----------------| 4|------------------d-------|-----------------------| 3|d-------------------------|-----------------------| 2|--------------------------|f----------------g-----| 5|c--c-----c--------------|-----------------------| 4|------D--------G--D-----|A--A-----A-----g-------| 4|------c-----------c-----|-----------------------| 3|G-----------G-----------|D-----A-----D-----A----| 3|------------c-----------|------g-----------g----| 2|G-----------------------|-----------------------| 4|A--A--f--A-----G--g---f---|-----f--f--G--G--f--f--| 4|------d-----------f-------|-----c-----------------| 4|------------------d-------|-----------------------| 3|A-----------A-------------|f----G-----f-----------| 3|d-------------------------|-----------------------| 2|--------------------------|f----------------f-----| 5|c--c-----c--------------|-----------------------|----------------------| 4|------D--------G--D-----|A--A-----A-----g-------|A--A----A----G--g--f--| 4|------c-----------c-----|-----------------------|f---------------------| 4|------------------------|-----------------------|d---------------------| 3|G-----------G-----------|D-----A-----D-----A----|A---------------------| 3|------------c-----------|------g-----------g----|----------------------| 2|G-----------------------|-----------------------|----------------------| 5|-----------------c---c---|d------------d---d----------| 4|G----f--f--G--G--G---G---|f---A--f--A--f---f---A---A--| 4|f----c-----f--f--f---f---|----f--d--f----------f---f--| 4|-----------------c-------|---------------------f------| 4|-------------------------|---------------------d------| 3|f----G-----f-----G-------|A------------A--------------| 2|f------------------------|A---------------------------| 5|-----------------c---c---|d-------------d---d----------| 4|G----f--f--G--G--G---G---|f---A--A---A--f---f---A---A--| 4|f----c-----f--f--f---f---|----f--f---f----------f---f--| 4|-----------------c-------|-------f--------------f------| 4|-------------------------|-------d--------------d------| 3|f----G-----f-----G-------|A-------------A--------------| 2|f------------------------|A----------------------------| 5|-----------------c---c---|d------------d---d----------| 4|G----f--f--G--G--G---G---|f---A--f--A--f---f---A---A--| 4|f----c-----f--f--f---f---|----f--d--f----------f---f--| 4|-----------------c-------|---------------------f------| 4|-------------------------|---------------------d------| 3|f----G-----f-----G-------|A------------A--------------| 2|f------------------------|A---------------------------| 5|-----------------c---c---|d---------------d---d-----------| 4|G----f--f--G--G--G---G---|f---A---A---A---f---f---A---A---| 4|f----c-----f--f--f---f---|f---f---f---f-----------f---f---| 4|-----------------c-------|d-------------------------------| 3|f----G-----f-----G-------|A-------------------------------| 2|f------------------------|--------------------------------| 5|---c-----------------------|---------------------| 4|G--g--g--G---G---g---D--d--|f----f---------f--G--| 4|------c--g---f---f---c-----|-----d---------d-----| 3|f-----G------f-------G-----|A---------A----------| 5|---c-------------------------|--------------------| 4|---g--g--G---G---g---G---A---|-----f---------f----| 4|------c--g---f---f---c---f---|-----d---------d----| 3|f-----G------f-------G-------|A---------A---------| 5|---c-----------------------|--------------------| 4|G--g--g--G---G---g---D--d--|f----f---------f----| 4|------c--g---f---f---c-----|-----d---------d----| 3|f-----G------f-------G-----|A---------A---------| 4|G--G--g---g---f---f---D---d--|----------------- 4|------c---------------c------|----------------- 3|f-----G-------f-------G------|A---------------- 3|-----------------------------|f---------------- 2|-----------------------------|A---------------- < I found this very helpful and many thank you both slippy and Katie for all their hardwork!> Sungod357 Gary jules: Mad world Beginning: G# up to C down to G up to G# down to F up to G down to D# down to D down to A# up to D down to A# up to D (2 times) G# up to C down to G up to G# down to F up to G up to G# up to A# down to A# up to D down to A# up to D --------------------------------------------------------- a more advanced version with chords and stuff: On the left hand play the "G# up to C down to G up to G# down to F up to G down to D# down to D" bit except instead of "down to A# up to D down to A# up to D", Do A# then D and F at the same time. Meanwhile, your right hand plays this chord F and then G# and C Okay mad. Try this now. F F G# G# F F C C C G# A# A# A# G A# A# A# G# G F repeat it a few times
Can anyone give you the flute chords of moon river?
The Sequence is as follows: G D2 C2 / B A G F G / C B A G F G / C D / E C G E / D C G E / D C E G C2 B / A B A G A / C ... G D2 C2 / B A G F G / C B A G F G / C D / E C E G C2 D2 C2 G / B A G F G / C B A G F C / C E D E C / (Repeat 2x Then End). or The Sequence for the Higher Sound Ver. Of Moon River A E2 D2 / C#2 B A G A / D C#2 B A G A / D E / F# D A F# / E D A F# / E D F# A D2 C#2/ B C#2 B A B / D ... A E2 D2/ C#2 B A G A / D C#2 B A G A / D E / F# D F# A D2 E2 D2 A / C#2 B A G A / D C#2 B A G D / D F# E F# D / (Repeat 2x Then End).
. Find a real root of the equation x3-4x-9 equals 0 using the bisection method.?
Calculate the midpoint � = � � 2 c= 2 a+b . Evaluate � ( � ) f(c). Determine the sign of � ( � ) f(c). If � ( � ) = 0 f(c)=0, you've found the root. If � ( � ) f(c) has the same sign as � ( � ) f(a), set � = � a=c. If � ( � ) f(c) has the same sign as � ( � ) f(b), set � = � b=c
