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Why in rolles theorem closed interval is used for contuinity and open interval is used for differentiability?
It requires that f(a)=f(b) where a and b are beginning and ending points. Also, it says there is a c between a and such that f'(c)=0. If f were not differentiable on the open interval, the statement f'(c)=0 would be invalid.
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).
How many points does line f contain?
A line in Euclidean geometry contains an infinite number of points. This is because a line extends indefinitely in both directions, and there are no gaps between the points along the line. Therefore, regardless of how you look at it, the number of points on line ( f ) is infinite.
How do you convert the temperature between Celsius and Fahrenheit?
C = ( F - 32 ) x 5/9orF = C x 9/5 +32Where F is degrees Fahrenheit and C degrees Celsius
Solve ex-3x2 equals 0 by bisection method?
I'm assuming you're trying to write f(x)=exp(x)-3x2=0 as your function. This has 3 solutions where f(x)=0 between (-0.5,-0.4), (0.85, 0.95) and (3.7, 3.8) I won't find all of the roots, only the one between 3.7 and 3.8 in order to show you the procedure/algorithm.What we do is choose two points x=a, b on the function where it takes on opposite values. We then find the mid point (a+b)/2 between these values and find the value of the functions at f((a+b)/2) we then choose the smallest interval where the points take on opposite values and repeat until we have a small enough value for x.We will do our iteration until we get within 0.01 of the solution (i.e. the first number to give an answer between -0.01 and 0.01) and i will be using c instead of writing out (a+b)/2 all the time.iteration 1: a=3.7 b=3.8 c=3.75 f(c)=0.3335 +veiteration 2: a=3.7 b=3.75 c=3.725 f(c)=-0.155 -veiteration 3: a=3.725 b=3.75 c=3.7375 f(c)=0.086 +veiteration 4: a=3.725 b=3.7375 c=3.73125 f(c)=-0.035 -veiteration 5: a=3.73125 b=3.7375 c=3.734375 f(c)=0.025 +veiteration 6: a=3.73125 b=3.734375 c=3.732813 f(c)=-0.005 between -0.01 and 0.01ONE solution for f(x)=exp(x)-3x2=0 is x=3.732813 (actual value is x=3.733079029 so we have an absolute error of 0.000266029, a relative error of 0.00007126262207 and a percentage error of 0.007126262207%)
What is the distance between points c and f in complete sentences?
No general rule can be stated, since many complete sentences lack either a 'c' or an 'f' or both.
What are the freezing and boiling points in Fahrenheit and Celsius?
For water, the freezing points are Zero C and 32 F. The boiling points are 100 C and 212 F.
What are the melting and boiling points of cobalt?
Cobalt (Co) Melting points: 1768 K, 1495 °C, 2723 °F Boiling points: 3200 K, 2927 °C, 5301 °F
Why in rolles theorem closed interval is used for contuinity and open interval is used for differentiability?
It requires that f(a)=f(b) where a and b are beginning and ending points. Also, it says there is a c between a and such that f'(c)=0. If f were not differentiable on the open interval, the statement f'(c)=0 would be invalid.
What does the tone of the note mean?
notice how there are no black noted between e and f or between b and c, but all the other notes on a keyboard have a black note between them? The distance from E to F or from B to C is calles a semitone. Alle the other white notes have a black note between them and this distance is called a tone! glad i could help
What is the difference between the wavelength and frequency of a wave?
We got the formula: speed of medium c = frequency f times wavelength lambda.lambda = c / f has a length unit.Frequency f is 1/time = c / lambda.That shows the difference between the wavelength lambda and the frequency f.
What is leads melting and boiling point?
Lead (Pb) Melting points: 600.61 K, 327.46 °C, 621.43 °F Boiling points: 2022 K, 1749 °C, 3180 °F
What is melting and boiling point of lead?
Melting Points: 327.5 °C (600.65 K, 621.5 °F) Boiling Points: 1740.0 °C (2013.15 K, 3164.0 °F)
What property of the wave is shown at F?
The property of the wave shown at point F is wavelength. Wavelength measures the distance between identical points on a wave, such as two consecutive crests or troughs.
What is the melting and boiling points for sodium?
Sodium Oxide (SOX) Melting point: 1132 °C, 2070 °F Boiling point: 1950 °C, 3542 °F
What is beryllium melting point and boiling point?
Beryllium (Be) Melting points: 1560 K, 1287 °C, 2349 °F Boiling points: 2742 K, 2469 °C, 4476 °F
What is the melting point and boiling point in niobium?
Melting points: 2750 K, 2477 °C, 4491 °F Boiling points: 5017 K, 4744 °C, 8571 °F
