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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).
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%)
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
A quantity that depends on force distance and time is called?
That's power.P = FS (theta)/T; where F is force, S is distance, T is time, and theta is the angle between F and S.
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?
Water freezes at 32°F (0°C) and boils at 212°F (100°C).
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 is the difference between the wavelength and frequency of a wave?
Wavelength is the distance between two consecutive points on a wave that are in phase (e.g., peak to peak), while frequency is the number of wave cycles passing a fixed point in one second. In other words, wavelength is a spatial measurement, while frequency is a temporal measurement.
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 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's melting point is 97.8°C (208°F) and its boiling point is 883°C (1621°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 of Americium in Fahrenheit?
Americium (Am) Melting points: 1449 K, 1176 °C, 2149 °F Boiling points: 2880 K, 2607 °C, 4725 °F
