1: Given that f(4) = 6 and f'(x) = 2/x2+9 for all x. a) Use a...

1:

Given that f(4) = 6 and f'(x) = 2/x²+9 for all x.

a) Use a linear approximation or differentials to estimate f(4.04)

b) Is your estimate in part (a) too large or too small? Explain.

a) Given f(x) = (x + 3)^sinx, find f'(π) using logarithmic differentiation.

b) Find the value of h'(0) if h(x)+xsin(h(x))= x²+4x-π/2

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

Please find f(x') and f(x") for all: 1) f(x) = 3(x2 -2x)3/4(7 - 5x2)6 2) f(x)...

Please find f(x') and f(x") for all: 1) f(x) = 3(x2 -2x)3/4(7 - 5x2)6 2) f(x) = (y - x)4(y2 - x)3 3) f(x) = x7/3 + 16x3 + x 4) = f(x) = (x2 - x) / (y2 - y)

Find (f −1)'(a). f(x) = 6 + x2 + tan(πx/2), −1 < x < 1, a = 6

given the sequences x1 = [2, 6, -4, 1] x2 = [8, 0, 2, 0, -9,...

given the sequences x1 = [2, 6, -4, 1] x2 = [8, 0, 2, 0, -9, 0, 1, 0] x3 = [2, 0, -8, -8, 2] x4 = [0, 1, 5i, 0, 6i, 0] x5 = [9, 3, 7] plot the 1. DFT magnitude of the computed sequences in MATLAB 2. phase responses in degrees and radians against frequency and number of samples 3. comment on the plots

6) Given: (a) f (x) = (2x^2)/(x^2 −1) - Calculate f ′(x) and f ″(x) -...

6) Given: (a) f (x) = (2x^2)/(x^2 −1) - Calculate f ′(x) and f ″(x) - Determine any symmetry - Find the x- and y-intercepts - Use lim f (x) x→−∞ and lim f (x) x→+∞ to determine the end behavior - Locate any vertical asymptotes - Locate any horizontal asymptotes - Find all intervals where f (x) is increasing and decreasing - Find the open intervals where f (x) is concave up or concave down

Given f''(x)= 4x-6 and f'(-2)=5 and f(-2)=1 FIND: Find f'(x)= and find f(2)=

Given f(x) = 1 x 2 − 1 , f 0 (x) = −2x (x 2...

Given f(x) = 1 x 2 − 1 , f 0 (x) = −2x (x 2 − 1)2 and f 00(x) = 2(3x 2 + 1) (x 2 − 1)3 . (a) [2 marks] Find the x-intercept and the y-intercept of f, if any. (b) [3 marks] Find the horizontal and vertical asymptotes for the graph of y = f(x). (c) [4 marks] Determine the intervals where f is increasing, decreasing, and find the point(s) of relative extrema, if any....

Given the following coordinates: (f, 9), (z, 2), (t, 4), (x, 8), (b, 1), (m, 7)....

Given the following coordinates: (f, 9), (z, 2), (t, 4), (x, 8), (b, 1), (m, 7). Sort the coordinates in Python (in ascending order) by comparing the first part of the coordinates. You may use the sort() function in Python.

draw, for values of x between -2 and +2, f(x) = x2, f(x) = 2x2 and...

draw, for values of x between -2 and +2, f(x) = x2, f(x) = 2x2 and f(x) = 3x2

Suppose f(x,y)=(1/8)(6-x-y) for 0<x<2 and 2<y<4. If all else is the same, then why can’t x...

Suppose f(x,y)=(1/8)(6-x-y) for 0<x<2 and 2<y<4. If all else is the same, then why can’t x be defined on the range [0,3]? Find p(0.5 < X < 1, 2 < Y < 3) Find fX(x) and fY(y) Are X and Y independent? Why or why not? Find p(0.5 < X < 1) and p(2 < Y < 3) Find p(Y<3|X=1) Find p(Y<3|0.5<X<1)

Find f(x) if f is a linear function that has given properties. f(-1)=1, f(3)=9 f(x)=

Subjects