g"(x) sin(x- 1) Z-1 kx - 8x + 6, -4 13 h(x) = -1 10 x> 3 8. 3. -1 (E) Find all x value(s) on the open interval (-2,5) where f(x) has a point of inflection. Give a reason for your answer. (F) Find the average rate of change of h(x), In terms of k, over the interval [2,5]. (G) If f(3) = 5, write an equation of the tangent line to f(x) at x = 3. (H) Use a right Riemann sum with the four subintervals indicated in the table to approximate g"(x)dx.
g"(x) sin(x- 1) Z-1 kx - 8x + 6, -4 13 h(x) = -1 10 x> 3 8. 3. -1 (E) Find all x value(s) on the open interval (-2,5) where f(x) has a point of inflection. Give a reason for your answer. (F) Find the average rate of change of h(x), In terms of k, over the interval [2,5]. (G) If f(3) = 5, write an equation of the tangent line to f(x) at x = 3. (H) Use a right Riemann sum with the four subintervals indicated in the table to approximate g"(x)dx.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Solve h
![x g"(x)
sin(x- 1)
-4
13
x-1
h(x) ={ kr -8x + 6,
-1
10
५e- -x+5,
x> 3
8.
-1
(E) Find all x value(s) on the open interval (-2,5) where f(x) has a point of inflection. Give a reason
for your answer.
(F) Find the average rate of change of h(x), in terms of k, over the interval [2,5].
(G) If f(3) = 5, write an equation of the tangent line to f(x) atx = 3.
(H) Use a right Riemann sum with the four subintervals indicated in the table to approximate g"(x)dx.
Is this approximation an over or under estimate? Give a reason for your answer.
(1) Evaluate
f'(x)dx.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa68ebe47-7a1d-41af-a030-3171bb2fb269%2Fb4dc0ba2-be56-433f-a263-865256ad0325%2Faxnl17b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:x g"(x)
sin(x- 1)
-4
13
x-1
h(x) ={ kr -8x + 6,
-1
10
५e- -x+5,
x> 3
8.
-1
(E) Find all x value(s) on the open interval (-2,5) where f(x) has a point of inflection. Give a reason
for your answer.
(F) Find the average rate of change of h(x), in terms of k, over the interval [2,5].
(G) If f(3) = 5, write an equation of the tangent line to f(x) atx = 3.
(H) Use a right Riemann sum with the four subintervals indicated in the table to approximate g"(x)dx.
Is this approximation an over or under estimate? Give a reason for your answer.
(1) Evaluate
f'(x)dx.
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