Let f be a twice-differentiable function with domain R.We know thatX01233We also have the following table:f(x) dxCompute= 1.f(x)4123f'(x)3-43-1f"(x)1234f" (a) a² da. Hint: use integration by parts twice.Enter your answer in decimal form. Round to two decimal places if needed (e.g. enter 0.1 as 0.1, enter 0.2345 as 0.23 or 0.24).

I = ∫13 f''(x) x2dx I =[(x2)∫f''(x)dx]13 - ∫13{ ddx(x2)∫f''(x)dx}dxI =[(x2)f'(x)]13 - ∫132x…

Let f be a twice-differentiable function with domain R. 3 [²³ f We also have the following table: We know that X 0 1 2 3 f(x) dx = 1. Compute f(x) 4 1 2 3 f'(x) 3 -4 3 -1 f"(x) 1 2 3 4 S f"(x) x² dx. Hint: use integration by parts twice.

Let f be a twice-differentiable function with domain R. 3 [²³ f We also have the following table: We know that X 0 1 2 3 f(x) dx = 1. Compute f(x) 4 1 2 3 f'(x) 3 -4 3 -1 f"(x) 1 2 3 4 S f"(x) x² dx. Hint: use integration by parts twice.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

Let f be a twice-differentiable function with domain R.
We know that
X
0
1
2
3
3
We also have the following table:
f(x) dx
Compute
= 1.
f(x)
4
1
2
3
f'(x)
3
-4
3
-1
f"(x)
1
2
3
4
f" (a) a² da. Hint: use integration by parts twice.
Enter your answer in decimal form. Round to two decimal places if needed (e.g. enter 0.1 as 0.1, enter 0.2345 as 0.23 or 0.24).

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