Suppose f"(x) = 0, what can you say about f(x)? Write it in general form.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Problem 05:
(a) Suppose f"(x) = 0, what can you say about f (x)? Write it in general form.
(b) Find the area of the shaded region
y=5-x^2
y=1
(c) Find an approximation of the area y = 16 – x² over the interval [0,4] using L6 (left end point
approximation to find xi with six rectangles of equal width). Between left, right and mid-point
approximation, which one will give comparatively accurate results if we keep the number of
rectangles fixed. Explain why?
Transcribed Image Text:Problem 05: (a) Suppose f"(x) = 0, what can you say about f (x)? Write it in general form. (b) Find the area of the shaded region y=5-x^2 y=1 (c) Find an approximation of the area y = 16 – x² over the interval [0,4] using L6 (left end point approximation to find xi with six rectangles of equal width). Between left, right and mid-point approximation, which one will give comparatively accurate results if we keep the number of rectangles fixed. Explain why?
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