1. Let f(x) = 22" – x10. 10-10, and use it to compute the Find the critical point of f using e = maximum value of f(x) over the interval [0, 1]. 2. Find the smallest interval value M satisfying |f"(x)| < M for all r in the interval (0, 1]. 3. Find the number of rectangles n so that the integral of f(r) over the interval [0, 1] can be approximated by the Midpoint Rule with an error no greater than 10-10 4. Using the Midpoint Rule with n rectangles, where n is the value obtained in Problem 3, find the approximate area under the curve y = f(x) over the interval [0, 1]. %3D

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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can anyone solve questions 1,2, and 3 please

1. Let
f(x) = 22" – x10.
10-10, and use it to compute the
Find the critical point of f using e =
maximum value of f(x) over the interval (0, 1).
2. Find thp smallest interval value M satisfying |f"(x)| < M for all r in the
interval [0, 1].
3. Find the number of rectangles n so that the integral of f(x) over the
interval [0, 1] can be approximated by the Midpoint Rule with an error no
greater than 10-10.
4. Using the Midpoint Rule with n rectangles, where n is the value obtained
in Problem 3, find the approximate area under the curve y = f(r) over the
interval [0, 1].
5. Find the coefficients of the parabola y = ax2 +bx +c that passes through
the points (1, 10), (2, 20), (3, -5).
%3D
Transcribed Image Text:1. Let f(x) = 22" – x10. 10-10, and use it to compute the Find the critical point of f using e = maximum value of f(x) over the interval (0, 1). 2. Find thp smallest interval value M satisfying |f"(x)| < M for all r in the interval [0, 1]. 3. Find the number of rectangles n so that the integral of f(x) over the interval [0, 1] can be approximated by the Midpoint Rule with an error no greater than 10-10. 4. Using the Midpoint Rule with n rectangles, where n is the value obtained in Problem 3, find the approximate area under the curve y = f(r) over the interval [0, 1]. 5. Find the coefficients of the parabola y = ax2 +bx +c that passes through the points (1, 10), (2, 20), (3, -5). %3D
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