10. Let /=x'dx. (a) Use the FTC to evaluate I exactly. (b) Compute the actual approximation errors -L and 1- R41. Are these errors consistent with the error bound formulas in Theorem 3? Justify you answer. (c) Compute the actual approximation errors commi T4 and M4. Are these errors consistent with the er bound formulas in Theorem 3? Justify your answer. (d) Use the error bounds in Theorem 3 to find a value that guarantees that |I – Mn<0.005 (i.e., that y ourocy)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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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(b) Compute the actual approximation errors -L
and I-R4l. Are these errors consistent with the
(d) Use the error bounds in Theorem 3 to find a value of
bound formulas in Theorem 3? Justify your answer.
T4 and M4. Are these errors consistent with the eror
error bound formulas in Theorem 3? Justify you
'dx.
10. Let I =
(a) Use the FTC to evaluate I exactly.
answer.
committed by
errors
(c) Compute the actual approximation
that guarantees that |I – Mp|<0.005 (i.e., that M
two-decimal-place accuracy).
1 Exercises 11–14, find a value of n for which Theorem 3 guar
res that Ln approximates the value of the integral within ±0.00
ustify your answers.
12.
sin(x²) dx
dx
10
14. sin(1/x) dx
+0,005.
Transcribed Image Text:(b) Compute the actual approximation errors -L and I-R4l. Are these errors consistent with the (d) Use the error bounds in Theorem 3 to find a value of bound formulas in Theorem 3? Justify your answer. T4 and M4. Are these errors consistent with the eror error bound formulas in Theorem 3? Justify you 'dx. 10. Let I = (a) Use the FTC to evaluate I exactly. answer. committed by errors (c) Compute the actual approximation that guarantees that |I – Mp|<0.005 (i.e., that M two-decimal-place accuracy). 1 Exercises 11–14, find a value of n for which Theorem 3 guar res that Ln approximates the value of the integral within ±0.00 ustify your answers. 12. sin(x²) dx dx 10 14. sin(1/x) dx +0,005.
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