A. Suppose that f(x) is a function that is positive and decreasing. Recall that by the integral test: f(a)d Σ ί). n=p Suppose that for each positive integer k, f(k) = . Find an upper bound B for Recall that e = | f(2)dx. B. A function is given by ake-dx. h(k) In(2) to express . Its values may be found in tables. Make the change of variables y = x x°2-" dx as a constant C times h(3). Find C. C. Let g(x) = x³2¯". Find the smallest number M such that the function g is decreasing for all x > M. C. M = 8∞ D. Does n°2¬" converge or diverge? n=1 Answer with one letter, C or D.

A. Suppose that f(x) is a function that is positive and decreasing. Recall that by the integral test: f(a)d Σ ί). n=p Suppose that for each positive integer k, f(k) = . Find an upper bound B for Recall that e = | f(2)dx. B. A function is given by ake-dx. h(k) In(2) to express . Its values may be found in tables. Make the change of variables y = x x°2-" dx as a constant C times h(3). Find C. C. Let g(x) = x³2¯". Find the smallest number M such that the function g is decreasing for all x > M. C. M = 8∞ D. Does n°2¬" converge or diverge? n=1 Answer with one letter, C or D.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 30EQ

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