Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 7 - 6x, (0, 1) , and f(1) = 0 The equation e* = 7 - 6x is equivalent to the equation f(x) = ex - 7+ 6x = 0. f(x) is continuous on the interval [0, 1], f(0) = -6 ✓, there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 76x, in the interval (0, 1). X f(0) ✓✓ <0 < 1(1) Since
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 7 - 6x, (0, 1) , and f(1) = 0 The equation e* = 7 - 6x is equivalent to the equation f(x) = ex - 7+ 6x = 0. f(x) is continuous on the interval [0, 1], f(0) = -6 ✓, there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 76x, in the interval (0, 1). X f(0) ✓✓ <0 < 1(1) Since
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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