
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Question
Tell whether the following functions are linearly dependent or linearly independent using the Wronskian.

Transcribed Image Text:6. e* cos 9x , e9% sin x
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- Use the Wronskian to determine if the given functions are linearly independent on the indicated interval. f(x) = 13, g(x)=x, h(x) = 3x²; the real line Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) OA. The Wronskian W(f, g, h) =. As W is identically 0 on the real line f(x), g(x) and h(x) are linearly dependent. OB. The Wronskian W(f, g, h) = C. The Wronskian W(f, g, h) = D. The Wronskian W(f, g, h) = . As W is never 0 on the real line f(x), g(x) and h(x) are linearly dependent. As W is identically 0 on the real line f(x), g(x) and h(x) are linearly independent. As W is never 0 on the real line f(x), g(x) and h(x) are linearly independent.arrow_forwardThe Wronskian has been computed. Determine whether the functions are linearly independent or dependent. W = et %3D 2e* = 2e 2x - 2e2x = 0 et 2e* %3D O independent O dependent 98arrow_forwardPlease help me. Thankyou.arrow_forward
- Suppose that z is a differentiable function of s, t, u, and v. Also suppose that s, t, u, and v are differentiable functions of x and y. Write the chain rule formula for дz/дх.arrow_forwardStudy the maximum and minimum points of the function f defined below:A - f(x,y) = xe -2x 2024 -2y 2024 -2x2024-2y2024 A. f(x, y) = xearrow_forward
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