8. The length L, width W, and height H of a box change with time. As a certain instant the dimensions are L = 1m and W = H = 2m, and L and W are increasing at a rate of 2 m/s while H is decreasing at a rate of 3 m/s. At that instant find the rates at which the following quantities are changing: a. the volume b. the surface area c. the length of the diagonal.

8. The length L, width W, and height H of a box change with time. As a certain instant the dimensions are L = 1m and W = H = 2m, and L and W are increasing at a rate of 2 m/s while H is decreasing at a rate of 3 m/s. At that instant find the rates at which the following quantities are changing: a. the volume b. the surface area c. the length of the diagonal.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...

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