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Solved: Diagonals If x, y, and z are lengths of the edges
Chapter 3, Problem 18E(choose chapter or problem)
Diagonals If x, y, and z are lengths of the edges of a rectangular box, the common length of the box’s diagonals is s = a. Assuming that x, y, and z are differentiable functions of t, how is ds/dt related to dx/dt, dy/dt, and dz/dt? b. How is ds/dt related to dy/dt and dz/dt if x is constant? c. How are dx/dt, dy/dt, and dz/dt related if s is constant?
Questions & Answers
QUESTION:
Diagonals If x, y, and z are lengths of the edges of a rectangular box, the common length of the box’s diagonals is s = a. Assuming that x, y, and z are differentiable functions of t, how is ds/dt related to dx/dt, dy/dt, and dz/dt? b. How is ds/dt related to dy/dt and dz/dt if x is constant? c. How are dx/dt, dy/dt, and dz/dt related if s is constant?
ANSWER:SOLUTION Step 1 of 4 Here, we have to find the following. 2 2 2 Given s = + y + z .