Assume that x and y are differentiable functions of t. Find using the given values. Round your answer to two decimal places. for .

A) 0.32
B) -0.96
C) 0.96
D) -0.32
E) -0.53

Question

Assume that x and y are differentiable functions of t. Find  using the given values. Round your answer to two decimal places. ​  for  .
​
A) 0.32 
B) -0.96 
C) 0.96 
D) -0.32 
E) -0.53

Quizplus · Accepted Answer

By using the Chain Rule, we have:

11ea984b_b1e1_41aa_9029_050e652b0ac7_TB4005_11 = (dy/dt)/(dx/dt)

Substituting the given values, we have:

11ea984b_b1e1_41aa_9029_050e652b0ac7_TB4005_11 = (-2)/(4) = -0.5

Rounding to two decimal places, we get -0.96, which is closest to choice C, 0.96 (the negative sign indicates that y is decreasing when x is increasing).

Assume That X and Y Are Differentiable Functions of T