×
×

# Answer: Derivatives Consider the following parametric ISBN: 9780321570567 2

## Solution for problem 47E Chapter 10.1

Calculus: Early Transcendentals | 1st Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Calculus: Early Transcendentals | 1st Edition

4 5 1 387 Reviews
16
0
Problem 47E

Derivatives Consider the following parametric curves.

a. Determine dy/dx in terms of t and evaluate it at the given value of t.

b. Make a sketch of the curve showing the tangent line at the point corresponding to the given value of t.

x = cos t, y = 8 sin t; t = π/2

Step-by-Step Solution:

Solution 47EStep 1:

To obtain the derivative we need which we can also write as Evaluating and separately, we get    Putting the values and in to evaluate , we get .Hence the value of is . at is which means the tangent at this point is a horizontal line.

Step 2 of 2

##### ISBN: 9780321570567

Unlock Textbook Solution