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4. Find an equation of tangent line at the point (-1, 1) to the curve x¹y² + 1 = x² + y³. 5. The length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasing at a rate of 5 ft/s. At what rate is the area of the rectangle increasing when the length is 5ft and the width is 10ft.

4. Find an equation of tangent line at the point (-1, 1) to the curve x¹y² + 1 = x² + y³. 5. The length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasing at a rate of 5 ft/s. At what rate is the area of the rectangle increasing when the length is 5ft and the width is 10ft.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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please Help me Answer questions 4 and 5, thank you in advance 

**4.** Find an equation of the tangent line at the point \((-1, 1)\) to the curve \[ x^4y^2 + 1 = x^2 + y^3. \] **5.** The length of a rectangle is increasing at a rate of \(2 \, \text{ft/s}\), and its width is increasing at a rate of \(5 \, \text{ft/s}\). At what rate is the area of the rectangle increasing when the length is \(5 \, \text{ft}\) and the width is \(10 \, \text{ft}\)?
Transcribed Image Text:**4.** Find an equation of the tangent line at the point \((-1, 1)\) to the curve \[ x^4y^2 + 1 = x^2 + y^3. \] **5.** The length of a rectangle is increasing at a rate of \(2 \, \text{ft/s}\), and its width is increasing at a rate of \(5 \, \text{ft/s}\). At what rate is the area of the rectangle increasing when the length is \(5 \, \text{ft}\) and the width is \(10 \, \text{ft}\)?
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