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2. Find y': sin(x+y)% y2 cos x.

2. Find y': sin(x+y)% y2 cos x.

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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Calculus 1 Seatwork on Module 5-6 Solve the following problems. Scan your work and convert to pdf then submit before the deadline in gclassroom using the file name below. 1. The diameter of a right circular cylinder is equal to its altitude. Letting V and S be the respective volume and surface area of the cylinder and 2r the diameter, use differentials to estimate the maximum possible error, relative error, and percentage error in computing (a) the volume of this cylinder and (b) the surface area of the cylinder when the measured diameter is 20 cm and the maximum possible error in the measurement is 0.1 cm. 2. Find y': sin(x + y) y2 cos x. 3. Find y': y5 + 3x?y2 + 5x* = 12. 4. Find y': y5+x²y³ = 1+ ye*. 5. Find an equation of the line tangent to the curve of y = cos x at the point .0). 6. Find an equation of the line tangent to the curve of y = In x at x = 1. 7. Find an equation of the line tangent to the curve of y = Vx at x = -8. 8. Find equations of the lines tangent and normal to the curve of the function x2/3 + y2/3 = 4 at the point (-3v3, 1). 9. Find equations of the lines tangent and normal to the curve of the function y? = 5x* – x² at the point (1, 2). 10. Find equations of the lines tangent and normal to the curve of the function y? = x*(2 – x) at the point (1, 1). 11. Trace the graph of the curve y = x -3x. Find the critical points, relative maximum and/or minimum point and the point of inflection. 12. Given the following parametric curves: (x = 1+ 8t a. ly = 3 – 4y (x = t-2 b. ly = t2 – 1 c. f* = et – 1 y = e 3t For each, solve the following: i. Express in rectangular form. dy ii. dx iii. dx
Transcribed Image Text:Calculus 1 Seatwork on Module 5-6 Solve the following problems. Scan your work and convert to pdf then submit before the deadline in gclassroom using the file name below. 1. The diameter of a right circular cylinder is equal to its altitude. Letting V and S be the respective volume and surface area of the cylinder and 2r the diameter, use differentials to estimate the maximum possible error, relative error, and percentage error in computing (a) the volume of this cylinder and (b) the surface area of the cylinder when the measured diameter is 20 cm and the maximum possible error in the measurement is 0.1 cm. 2. Find y': sin(x + y) y2 cos x. 3. Find y': y5 + 3x?y2 + 5x* = 12. 4. Find y': y5+x²y³ = 1+ ye*. 5. Find an equation of the line tangent to the curve of y = cos x at the point .0). 6. Find an equation of the line tangent to the curve of y = In x at x = 1. 7. Find an equation of the line tangent to the curve of y = Vx at x = -8. 8. Find equations of the lines tangent and normal to the curve of the function x2/3 + y2/3 = 4 at the point (-3v3, 1). 9. Find equations of the lines tangent and normal to the curve of the function y? = 5x* – x² at the point (1, 2). 10. Find equations of the lines tangent and normal to the curve of the function y? = x*(2 – x) at the point (1, 1). 11. Trace the graph of the curve y = x -3x. Find the critical points, relative maximum and/or minimum point and the point of inflection. 12. Given the following parametric curves: (x = 1+ 8t a. ly = 3 – 4y (x = t-2 b. ly = t2 – 1 c. f* = et – 1 y = e 3t For each, solve the following: i. Express in rectangular form. dy ii. dx iii. dx
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