Question 16 (1 point) 1.(10 pts) Consider the implicitly defined function x³ y² + y³ = 4. a. Find the derivative of y. b. Find the equation of the tangent line at the point (-1,2). 2 2. (10 pts) Consider the product xy where x and y are positive numbers which 2 must sum to six (6). Find the maximum value of x² y under this contraint. a. Write the constraint equation. b. Use the equation in (a) to write the objective function in terms of the variable x. C. Apply the necessary calculus to solve the problem. Be sure to include a verification step, i.e. why your solution is the maximum. Also, give the maximum value. find the antiderivative F(x) of f(x) = −7+6 sin(3x). Of(x) = = ― -7x+6 cos(3x) + C ○ f(x) = −7x − 2 cos(3x) + C - Of(x) = −7x − 3 cos(2x) + C No correct answer.
Question 16 (1 point) 1.(10 pts) Consider the implicitly defined function x³ y² + y³ = 4. a. Find the derivative of y. b. Find the equation of the tangent line at the point (-1,2). 2 2. (10 pts) Consider the product xy where x and y are positive numbers which 2 must sum to six (6). Find the maximum value of x² y under this contraint. a. Write the constraint equation. b. Use the equation in (a) to write the objective function in terms of the variable x. C. Apply the necessary calculus to solve the problem. Be sure to include a verification step, i.e. why your solution is the maximum. Also, give the maximum value. find the antiderivative F(x) of f(x) = −7+6 sin(3x). Of(x) = = ― -7x+6 cos(3x) + C ○ f(x) = −7x − 2 cos(3x) + C - Of(x) = −7x − 3 cos(2x) + C No correct answer.
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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Transcribed Image Text:Question 16 (1 point)
1.(10 pts) Consider the implicitly defined function x³ y² + y³ = 4.
a.
Find the derivative of y.
b.
Find the equation of the tangent line at the point (-1,2).
2
2. (10 pts) Consider the product xy where x and y are positive numbers which
2
must sum to six (6). Find the maximum value of x² y under this contraint.
a.
Write the constraint equation.
b. Use the equation in (a) to write the objective function in terms of the variable x.
C. Apply the necessary calculus to solve the problem. Be sure to include a
verification step, i.e. why your solution is the maximum. Also, give the maximum
value.
Transcribed Image Text:find the antiderivative F(x) of f(x) = −7+6 sin(3x).
Of(x) =
= ―
-7x+6 cos(3x) + C
○ f(x) = −7x − 2 cos(3x) + C
-
Of(x) = −7x − 3 cos(2x) + C
No correct answer.
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