EVALUATION. Do as indicated. Write TRUE if the statement is true otherwise write FALSE. 1. The given equation y3 + 4y2 + 3x?y + 10 = 0 is an implicit function. 2. The slope of xy² + x = 1 at (1/2,1) is 2. 3. The derivative of y = Vx is 3x2/3 Determine the expression that gives the derivative of the function. Write the letter of the correct answer. 1. х2 — ху + у? %3D1 у-2х A. 2y-x y+2x В. 2y-x 2х C. x-2y D. +2x 2. у%3D sin*(3x) A. 12sin³(3x) B. 4sin3(3x)cos(3x) C. 12sin(3x)cos(3x) D. -12sin³(3x)cos(3x) 3. What is the slope of the line tangent to the curve 2x? – 3y² = 2xy – 6 at the point (3,2)? А. О В. 4/9 С. 7/9 D. 5/3
EVALUATION. Do as indicated. Write TRUE if the statement is true otherwise write FALSE. 1. The given equation y3 + 4y2 + 3x?y + 10 = 0 is an implicit function. 2. The slope of xy² + x = 1 at (1/2,1) is 2. 3. The derivative of y = Vx is 3x2/3 Determine the expression that gives the derivative of the function. Write the letter of the correct answer. 1. х2 — ху + у? %3D1 у-2х A. 2y-x y+2x В. 2y-x 2х C. x-2y D. +2x 2. у%3D sin*(3x) A. 12sin³(3x) B. 4sin3(3x)cos(3x) C. 12sin(3x)cos(3x) D. -12sin³(3x)cos(3x) 3. What is the slope of the line tangent to the curve 2x? – 3y² = 2xy – 6 at the point (3,2)? А. О В. 4/9 С. 7/9 D. 5/3
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:EVALUATION. Do as indicated.
Write TRUE if the statement is true otherwise write FALSE.
1. The given equation y3 + 4y2 + 3x?y + 10 = 0 is an implicit function.
2. The slope of xy² + x = 1 at (1/2,1) is 2.
3. The derivative of y = Vx is
3x2/3
Determine the expression that gives the derivative of the function. Write the letter of
the correct answer.
1. х2 — ху + у? %3D1
у-2х
A.
2y-x
y+2x
В.
2y-x
2х
C.
x-2y
D. +2x
2. у%3D sin*(3x)
A. 12sin³(3x)
B. 4sin3(3x)cos(3x)
C. 12sin(3x)cos(3x)
D. -12sin³(3x)cos(3x)
3. What is the slope of the line tangent to the curve 2x? – 3y² = 2xy – 6
at the point (3,2)?
А. О
В. 4/9
С. 7/9
D. 5/3
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