Provide an appropriate response. 3) Find all points (x, y) on the graph of f(x) = 2x² −3x with tangent lines parallel to the line y = 9x + 9. A) (6, 9) B) (3,9) C) (0, 0), (3,9) D) (3, 18)

Calculus: Early Transcendentals
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Author:James Stewart
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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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Provide an appropriate response.
3) Find all points (x, y) on the graph of f(x) = 2x² −3x with tangent lines parallel to the line y = 9x + 9.
A) (6, 9)
B) (3,9)
C) (0, 0), (3,9)
D) (3, 18)
Find the derivative of the function.
x3
x - 1
4) y
A) y' =
2x3 - 3x²
(x-1)2
B) y':
2x3 + 3x2
(x-1)²
C) y'=
-2x3 + 3x2
(x-1)2
D) y'=
C) -92 m/sec
-2x3 - 3x²
(x-1)2
The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.
5) s = 6t³ + 8t² + 5, −3≤t≤-1
Find the body's average velocity for the given time interval.
A) 46 m/sec
B) 3.5 m/sec
D) -7 m/sec
Transcribed Image Text:Provide an appropriate response. 3) Find all points (x, y) on the graph of f(x) = 2x² −3x with tangent lines parallel to the line y = 9x + 9. A) (6, 9) B) (3,9) C) (0, 0), (3,9) D) (3, 18) Find the derivative of the function. x3 x - 1 4) y A) y' = 2x3 - 3x² (x-1)2 B) y': 2x3 + 3x2 (x-1)² C) y'= -2x3 + 3x2 (x-1)2 D) y'= C) -92 m/sec -2x3 - 3x² (x-1)2 The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds. 5) s = 6t³ + 8t² + 5, −3≤t≤-1 Find the body's average velocity for the given time interval. A) 46 m/sec B) 3.5 m/sec D) -7 m/sec
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