10) *- dy + 8, y(1) = 1 10) dx A) y = Vx + 8x - 8 В) у%3D 1 + 8x - 8 27 C) y =x + 8x + 10 D) y = + 8x 4 4

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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10) -
dy
dx 2x
1
+ 8, y(1) = 1
10)
A) y =x + 8x
B) у
1
+ 8x - 8
- 8
D) y =V+ 8x -
27
C) y = x + 8x + 10
4
Solve the problem.
11) Given the velocity and initial position of a body moving along a coordinate line at time t, find the
body's position at time t.
11)
V = cos t, s(0) = 1
2 sin t
B) s = sin t
A) s =
2
2
D) s =
TT
sin
C) s =
. 2π sin
-t + T
12) A rocket lifts off the surface of Earth with a constant acceleration of 30 m/sec2. How fast will the
rocket be going 2.5 minutes later?
A) 37.5 m/sec
12)
B) 75 m/sec
C) 187.5 m/sec
D) -75 m/sec
Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.
13) f(x) = x2 between x = 1 and x = 5 using a lower sum with four rectangles of equal width.
A) 54
13)
B) 69
C) 30
D) 41
14) f(x) = x2 between x = 3 and x = 7 using an upper sum with four rectangles of equal width.
D) 126
14)
A) 86
B) 117
C) 105
Transcribed Image Text:10) - dy dx 2x 1 + 8, y(1) = 1 10) A) y =x + 8x B) у 1 + 8x - 8 - 8 D) y =V+ 8x - 27 C) y = x + 8x + 10 4 Solve the problem. 11) Given the velocity and initial position of a body moving along a coordinate line at time t, find the body's position at time t. 11) V = cos t, s(0) = 1 2 sin t B) s = sin t A) s = 2 2 D) s = TT sin C) s = . 2π sin -t + T 12) A rocket lifts off the surface of Earth with a constant acceleration of 30 m/sec2. How fast will the rocket be going 2.5 minutes later? A) 37.5 m/sec 12) B) 75 m/sec C) 187.5 m/sec D) -75 m/sec Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed. 13) f(x) = x2 between x = 1 and x = 5 using a lower sum with four rectangles of equal width. A) 54 13) B) 69 C) 30 D) 41 14) f(x) = x2 between x = 3 and x = 7 using an upper sum with four rectangles of equal width. D) 126 14) A) 86 B) 117 C) 105
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