Circle ALL the correct statements about the function V, or write "NONE". A. V(t) = V'(s) ds C. V(t) = V(0) + V'(s) ds E. V(t) = 10 + V'(s) ds 3. V(t) = 10 + v'(s) ds D. V(t)–V(0) = / v'(s) ds F. V(t) = V(0)+ v'(s) ds

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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1c.

1) Suppose that V(t) is the volume (in liters) of water in a tank at time t > 0, with t in minutes. The graph of V' (the derivative
of V) is given in the figure below. At time t = 0, water starts flowing into the tank, which initially contained 5 liters.
y = V'(t)
4
3
2
1
1
3
4
6.
7
8
9.
10
We approximate the area under the graph of y
f(x), above the x-axis, over the interval [0, 4] by using n = 4 rectangles and
left-hand endnoints.
10
1
a)
Explain what the value
10
V'(t) dt represents and find its value.
VALUE =.
10
1
b)
Along the x-axis in the graph above, mark all numbers c which satisfy the equation V'(c) =
10
v'(t) dt.
c)
Circle ALL the correct statements about the function V, or write "NONE".
A. V(t) = / v'(s) ds
C. V(t) = V(0) +
V'(s) ds
E. V(t) = 10 +
V'(s) ds
B. V(t) = 10 +
v'(s) ds
D. V(t)- V(0)
v'(s) ds
F. V(t) = V(0)+
v'(s) ds
Transcribed Image Text:1) Suppose that V(t) is the volume (in liters) of water in a tank at time t > 0, with t in minutes. The graph of V' (the derivative of V) is given in the figure below. At time t = 0, water starts flowing into the tank, which initially contained 5 liters. y = V'(t) 4 3 2 1 1 3 4 6. 7 8 9. 10 We approximate the area under the graph of y f(x), above the x-axis, over the interval [0, 4] by using n = 4 rectangles and left-hand endnoints. 10 1 a) Explain what the value 10 V'(t) dt represents and find its value. VALUE =. 10 1 b) Along the x-axis in the graph above, mark all numbers c which satisfy the equation V'(c) = 10 v'(t) dt. c) Circle ALL the correct statements about the function V, or write "NONE". A. V(t) = / v'(s) ds C. V(t) = V(0) + V'(s) ds E. V(t) = 10 + V'(s) ds B. V(t) = 10 + v'(s) ds D. V(t)- V(0) v'(s) ds F. V(t) = V(0)+ v'(s) ds
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