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 derivativeof 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)43211346.789.10We approximate the area under the graph of yf(x), above the x-axis, over the interval [0, 4] by using n = 4 rectangles andleft-hand endnoints.101a)Explain what the value10V'(t) dt represents and find its value.VALUE =.101b)Along the x-axis in the graph above, mark all numbers c which satisfy the equation V'(c) =10v'(t) dt.c)Circle ALL the correct statements about the function V, or write "NONE".A. V(t) = / v'(s) dsC. V(t) = V(0) +V'(s) dsE. V(t) = 10 +V'(s) dsB. V(t) = 10 +v'(s) dsD. V(t)- V(0)v'(s) dsF. V(t) = V(0)+v'(s) ds

Name: 1c. 1) Suppose that V(t) is the volume (in liters) of water in a tank
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Description: 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 derivativeof V) is given in the figure below. At time t = 0, water starts flowing into the tank, which initially contained 5

Answer is option A and option C. Reason :- since after differentiation, they come out to be verifying RHS and LHS criteria. i.e LHS=RHS { after Non-definte integral differentiation

Math

Calculus

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

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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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

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

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