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8/22/2016
Assignment Previewer
HWI (9357898)
Due:
Wed Aug 24 2016 08:00 AM EDT
Question
1.
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Question Details
RogaCalc3 5.3.001­008a.XP.Tutorial. [3380475]
­
Find the general antiderivative of f and check your answer by differentiating. (Use C for the constant of the antiderivative.
Remember to use absolute values where appropriate.)
f(x) = x )2
(5 + x
F(x) = 2.
Question Details
RogaCalc3 5.3.001­008b.XP.Tutorial. [3380408]
­
Find the general antiderivative for the function below; assume we have chosen an interval I on which the function is
continuous. The function may require an algebraic manipulation first. (Use C for the constant of integration.)
f(x) = 5
6x2/3
F(x) = 3.
Question Details
RogaCalc3 5.3.001­008c.XP.Tutorial. [3380382]
­
Find the general antiderivative for the function below; assume we have chosen an interval I on which the function is
continuous. The function may require an algebraic manipulation first. (Use C for the constant of integration.)
f(x) = 5 sec2(πx)
F(x) = 4.
Question Details
RogaCalc3 5.3.001­008d.XP.Tutorial. [3380323]
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Find the general antiderivative for the function below; assume we have chosen an interval I on which the function is
continuous. The function may require an algebraic manipulation first. (Use C for the constant of integration.)
f(x) = 81 sin(x) + 9 cos(9x)
F(x) = 5.
Question Details
RogaCalc3 5.3.001­008f.XP.Tutorial. [3380308]
­
Find the general antiderivative for the function below; assume we have chosen an interval I on which the function is
continuous. The function may require an algebraic manipulation first. (Use C for the constant of integration.)
f(x) = 81 − x
9 − x
F(x) = https://www.webassign.net/v4cgi/assignments/preview.tpl?aid=9357898&deployment=14343635&UserPass=979db533fa885ab2779489b8f5821412
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Question Details
RogaCalc3 5.3.001­008f.XP.Tutorial.SA. [3395658]
­
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive
any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise
Find the general antiderivative for the function below; assume we have chosen an interval I on which the
function is continuous. The function may require an algebraic manipulation first.
f(x) = 7.
324 − x
18 − x
Question Details
RogaCalc3 5.3.001. [3385298]
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Find the general antiderivative of f(x) and check your answer by differentiating. (Use C for the constant of integration.)
f(x) = 6x2
8.
Question Details
RogaCalc3 5.3.003. [3385352]
­
Find the general antiderivative of f(x) and check your answer by differentiating. (Use C for the constant of integration.
Remember to use absolute values where appropriate.)
f(x) = 2x4 − 6x2 + 13x−1
9.
Question Details
RogaCalc3 5.3.010­039a.XP.Tutorial. [3380362]
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RogaCalc3 5.3.012. [3385443]
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Evaluate the indefinite integral. (Use C for the constant of integration.)
x 6 + x
2
dx
F(x) = 10.
Question Details
Evaluate the indefinite integral. (Use C for the constant of integration.)
11x−3 dx
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Question Details
RogaCalc3 5.3.016. [3385082]
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RogaCalc3 5.3.025. [3385158]
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Evaluate the indefinite integral. (Use C for the constant of integration.)
16x9/7 dx
12.
Question Details
Evaluate the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where
appropriate.)
x3 + 8x − 2
x2
dx
13.
Question Details
RogaCalc3 5.3.028. [3385409]
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RogaCalc3 5.3.039. [3385145]
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RogaCalc3 5.3.047.Tutorial. [3385471]
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Evaluate the indefinite integral. (Use C for the constant of integration.)
(7θ + 3 sec2(θ)) dθ
14.
Question Details
Evaluate the indefinite integral. (Use C for the constant of integration.)
cos(8θ) − 1
sec2 θ
2
4
dθ
15.
Question Details
Solve the initial value problem.
dy
= 3x3, y(0) = 5
dx
y = https://www.webassign.net/v4cgi/assignments/preview.tpl?aid=9357898&deployment=14343635&UserPass=979db533fa885ab2779489b8f5821412
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Question Details
RogaCalc3 5.3.053. [3385422]
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RogaCalc3 5.3.057. [3385131]
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RogaCalc3 5.3.071. [3385439]
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Solve the initial value problem.
dy
= (3x + 2)5, y(0) = 1
dx
y = 17.
Question Details
Solve the initial value problem.
dy
= cos(3x), y(π) = 4
dx
y = 18.
Question Details
A particle located at the origin at t = 1 s moves along the x­axis with velocity v(t) = 5t2 + 4t m/s. State the differential
equation with initial condition satisfied by s(t) and find s(t).
ds
= dt
, s(1) = 0
s(t) = 19.
Question Details
RogaCalc3 5.3.073. [3385369]
­
A water balloon is dropped from a high building. It falls for 14 s before hitting the ground. Determine the velocity it is
traveling when it is about to hit the ground, assuming an acceleration due to gravity of −9.8 m/s2 and no wind resistance.
m/s
20.
Question Details
RogaCalc3 5.3.077. [3385365]
­
A car traveling 22 m/s begins to decelerate at a constant rate of 5 m/s2. After how many seconds does the car come to a
stop?
s
How far will the car have traveled before stopping?
m
21.
Question Details
RogaCalc3 5.1.004. [3385172]
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The velocity of an object is v(t) = 15t m/s. Find the distance traveled over the time intervals [0, 2] and [2, 6]. Distance over [0, 2] m
Distance over [2, 6] m
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Question Details
RogaCalc3 5.1.005. [3385203]
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RogaCalc3 5.1.008. [3385374]
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RogaCalc3 5.1.012. [3385437]
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RogaCalc3 5.1.014. [3385468]
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Compute R5 and L5 over [0, 1] using the following values.
L5 = R5 = 23.
x
0
0.2
0.4
0.6
0.8
1
f(x)
48
47
46
43
42
40
Question Details
Calculate R8 for f(x) = 7 − x over [3, 5].
R8 = 24.
Question Details
Consider the following figure.
Calculate the area of the shaded rectangles. (Round your answer to three decimal places.)
Which approximation do these rectangles represent?
L6
L5 M6
M5
R6
25.
Question Details
Estimate L4 and R4 over [0, 4] for the function f(x) = 8
x . (Round your answers to three decimal places.) L4 ≈
R4 ≈
26.
Question Details
RogaCalc3 5.1.015. [3385384]
­
Calculate the R3 approximation for f(x) = 10 − x on [5, 7]. R3 = https://www.webassign.net/v4cgi/assignments/preview.tpl?aid=9357898&deployment=14343635&UserPass=979db533fa885ab2779489b8f5821412
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Question Details
RogaCalc3 5.1.018. [3385241]
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RogaCalc3 5.1.029. [3385118]
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RogaCalc3 5.1.032. [3385324]
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RogaCalc3 5.1.034. [3385353]
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RogaCalc3 5.1.035. [3385482]
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RogaCalc3 5.1.037. [3385177]
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Calculate the R5 approximation for f(x) = 10x2 + 12x on [−1, 1].
28.
Question Details
Calculate the following sums.
7
4
= 4
= i = 1
7
i = 0
5
k3 = k = 3
29.
Question Details
10
Calculate the sum k = 1
10
10
(16ak − bk ) assuming that 10
ak = 270 and k = 1
bk = 235.
k = 1
(16ak − bk ) = k = 1
30.
Question Details
30
(9j + 1)2 by expanding and using one of the Power Sums formulas.
Calculate j = 1
31.
Question Details
Evaluate the sum.
20
8(4j)3
j = 1
32.
Question Details
Evaluate the sum.
150
(28n)2
n = 51
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Question Details
RogaCalc3 5.1.039. [3385488]
­
RogaCalc3 5.1.043. [3385424]
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RogaCalc3 5.1.055. [3385099]
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RogaCalc3 5.1.058. [3385472]
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RogaCalc3 5.1.061. [3385063]
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Evaluate the sum.
56
j(j − 1)
j = 0
34.
Question Details
Evaluate the limit.
N
lim N → ∞ 35.
i = 1
i
N2
Question Details
Find a formula for RN for the function f(x) = x2 on [0, 1] in terms of N.
RN = Compute the area under the graph as a limit.
lim RN = N → ∞ 36.
Question Details
Find a formula for RN for the function f(x) = 7x2 + 49x on [6, 11] in terms of N.
RN = Compute the area under the graph as a limit.
lim RN = N → ∞ 37.
Question Details
Find a formula for RN for the function f(x) = 4x + 7 on [3, 6] in terms of N.
RN = Compute the area under the graph as a limit.
lim RN = N → ∞ Assignment Details
Name (AID): HWI (9357898)
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