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hello i uploaded the screen shots Due time is in 75 min
10:14
LTE السر
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2. [-73 Points]
DETAILS
SCALC8 4.3.005.
Sketch the area represented by g(x).
g(x) =
t4 dt
у
t
1
х
y
t
1
Then find g'(x) in two of the following ways.
(a) by using Part 1 of the Fundamental Theorem
g'(x) =
(b) by evaluating the integral using Part 2 and then differentiating
g'(x) =
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10:14
All LTE
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Assignment Scoring
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1. [-/8 Points]
DETAILS
SCALC8 4.3.003.
MY NOTES
ASK YOUR
Let g(x) =
ES
f(t) dt, where f is the function whose graph is shown.
y
f
4
t
4
20
(a) Evaluate g(0), g(4), g(8), g(12), and g(24).
g(0) =
g(4) =
g(8) =
9(12) =
g(24) =
(b) On what interval is g increasing? (Enter your answer using interval notation.)
(c) Where does g have a maximum value?
X =
(d) Sketch a rough graph of g.
у
у
16
g(x)
X
4
16
g(x)
4
у
у
16
4
g(x)
16
X
4
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2. [-/3 Points]
DETAILS
CAL
45.00
MY NOTES
ASK YOUR
10:14
All LTE
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3. [-/1 Points]
DETAILS
SCALC8 4.3.007.
MY NC
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
g(x)
– [* VR + ede
g'(x) =
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4. [-/1 Points]
DETAILS
SCALC8 4.3.011.
MY NC
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
X
F(x) =
– ſºva
V 8 + sec(3t) dt
Hint:
0
V 8 + sec(3t) dt = –
-6
V8 + sec(3t) d
dt
F'(x) =
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5. [-/1 Points]
DETAILS
SCALC8 4.3.019.
MY NC
Evaluate the integral.
La
(x2 + 2x – 4) dx
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6. [-/1 Points]
DETAILS
SCALC8 4.3.021.
MY NC
Evaluate the integral.
5 * * 3 – 2 2 + şe) de
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7. [-/1 Points]
DETAILS
SCALC8 4.3.023.
MY NC
Evaluate the integral.
√x ax
10:14
..Il LTE
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7. [-/1 Points]
DETAILS
SCALC8 4.3.023.
MY NC
Evaluate the integral.
9
$
√x dx
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8. (-/1 Points]
DETAILS
SCALC8 4.3.027.
MY NC
Evaluate the integral.
“1
to
(u + 2)(u – 3) du
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9. [-/1 Points]
DETAILS
SCALC8 4.3.029.
MY NO
Evaluate the integral.
79 6 + x2
dx
√x
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10. [-/1 Points]
DETAILS
SCALC8 4.3.037.
MY NO
Use a graph to give a rough estimate of the area of the region that lies beneath the given cur
y = 2 sin(x), 0
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