The Tangent and Velocity Questionnaire

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3. [-75 Points]
DETAILS
SCALCET9 2.XP.1.002.
A graphing calculator is recommended.
If a ball is thrown into the air with an initial velocity of 44 ft/s, its height in feet after t seconds is given by y = 44t – 16t2.
(a) Find the average velocity of the ball (in ft/s) for the time interval beginning at t = 2 and lasting for each of the following.
0.5 seconds
ft/s
(ii) 0.1 seconds
ft/s
(iii) 0.05 seconds
ft/s
(iv) 0.01 seconds
ft/s
t
(b) Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2.
ft/s
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DETAILS
4. [-/5 Points]
SCALCET9 2.1.006.MI.
my mi
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PREVIOUS ANSWERS
SCALCET9 2.2.004.
DETAILS
4. [076 Points]
Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)
YA
4
2
0
2.
4
(a)
lim f(x)
x-2-
(b)
lim f(x)
x2+
2
lim fx)
x2
(d) f(2)
(e)
lim f(x)
x 4
() f(4)
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EF
5. [-75 Points]
DETAILS
SCALCET9 2.2.005.
For the function f whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)
YA
4
2
0
2
4
.
(a) lim f(x)
X-1
(b)
lim f(x)
X-3
(C)
lim f(x)
X→3+
(d) lim f(x)
X-3
(e) f(3)
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6. [-/12 Points]
DETAILS
SCALCET9 2.2.006.
For the function h whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.)
y
h
-4
-2
X
-4
-2
2
4
6
8
od
6
(a)
lim
X-3
h(x)
(b)
lim
h(x)
X-3+
(c)
lim h(x)
X-3
(d) h(-3)
(e)
lim h(x)
xo-
(f)
lim h(x)
x ot
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(c)
limh(x)
X+ -3
(d) (-3)
(e)
lim h(x)
xo-
(f)
lim h(x)
(9)
lim h(x)
x 0
(h) h(0)
(i)
lim_h(x)
X2
6) h(2)
(k)
lim
h(x)
x → 5+
(1)
lim h(x)
x → 5-
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7. [-18 Points]
DETAILS
SCALCET9 2.XP.2.002.
Use the graph of g to find the value of each expression. (If an answer does not exist, enter DNE.)
y
9
4
-2
х
2
4
-2
(a)
lim g(x)
X-0
(b)
lim
g(x)
x ot
(c)
lim
& 09(x)
(d)
lim g(x)
X2
(e)
lim
g(x)
x → 2+
lim
+29(x)
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(b)
lim
g(x)
X — 0+
(c)
lim g(x)
X 0
(d)
lim
x2
g(x)
(e)
lim g(x)
X – 2+
lim g(x)
X2
(9) g(2)
(h)
lim g(x)
x 4
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8. [-/6 Points]
DETAILS
SCALCET9 2.2.009.
For the function f whose graph is shown, state the following. (If the limit is infinite, enteros’ or ‘-..’, as appropriate. If the limit does not otherwise exist, enter DNE.)
Figure
Description
y
x
-81
-6 -4
-2
2
4
6
(a)
lim_f(x)
X→-7
(b)
lim f(x)
x–3
(c)
lim f(x)
X 0
(d)
lim f(x)
x 6
-2
0
(a)
lim_ f(x)
X +-7
(b)
lim f(x)
X-3
(C)
lim f(x)
X-0
(d)
lim
x = 6
(e)
lim
f(x)
x 6+
(f)
the equations of the vertical asymptotes (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
X=
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新建
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5 Dash 2.IHR Mies 5
QUESTION PARTS
1
N
TOTAL
1/1
-/1
POINTS
1/2
s
✓
SUBMISSIONS USED
3/5
0/5
(1 + x if x < -1 Let f(x) = x2 if -1 Purchase answer to see full attachment Tags: velocity slope Tangent User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.