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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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my mM Stude: RTAA Main Add Main DMTH O Modu os https The goog 6 What Goog study MTH

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2x

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
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