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Calculus summer test 1

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

The equation y=(x+1)2+10y=\left(x+1\right)^2+10  

a)

Moves the function to the right 1 unit, and up 10 units.

b)

Moves the function to the left 1 unit, and down 10 units.

c)

Moves the function to the right 10 units, and down 1 unit.

d)

Moves the function to the right 1 unit, and down 10 units.

2.

What is 1?

a)

e0 and 1ee^0\ and\ 1^e  

b)

e1 and 1ee^1\ and\ 1^e  

c)

π0 and 10π\pi^0\ and\ 10^{\pi}   

d)

i and +i-i\ and\ +i  

3.

e0.1x = 10e^{0.1x\ }=\ 10  

a)

50.5

b)

10 ln 10

c)

0.1 ln 10

d)

10e0.1\frac{10}{e^{0.1}}  

4.

A road goes up 1 foot for every 7 feet on the ground. What is the length when the the height is 7 feet?

a)

28.8

b)

52

c)

35

d)

12

5.

For y is a real number and y=x2y=\sqrt[]{x-2}  and x=1x=1  

a)

y=-i

b)

y is undefined

c)

y is infinity

d)

y =-1

6.

ln(x-3)=2 solve x

a)

1

b)

2.7

c)

10.4

d)

e-3

7.

For points (-5,-7) and (-9, -2), what is the slope

a)

-4/5

b)

4/5

c)

4*5

d)

-5/4

8.

4+5e4x=6-4+5e^{4x}=6  

a)

x=4ln5

b)

x=-.25ln2

c)

x=e*e

9.

cos2x+sin2x=y\cos^2\sqrt[]{x}+\sin^2\sqrt[]{x}=y  and x=π2x=\pi^2  

a)

y=0

b)

y=1

c)

y=-1

d)

y= π\pi  

10.

What is the asymptote of 1/(x-2)?

a)

none

b)

y=2

c)

x=2

d)

infinity