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BASCAL Pre-Test

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

What is the limit of function of 3x+9 as x approaches -1?

a)

-6

b)

-3

c)

6

d)

3

2.

What is the expression for the limit of function x2 as x approaches 4?

a)

limx2(4)\lim_{x\rightarrow2}\left(4\right)  

b)

limx24(x2)\lim_{x^2\rightarrow4}\left(x^2\right)  

c)

limx4(x2)\lim_{x\rightarrow4}\left(x^2\right)  

d)

limx2(4x)\lim_{x\rightarrow2}\left(4x\right)  

3.

If L is the limit of the function of f(x) as x approaches a and M is the limit of the function of g(x) as x approaches a, then the limit of the function f(x) g(x) as x approaches a is equal to __________.

a)

L+M

b)

LM

c)

L / M

d)

L - M

4.

limx5(10)=?\lim_{x\rightarrow5}\left(10\right)=?  

a)

1

b)

2

c)

5

d)

10

5.

Determine the limit of function of y5 + 3y4 - 7y3 + 5y2 - y - 10 as y approaches -1.

a)

-9

b)

5

c)

-5

d)

8

6.

limx4(x4x216)\lim_{x\rightarrow4}\left(\frac{x-4}{x^2-16}\right)  

a)

infinity

b)

undefined

c)

0

d)

18\frac{1}{8}  

7.

Considering the table, what is the limit of function of f(x) as x approaches 2 where f(x) is equal to the ratio of (x+3) to (x-2)2 ?

a)

infinity

b)

undefined

c)

2

d)

0

8.

The derivative of sin (x) is ________.

a)

tan (x)

b)

sec (x)

c)

cos (x)

d)

csc (x)

9.

The derivative of cos (x) is _________.

a)

- cot (x)

b)

- sin (x)

c)

- csc (x)

d)

- sec (x)

10.

The derivative of ex is __________.

a)

exe^x  

b)

xex1x\cdot e^{x-1}  

c)

e

d)

0

11.

The derivative of ln (x) is __________.

a)

ln(x)\ln\left(x\right)  

b)

1x\frac{1}{x}  

c)

xx  

d)

1ln(x)\frac{1}{\ln\left(x\right)}  

12.

The derivative of tangent x is __________.

a)

csc2(x)-\csc^2\left(x\right)  

b)

csc(x)cot(x)-\csc\left(x\right)\cdot\cot\left(x\right)  

c)

sec(x)tan(x)\sec\left(x\right)\cdot\tan\left(x\right)

d)

sec2(x)\sec^2\left(x\right)  

13.

Determine the integral of the function x2 dx\int_{ }^{ }x^2\ dx  

a)

CC  

b)

x+Cx+C  

c)

x22+C\frac{x^2}{2}+C  

d)

x33+C\frac{x^3}{3}+C  

14.

Determine the integral of the function cosx dx\int_{ }^{ }\cos x\ dx  

a)

sinx +C\sin x\ +C  

b)

secx+C\sec x+C  

c)

cscx+C-\csc x+C  

d)

cotx+C-\cot x+C  

15.

The integral of the function 0 is __________.

a)

00  

b)

x+Cx+C  

c)

CC  

d)

11