Deck 11: Limits and an Introduction to Calculus

Question 1

Answer 1

E

Question 2

Answer 2

D

Question 3

Find the slope of the graph of the following function at the point (1, -3) .

A) 4
B) -2
C) 6
D) -3
E) -4

Answer 3

B

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Find the following limit, if it exists.

Question 15

Question 16

Question 17

Question 18

Use the function below and its derivative to determine any points on the graph of f at which the tangent line is horizontal.

Question 19

A) -1
B) -4
C) -8
D) 1
E) The limit does not exist.

Question 20

Question 21

Question 22

Question 23

A) 31.50
B) 36.54
C) 1.00
D) 42.39
E) The limit does not exist.

Question 24

Find the slope of the graph of the following function at the point (-1,1) .

A) 4
B) -6
C) 6
D) 1
E) -8

Question 25

Question 26

Use the limit process to find the area of the region between fx( ) =+6x 7 and the x-axis on the interval [0,5] .

A) 185
B) 110
C) 65
D) 75
E) 82

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Find the following limit, if it exists.

A) -3
B) 9
C) 7
D) -11
E) The limit does not exist.

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

Find the following limit, if it exists.

A) -3
B) -15
C) 3
D) -243
E) The limit does not exist.

Question 39

Question 40