# extenssion

Education

18

All Questions

14

Multiple Choice

0

True False

4

Essay

0

Short Answer

0

Not Answered

Q 1

What does the limit statement represent?
A)0
B)
C) ,if
D)6

Free

Multiple Choice

C

Q 2

Find the derivative of the function .
A)
B)
C)
D)

Free

Multiple Choice

D

Q 3

Find if .
A)
B)
C)
D)

Free

Multiple Choice

D

Q 4

Find for .
A)
B)
C)
D)

Multiple Choice

Q 5

If the nth derivative of is denoted as and ,then is the same as
A)
B)
C)
D)

Multiple Choice

Q 6

Find the second derivative of if .
A)
B)
C)
D)

Multiple Choice

Q 7

Find for .
A)
B)
C)
D)

Multiple Choice

Q 8

In right triangle ,point is moving along a leg of the right triangle toward point at a rate of cm/sec and point is moving toward point at a rate of cm/sec along a line containing the other leg of the right triangle,as illustrated in the triangle shown below.What is the rate of change in the area of ,with respect to time,at the instant when cm and cm?
A)-4.48 cm

^{2}/sec B)-3.36 cm^{2}/sec C)-3.2 cm^{2}/sec D)-4 cm^{2}/sec Multiple Choice

Q 9

If ,find in terms of and .
A)
B)
C)
D)

Multiple Choice

Q 10

If , and ,what is the equation of the tangent line to at ?
A)
B)
C)
D)

Multiple Choice

Q 11

For what positive value of does the tangent line to the curve intersect the -axis at the point ?
A)4.076
B)3.375
C)3.638
D)4.383

Multiple Choice

Q 12

For what values of and is the piecewise function differentiable?
A) and
B) and
C) and
D) and

Multiple Choice

Q 13

If ,then
A)
B)
C)
D)

Multiple Choice

Q 14

When the height of a cylinder is 18 cm and the radius is 6 cm,the circumference of the cylinder is increasing at a rate of cm/min,and the height of the cylinder is increasing four times faster than the radius.How fast is the volume of the cylinder changing?
A) cm

^{3}/min B) cm^{3}/min C) cm^{3}/min D) cm^{3}/min Multiple Choice

Q 15

An isosceles triangle is inscribed in a semicircle,as shown in the diagram,and it continues to be inscribed as the semicircle changes size.The area of the semicircle is increasing at the rate of 1 cm

^{2}/sec when the radius of the semicircle is 6 cm. -How fast is the radius of the semicircle increasing when the radius is 6 cm? Include units in your answer. Round your answer to 3 decimal places. Essay

Q 16

How fast is the perimeter of the semicircle increasing when the radius is 6 cm? Include units in your answer.Round your answer to 3 decimal places.

Essay

Q 17

How fast is the area of the isosceles triangle increasing when the radius is 6 cm? Include units in your answer.Round your answer to 3 decimal places.

Essay

Q 18

How fast is the shaded region increasing when the radius is 6 cm? Include units in your answer.Round your answer to 3 decimal places.

Essay