July 23, 2017

A ball is dropped from a height of 10 feet, and on each rebound it rises to its

preceding height. Write an expression for the height of the nth rebound.

A)

B)

C)

D)

E)

Identify the quadric surface.

A) The graph is an elliptic cone.

B) The graph is hyperboloid of two sheets.

C) The graph is a hyperboloid of one sheet.

D) The graph is an ellipsoid.

E) The graph is an elliptic paraboloid.

Evaluate the definite integral of the algebraic function.

Use a graphing utility to verify your results.

A) "67.0832

B) "115.0555

C) 101.7168

D) 17.3168

E) "182.1386

Find the derivative of the function .

A)

B)

C)

D)

E)

Find an equation of the tangent line to the graph of at the point (0,1) .

A)

B)

C)

D)

E)

Find the supply function that satisfies and the initial

condition x = 600 when .

A)

B)

C)

D)

E)

Find the marginal revenue for producing x units. (The revenue is measured in dollars.)

A)

B)

C)

D)

E)

Write the first-order linear differential equation in standard form.

A)

B)

C)

D)

E)

For the probability density function on the interval find the

probability that . Round your answer to the nearest hundredth.

A) 0.15

B) 0.67

C) 0.78

D) 0.33

E) 0.12

Evaluate the double integral .

A) 92.00

B) 102.00

C) 112.00

D) 29.50

E) 17.00

Complete the table and use the result to estimate the limit.

x

f(x)

A) 2.12132

B) "1.99632

C) "2.12132

D) 1.954654

E) 1.87132

Use integration by parts to find the indefinite integral.

A)

B)

C)

D)

E)

Find the Taylor polynomials (centred at zero) of degree (a) 1, (b) 2, (c) 3, and (d) 4.

A)

B)

C)

D)

E)

Find the indefinite integral of the following function and check the result by

differentiation.

A)

B)

C)

D)

E)

Determine whether there is a relative maximum, a relative minimum, a saddle point, or

insufficient information to determine the nature of the function at the critical

point .

Given:

A) at

B) at

C) at

D) at

Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite

integral for the indicated value of n. Compare these results with the exact value of the

definite integral. Round your answers to four decimal places.

A) a. Exact: b. Trapezoidal Rule: c. Simpson's Rule:

B) a. Exact: b. Trapezoidal Rule: c. Simpson's Rule:

C) a. Exact: b. Trapezoidal Rule: c. Simpson's Rule:

D) a. Exact: b. Trapezoidal Rule: c. Simpson's Rule:

E) a. Exact: b. Trapezoidal Rule: c. Simpson's Rule:

The graph of f is shown. Graph f, f' and f'' on the same set of coordinate axes.

A)

B)

C)

D)

E) none of the above

Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the

graph of and the x-axis over the interval [ ].

A) 13.5671

B) 13.1273

C) 13.3364

D) 13.1250

E) 14.1250

A microbiologist must prepare a culture medium in which to grow a certain type of

bacteria. The percent of salt contained in this medium is given by where

and are the nutrient solutions to be mixed in the medium. For the bacteria to

grow, the medium must be 13% salt. Nutrient solutions and cost $1, $2, and $3

per liter, respectively. How much of each nutrient solution should be used to minimize

the cost of the culture medium?

A)

B)

C)

D)

E)

Determine the following limit. (Hint: Use the graph of the function.)

A) 0

B) does not exist

C) 1

D) "1

E) "2

Find the derivative of

A)

B)

C)

D)

E)

Find the radian measure of the given angle.

750o

A)

B)

C)

D)

E)

A point is moving along the graph of the function such that

centimeters per second.

Find dy/dt when .

A)

B)

C)

D)

E)

Find the x- and y- intercepts of the graph of the equation .

A) x-intercept: ; y-intercept:

B) x-intercepts: , ; y-intercepts: ,

C) x-intercept: ; y-intercept:

D) x-intercepts: , ; y-intercepts: ,

E) x-intercept: ; y-intercept:

A manufacturer of DVD players has monthly fixed costs of $8600 and variable costs of

$75 per unit for one particular model. For this model DVD player, find the function

for monthly total costs where x denotes the number of units produced and sold..

A)

B)

C)

D)

E)

Find the coordinates of the point that is located two units behind of the yz-plane, seven

units to the left of the xz-plane, and four units above of the xy-plane.

A)

B)

C)

D)

E)

Use this equation and Find if the corporation needs $120,000,000 in 8

years and the fund earns 8% interest compounded continuously.

A) $110,708,538.49

B) $10,500,538.49

C) $10,708,538.49

D) $100,708,538.49

E) $1,708,538.49

Evaluate the integral .

A)

B)

C)

D)

E)

A small business recaps and sells tires. The business has a revenue function

and a cost function , where x represents the number of

sets of four tires recapped and sold. Find the number of sets of recaps that must be sold

to break even.

A) 100

B) 500

C) 35

D) 700

E) 80

Find the next three terms of the geometric sequence.

A)

B)

C)

D)

E)

Find all relative minima of the given function.

A)

B)

C)

D) ,

E) no relative minima

Find the general solution of the differential equation

A)

B)

C)

D)

E)