Type
Quiz
Book Title
Calculus: An Applied Approach (Textbooks Available with Cengage Youbook) 10th Edition
ISBN 13
978-1133109280

MATH 84669

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)

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