Exam 4: Graphing and Optimization
Exam 1: Functions and Graphs71 Questions
Exam 2: Limits and the Derivative188 Questions
Exam 3: Additional Derivative Topics98 Questions
Exam 4: Graphing and Optimization126 Questions
Exam 5: Integration38 Questions
Exam 7: Multivariable Calculus92 Questions
Exam 8: Appendix A: Basic Algebra Review44 Questions
Exam 9: Appendix B: Special Topics Online at Googlmjbxrg20 Questions
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Provide an appropriate response.
-Solve the linear system corresponding to the following augmented matrix: 

(Essay)
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Solve the problem.
-Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The income from the 5% and 6% investments is the same as the income
From the 8% investment. Find the amount invested at each rate.
(Multiple Choice)
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User row operations to change the matrix to reduced form.
-

(Multiple Choice)
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Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM.
-Hurst's Feed & Seed sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $31.00. To another customer he sold 2 bushels of wheat, 3 of corn, and 5 of rye, for $27.60. To a third customer he sold 3 bushels of wheat, 5 of corn, and
2 of rye for $32.70. What was the price per bushel for each of the different grains?
Let x represent the price per bushel for wheat, y the price per bushel for corn, and z the price per bushel for rye.
(Multiple Choice)
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Solve the problem.
-Your screen print operation is doing extremely well at the craft shows. Last week you sold 50 tie-dyed shirts for $15 each, 40 Cheraw-Tech crew shirts for $10 each and 30 handpainted T-shirts for $12 each. Use matrix
Operations to calculate your total revenue for the week.
(Multiple Choice)
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Perform the operation, if possible.
-Let A =
an ad B =
. Fi. Fnd AB.


(Multiple Choice)
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Solve the problem.
-A company that manufactures laser printers for computers has monthly fixed costs of sts of $177,000 and variable
costs of f $650 per unit produced. The company sells the printers for s for $1,250 per uni per unt. How many printers must be
sold each month for the company to break even?
(Essay)
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Perform the indicated row operations on the following matrix.
-


(Multiple Choice)
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Identify the row operation that produces the resulting matrix.
-

(Multiple Choice)
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Solve the problem.
-Given the technology matrix M and the final demand matrix D stated below, find (I - M)-1 and find the output
matrix X. 

(Essay)
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Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM.
-If $9,000 is to be invested, part at 13% and the rest at 8% simple interest, how much should be invested at each
rate so that the total annual return will be the same as $9,000 invested at 9%? Set up a system of linear
equations, letting x1 be the amount invested at 13% and t 13% and
be the amount invested at 8%.

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Perform the operation, if possible.
-Let B = -1 6 7 -3 . Find -2B.
(Multiple Choice)
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Provide an appropriate response.
-Use the augmented matrix to solve the system: 

(Multiple Choice)
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Provide an appropriate response.
-Use a graphing utility and augmented matrix methods to solve the system:
Express your answer accurate to three decimal places.

(Essay)
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Use the given encoding matrix A to solve the problem.
-A message has been encoded and the matrix which the receiver gets is shown below.
The encoding matrix A which was used to encode the message is:
Find the decoding matrix x A
, and use it to decode , and use it to decode the message. Assume that the numerical assignment used was was a
26, spac spae = 30, period = 40, and apostrophe =
60.




(Multiple Choice)
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Perform the operation, if possible.
-Let A =
an ad B =
. . Find A + B.


(Multiple Choice)
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