Use the given transformation to evaluate the integral.    Rwhere R is the parallelogram bounded by the lines    

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A. 420
B.
C.
D. 840

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Answer: B

Mathematics

Perform the operation, if possible.A =  , B =   Find AB.

A.
 
B.

C.

D.

Find the general solution of the differential equation. = 21x2

A. 21x³ + C
B.  + C
C. x³ + C
D. 7x³ + C

Set up the linear programming problem.Eric's Carpentry manufactures two types of bookshelves that are 4 feet tall and 3 feet wide, a basic model and a deluxe model. Each basic bookshelf requires 1.5 hours for assembly and 1 hour for finishing; each deluxe model requires 2.5 hours for assembly and 1 hour for finishing. Two assemblers and one finisher are employed by the company, and each works 40 hours per week.(a) Using x to denote the number of basic bookcases and y to denote the number of deluxe bookcases, write a system of linear inequalities that describes the possible number of each model of bookcase that can be manufactured in a week.(b) Graph the system and label the corner points.

What will be an ideal response?

Solve the variation problem.The intensity of a radio signal from a radio station varies inversely as the square of the distance from the station. If the intensity is 8000 units at a distance of 2 miles, what will it be at a distance of 14 miles? Round to the nearest unit.

A. 127 units B. 163 units C. 189 units D. 146 units