Perform the indicated operation.(4a5 - 3a3) + (8a5 + 9a3)
A. 18a8
B. 12a10 + 6a6
C. 12a5 + 6a3
D. 18a16
Answer: C
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Find the Jacobian for the given transformation.x = 4u cosh 6v, y = 4u sinh 6v
A. 144u B. 96v C. 96u D. 144v
Use the Lucas sequence to answer the question.What is the 30th term of the Lucas sequence?
A. 1,860,498 B. 3,010,349 C. 1,149,851 D. 710,647
Evaluate the integral by using multiple substitutions.
dy
A. 
+ C
B. 
+ C
C. 2 sin 
+ C
D. 
+ C
Solve.Sue wants to put a rectangular garden on her property using 90 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the rectangle. (Fencing is then needed only on the other three sides.) Let x represent the length of the side of the rectangle along the river. Express the garden's area as a function of x.
A. A(x) = 45x - 
x2
B. A(x) = 45x2 - x
C. A(x) = 46x - 2x2
D. A(x) = 44x - 
x2