Find the average value of the function f over the given region.f(x, y) = ex2 over the region bounded by 
, 
, 
, and 
.
A. 2e - 1
B. e - 1
C. 
D. 
Answer: B
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Solve the equation.(y - 5)2 - (3y + 4)2 = 0
A. - 
B. - 
, - 9
C. - 
, 
D. 9, -1
Find an algebraic expression for the given expression.cos(sin-1 x + cos-1 y)
A. xy - 
B. y
+ x
C. y
- x
D. x
- y
Complete the following for the given f(x). (i) Find f(x + h). (ii) Find the difference quotient of f and simplify.f(x) = 6x2 + 9x - 9
A. (i) 6x2 + 6xh + 6h2 + 9x + 9h - 9 (ii) 6x + 6 + 12h B. (i) 6x2 + 12xh + 6h2 + 9x + 9h - 9 (ii) 12x + 6h + 9 C. (i) 6x2 + 12xh + 6h2 + 9x + 9h - 9 (ii) 12xh + 9h + 6h2 D. (i) 6x2 + 12xh + 6h2 + 9x - 9 (ii) 12x + 9
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.2logy3 + logy2
A. logy12 B. logy3 C. 2logy6 D. logy18