Find the average value over the given interval.y = e-x; [0, 3]
A. 
B. 1 - e-3
C. e-1.5
D. 
Answer: A
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Provide an appropriate response.Consider the following counting problem. How many different sequences of 3 letters can be formed using the letters 
if repetition is allowed? To solve this problem which of the following rules would you use?
A. Both the permutations rule and the fundamental counting principle B. The fundamental counting principle only C. The combinations rule only D. The permutations rule only
Solve the equation for x, where x is restricted to the given interval.3y = tan 6x, for x in 
A. x = 6 arctan 
B. x = 
arctan y
C. x = 2 arctan y
D. x = 
arctan 3y
Use grouping to factor the polynomial.5x3 + 15x2 - 2x - 6
A. (5x2 + 2)(x - 3) B. (5x2 - 2)(x + 3) C. (5x2 - 2)(x - 3) D. (5x2 + 2)(x + 3)
Provide an appropriate response.Write the equation y = -6x - 9 in standard form.
A. 6x + y = -9 B. -6x + y = 9 C. 6x + y = 9 D. 6x - y = -9