Determine whether the function is one-to-one.f(x) = -(x + 6)2
A. One-to-one
B. Not one-to-one
Answer: B
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Solve the problem. Round your answer, if appropriate.The volume of a sphere is increasing at a rate of 5 cm3/sec. Find the rate of change of its surface area when its volume is 
cm3. (Do not round your answer.)
A. 
cm2/sec
B. 
cm2/sec
C. 
cm2/sec
D. 10? cm2/sec
Simplify the expression. Express the answer so that only positive exponents occur. Assume that all variables are positive.(16x8y4)1/2
A. 4x4y B. 4x4y2 C. x4y2 D. 4x8y2
Provide an appropriate response.Given the primal problem P below:Maximize f(x) = cxTsubject to Ax ? b x ? 0where c is a vector in ?n, b is a vector in ?n, and A is an m × n matrix, how many constraints and how many variables are in the dual problem?
A. m constraints, n variables B. n constraints, m variables C. n constraints, n variables D. m constraints, m variables
Use mathematical induction to prove that for all integers n ? 5, 1 + 4n < 2^n.
What will be an ideal response?