Find the area of the figure using determinants.

A. 29.0
B. 27.5
C. 28.0
D. 28.5


Answer: D

Mathematics

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Use identities to simplify the expression.1 - 

A. tan ? sec ? B. cos2 ? C. cot ? csc ? D. sin2 ?

Mathematics

Provide an appropriate response.Consider the quartic function f(x) = ax4 + bx3 + cx2 + dx + e, a ? 0. Must this function have at least one critical point? Give reasons for your answer. (Hint: Must  for some x?) How many local extreme values can f have?

What will be an ideal response?

Mathematics

Determine two functions, designated by y1 and y2, such that their union will give the graph of the given equation.(y + 2)2 + x2 = 16

A. y1 = -2 +  and y2 = -2 - 
B. y1 = -2 + (16 - x2)2 and y2 = -2 - (16 - x2)2
C. y1 = -2 +  and y2 = -2 - 
D. y1 = -2 +   and y2 = -2 - 

Mathematics

Solve the problem.Use the formula A = P(1 + r)2 to find what the rate of interest is if a principal amount of $5000 grows to $6160.50 in 2 years, if interest is compounded annually.

A. 9% B. 12% C. 11% D. 13%

Mathematics