Find the area or volume.Find the area of the region in the first quadrant between the curve y = e-3x and the x-axis.

A.
B. 1
C. 3
D.  e


Answer: A

Mathematics

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Use a table of values to graph the plane curve defined by the following parametric equations. Find a rectangular equation for the curve.x = 2t - 1, y = t2 + 4, for t in [-4, 4] 

A.

y = x2 + 1, for x in [-2, 2]
B.

y = - x + 30, for x in [-6, 4]
C.

y = x2 + 1, for x in [-6, 4]
D.


y = x2 + x + , for x in [-9, 7]

Mathematics

Determine if the graph of the function is concave up or concave down.f(x) = -3x2 - 3x - 9

A. Concave up B. Concave down

Mathematics

Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real numbers.

A.
B.
C. 6y(y + 3)  
D.

Mathematics

Use the given graph of f(x) = ax2 + bx + c to solve the specified inequality.f(x) < 0

A. x < -4 B. x < -4 or x > 2 C. -4 < x < 2 D. No solutions

Mathematics