Solve the problem.A right triangle has one vertex on the graph of y = x2 at (x, y), another at the origin, and the third on the (positive) y-axis at (0, y). Express the area A of the triangle as a function of x.
What will be an ideal response?
A(x) = 
x3
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Solve the problem.A child on a swing initially swings through an arc length of 12 meters. The child stops pushing and sits patiently waiting for the swing to stop moving. If friction slows the swing so the length of each arc is 80% of the length of the previous arc, how far will the child have traveled before the swing stops?
A. 24 m B. 25 m C. 60 m D. The child will travel an infinite distance.
Evaluate the line integral along the curve C.
ds, C is the curve r(t) = (-4 - t)i + 2tj - 2tk , 0 ? t ? 1
A. 18 B. - 6 C. - 2 D. 6
Provide an appropriate response. A suburb city presently has a population of 250,000 people. In 25 years, what would its estimated population be if P = Poe0.02t?
A. 1,648,721 B. 824,361 C. 412,180 D. 3,297,443
Find the difference and simplify the answer. 
- 
A. 
B. 
C. 1
D. 11