Solve the problem.Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of radius 3.

A. h = 3, w = 
B. h = , w = 3
C. h = , w = 3
D. h = 3, w = ,


Answer: C

Mathematics

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For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value r(t) = (5 tan t)i - (9 sin t)j + (8 cos2 t)k ; t0 = 

A. x = 10 + 5t, y = - - t, z= -8 + 4t
B. x = 5 + 10t, y = - - t, z = 8 - 8t
C. x = 5 + 10t, y = - + t, z = 4 + 8t
D. x = 5 + 10t, y = - - t, z = 4 - 8t

Mathematics

Find the present value of the annuity. Round to the nearest cent.Payments of $61 made quarterly for 5 years at 8% compounded quarterly

A. $997.44 B. $956.39 C. $243.56 D. $494.76

Mathematics

If possible, evaluate the expression by hand. If not, approximate the answer to the nearest hundredth.729-1/3

A. 9
B.
C.
D. -9

Mathematics

Find the arc length. Leave your answer in terms of pi.An arc with central angle 184° and radius 8 m

A. 16.36? m B. 1.02? m C. 0.04? m D. 8.18? m

Mathematics