Solve the equation by completing the square.
A. ,
B. ,
C. ,
D. ,
E. ,
Answer: D
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Find all solutions to the equation.5 csc x - 2 = 3
A. x = + 2n?, for integers n
B. x = ? + n?, for integers n
C. x = , for integers n
D. x = 2? + 2n?, for integers n
Evaluate the given binomial coefficient.
A. 21 B. 10 C. 2520 D. 3
Write the augmented matrix for the system of equations.
A.
B.
C.
D.
Solve the problem.A steel can in the shape of a right circular cylinder must be designed to hold 650 cubic centimeters of juice (see figure). It can be shown that the total surface area of the can (including the ends) is given by S(r) = 2?r2 + , where r is the radius of the can in centimeters. Using the TABLE feature of a graphing utility, find the radius that minimizes the surface area (and thus the cost) of the can. Round to the nearest tenth of a centimeter.
A. 3.9 cm B. 4.7 cm C. 0 cm D. 5.9 cm