Solve the problem.Evaluate  at t = 3? for the function w(x, y) = x2 - y2 - 9x; x = cost, y = sin t.

A. -13
B. -11
C. 0
D. -7


Answer: C

Mathematics

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Use graphical methods to find values of x and y satisfying the given conditions. Find the value of the maximum or minimum.Find x ? 0 and y ? 0 such that2x + 4y ? 12 2x + y ? 8 and z = 6x + 8y is minimized.

A. Minimum of 36 when x = 6 and y = 0
B. Minimum of 0 when x = 0 and y = 0
C. Minimum of  when x =  and y =  
D. Minimum of 26 when x = 3 and y = 1

Mathematics

Rewrite the number or expression as requested.3,836,000,000 (Rewrite in scientific notation.)

A. 383.6 ? 107 B. 3.836 ? 106 C. 3836 ? 10-6 D. 3.836 ? 109

Mathematics

Factor out the greatest common factor.t(4 - m) + s(4 - m)

A. (t - s)(4 - m) B. (t + s)(4 - m) C. No common factor (except 1) D. t(4 - m) + s

Mathematics

Solve the problem.Mark and Rachel both work for Smith Landscaping Company. Mark can finish a planting job in 2 hours, while it takes Rachel 4 hours to finish the same job. If Mark and Rachel will work together on the job, and the cost of labor is $35 per hour, what should the labor estimate be? (Round to the nearest cent, if necessary.)

A. $26.25 B. $93.33 C. $105.00 D. $46.67

Mathematics