Provide an appropriate response.What form do planes perpendicular to the z-axis have in spherical coordinates?

A. ? = a csc ?
B. ? = a cos ?
C. ? = a sin ?
D. ? = a sec ?


Answer: D

Mathematics

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Solve the problem.In how many ways could a group of fourteen people be divided into four groups containing respectively two, three, four, and five people?

A. 66,380,562,248 B. 2,522,520 C. 12,612,600 D. 87,178,291,200

Mathematics

Graph the function. Show at least one period.y = 4 sin(-2x - ?)

A.

B.

C.

D.

Mathematics

Solve the problem.The table shows the number of dollars spent in Country X (in millions) on environmental protection programs during the years  through . Find the cubic model that is the best fit for this data. Round coefficients to three decimal places. 

A. f(x) = -0.010x2 + 0.346x + 5.253 B. f(x) = 0.007x3 - 0.105x2 + 0.805x + 4.397 C. f(x) = 0.005x3 - 0.102x2 + 0.805x + 4.697 D. f(x) = -0.010x2 + 0.446x + 5.759

Mathematics

Differentiate the power series for  at  to obtain a series representation for the function .

What will be an ideal response?

Mathematics