Establish the identity.tan5 x = tan x (sec4 x - 2 sec2 x + 1)

What will be an ideal response?


tan5 x = tan x (sec2 x - 1)2= tan x (sec4 x - 2 sec2 x + 1).

Mathematics

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Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at x = -6 and x = 6. The cross sections perpendicular to the x-axis between these planes are squares whose diagonals run from the semicircle y = -  to the semicircle y = .

A.
B.
C. 1152
D. 576

Mathematics

Find the absolute extreme values of the function on the interval.h(x) = x + 1, -2 ? x ? 4

A. absolute maximum is 1 at x = -4; absolute minimum is -4 at x = 2 B. absolute maximum is 1 at x = 4; absolute minimum is 0 at x = -2 C. absolute maximum is 1 at x = -2; absolute minimum is 0 at x = 4 D. absolute maximum is 3 at x = 4; absolute minimum is 0 at x = -2

Mathematics

Use the Consumer Price Index below to answer the question.Between 1990 and 2000, a college raised its annual tuition fees from $4490 to $6650. Find the relative change in the fees over that period and compare it to the overall rate of inflation as measured by the CPI. Were the tuition increases in line with inflation? If necessary, round values to the nearest tenth.

What will be an ideal response?

Mathematics

Solve the problem.Four members are running for president of the Greater New Orleans Stamp Club: Andy (a),  Carol (c), and Denise (d). The voter profile is summarized in the table. Use the Borda Method to determine the winner.

A. Carol B. Denise C. Brett D. Andy

Mathematics