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Tallahassee. He grew up in Tallahassee so his name means Tallahassee Pain from the hardships of growing up as a Muslim.

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Brandy Sipes

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2y ago

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What is the value of 7 p 3 y 6 x 5 if x stands for add y stands for subtract z stands for divide and p stands for multiply?

It is 20 because (7x3)-6 +5 =20 7x3=21 21-6=15 15+5=20.


What expression is equivalent to cot t sec t?

Which expression is equivalent to cot t sec t


Integration of tangent cubed of x?

Find I = ∫ tan³ x dx. The solution is: I = ½ tan² x - log cos x. * * * Here is how we can obtain this result: First, let t = tan x, s = sin x, and c = cos x; then, dI = t³ dx, ds = c dx, dc = -s dx, and dt = (1 + t²) dx; and, of course, t = s / c. By algebra, t³ = t(t² + 1) - t; thus, we have dI = t³ dx = t(t² + 1) dx - t dx = t dt - t dx. Now, d (t²) = 2t dt; thus, t dt = ½ d(t²). On the other hand, we have d log c = dc / c = -s dx / c = -t dx; thus, t dx = -d log c. Combining these results, we have dI = t dt - t dx = ½ d(t²) - d log c. This integrates readily, giving I = ½ t² - log c, which is the solution we sought. * * * We may check our result, by differentiating back: dt / dx = 1 + t²; and d(t²) / dt = 2t; thus, (d/dx)(t²) = 2t dt / dx = 2t (1 + t²). Also, we have d log c / dc = 1 / c; and dc / dx = -s; whence, (d/dx)(log c) = (dc / dx) / c = -s / c = -t. Then, dI / dx = ½ (d/dx)(t²) - (d/dx)(log c) = t (1 + t²) - t = t + t³ - t = t³, re-assuring us that we have integrated correctly.


What is derivative of cot t dt?

d/dt cot (t) dt = - cosec2(t)


What is GCD?

GCD stands for "greatest common divisor".