Verify the identity. = 

What will be an ideal response?


 =  =  = csc x - 1 =  -  = .

Mathematics

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Evaluate the integral by first performing long division on the integrand and then writing the proper fraction as a sum of partial fractions.

A.   + 16x + 32 ln   - 32 ln   + C
B.   + 8 ln   - 8 ln   + C
C.   + 16x + 32 ln   - 32 ln   + C
D.   + 16x - 32 ln   + 32 ln   + C

Mathematics

Shade the solution set in the xy-plane. +  ? 1 +  ? 1

A.

B.

C.

D.

Mathematics

Find the exact value of the trigonometric expression without the use of a calculator.sin

A.
B. 0
C. 1
D.

Mathematics

Let P(x) = 5x 3 - 2x 2 + 2x - 4. Evaluate P(x) by substituting the given value of x into the polynomial and simplifying. Then evaluate the polynomial by using the remainder theorem and synthetic division.P(-4) 

A. P(-4) = –354 B. P(-4) = –364 C. P(-4) = –369 D. P(-4) = –394

Mathematics