Verify the identity.sin (x + y) - sin (x - y) = 2 cos x sin y

What will be an ideal response?


sin (x + y) - sin (x - y) = sin x cos y + cos x sin y - sin x cos y + cos x sin y = 2 cos x sin y.

Mathematics

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Set up an integral for the length of the curve.y = x6, 0 ? x ? 1

A.
B.
C.
D.

Mathematics

Differentiate the function.r(t) = (8t2 + 15)i + j

A. r'(t) = (16)i + j
B. r'(t) = (16t)i + j
C. r'(t) = (16t)i - j
D. r'(t) i + (16t)j

Mathematics

The transformation that takes a point (a, b) to the point (a,b) is:

(a) A reflection about the line y  x. (b) A translation through the vector (1,1). (c) A similitude with scale factor 3. (d) A rotation of 90.

Mathematics

Solve the system of equations corresponding to the given matrix equation. = 

A. {(8, 4)} B. {(8, 16)} C. {(0, 0)} D. {(4, 8)}

Mathematics