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

What will be an ideal response?


sin (? + ?) - sin (? - ?) = sin ? cos ? + cos ? sin ? - sin ? cos ? + cos ? sin ? = 2 cos ? sin ?.

Mathematics

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Evaluate the integral. cosh (x4 + 10) dx

A.  x4 sinh (x4 + 10) + C
B. -  coth (x4 + 10) + C
C.  sinh (x4 + 10) + C
D. - sinh (x4 + 10) + C

Mathematics

Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series.

A.  < 7.81 × 10-3
B.  < 1.49 × 10-2
C.  < 8.59 × 10-2
D.  < 5.73 × 10-3

Mathematics

Determine whether the statement is true or false. If it is true, give two examples to illustrate it. If it is false, give a single counterexample.If you make the sides of a square 6 times longer, the area of the square is 36 times larger.

What will be an ideal response?

Mathematics

Solve the problem. Round to the nearest cent.A company decided to pay no dividends for two years. After the third year, the directors declared a $3,800,000 dividend. Find the dividend per share if the company had 30,000 cumulative preferred shares of $100 par value at 10% outstanding, and 206,000 common shares.

A. Preferred: $30.00 Common: $14.08 B. Preferred: $20.00 Common: $15.53 C. Preferred: $10.00 Common: $16.99 D. Preferred: $38.00 Common: $12.91

Mathematics