Verify the identity. cos 4u = cos22u – sin22u (7 points)  

Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial. x – 2; 4×2 – 3x + 22 (5 points)

Use synthetic division to determine whether the number k is an upper or lower bound (as specified for the real zeros of the function f). k = 2; f(x) = 2×3 + 4×2 + 2x – 4; Lower bound? (5 points)

Find the exact value of the real number y. y = arcsec (-1) (5 points)

Find the zeros of the function. f(x) = 9×3 + 36×2 + 27x (5 points)

Write the quadratic function in vertex form. (5 points) y = x2 + 18x + 71  

Find the zeros of the function. (5 points)f(x) = 4×3 – 12×2 – 40x 

Find the exact value of the composition. sin (arctan (2)) (5 points)

From a boat on the lake, the angle of elevation to the top of a cliff is 15°54′. If the base of the cliff is 967 feet from the boat, how high is the cliff (to the nearest foot)? (5 points)

State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote. (5 points)f(x) =