Use the arc length formula and the given information to find r. s = 12 cm, θ = 36°; r = ? (5 points)  

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)