If the instructions for a problem ask you to use the smallest possible domain to completely graph two periods of y = 5 + 3 cos 2(x – ), what should be used for Xmin and Xmax? Explain your answer. (5 points)

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. (5 points)4, -8, and 2 + 3i 

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)

Write a linear factorization of the function. (5 points)f(x) = x4 + 49×2 

If φVc = 50 kip and Vu = 58 kip, are stirrups required?

Your brand becomes less authentic when you focus on serving one audience exceptionally well.

Use basic identities to simplify the expression. sin2θ + tan2θ + cos2θ (6 points)

Verify the identity.tan = -cot x (7 points) 

Find all solutions in the interval [0, 2π). tan x + sec x = 1 (5 points)

Find the inverse of the function. f(x) = x3 – 7 (5 points)