12. (2 points) The height, h, at any time t, of an object that is thrown straight upward from the ground, is given by h(t) =-16t? + 48t. Determine the maximum height of the object. 13. (2 points) Use Laws of Logarithms to expand the logarithm so that there are no logarithms of products, quotients, or exponents In x+3 14. (3 points) Evaluate each (if it is defined) by determining a reference angle, and the quadrant in which each arc of the unit circle is located. If the value is undefined, so state. a. sin 4 b. tan 2 C. cos(37) 15. (2 points) Sketch one period of the function y = 3sin 2x . 16. (2 points) Solve for all values of 0 in [0, 27): 4cos 30+2V/3 =0 17. (2 points) Given that cos 0 = 1 3' 18. (2 points) Let f (x) = Vx2 -25 , and sin 0 > 0, find the value of csc 0 trigonometric function. x and g(t) =5sect . Evaluate (fog)(t)and write it as a single