232 TEST 1You may use your notebook during the last fifteen minutes of this exam.You may NOT use calculators, cell phones, loose papers, or peeking.Math 232September 23, 2011 Name:By printing my name I pledge to uphold the honor code.1. True or false?T F Every point (x, y) on the unit circle satisfies x2+ y2= 1.T F All exponential growth fu nctions have a constant tripling time.T F If Q(t) is an exponential function with yearly percentage growth rate r,then Q′(t) = rQ(t).T F The sine of a sum of angles is equal to the sum of the sines of the angles.T F If the terminal edge of an angle θ is in the third quadrant, then the valuesof all six trigonometric fun ctions of θ are negative.T F Every exponential function has a horizontal asymptote at y = 0.2. Determine whether each of the following values is zero, positive, negative, or un defined.(Hint: E ach answer is used one time.)ln(1e2) (zero) (positive) (negative) (undefined)log121 (zero) (positive) (negative) (undefined)sec7π8(zero) (positive) (negative) (undefined)sin (−14π5) (zero) (positive) (negative) (undefined)3. Circle the correct answer for each limit. (Hint: Each answer is used exactly once.)limx→π2sin(2 cos x)cos x0 1 2 e ∞ −∞limx→π2(tan x − sec x) 0 1 2 e ∞ −∞limx→0+exln x 0 1 2 e ∞ −∞limx→∞2x+ 1e−x0 1 2 e ∞ −∞limx→0+(1 + 2x)12x0 1 2 e ∞ −∞limx→2+√x − 2sin√x − 20 1 2 e ∞ −∞4. Calculate the derivatives of the functions below.a) f (x) = 2 e3cos x csc xb) f (x) = tan2(x3)c) f(x) = (sin x)xsCRAP (I will not be grading anything on the scrap page but you must hand it in with your name on it)stressed out?take a break to color infinity: ∞ ∞ ∞ ∞ ∞ ∞ ∞ ∞ ∞ ∞ ∞ ∞ ∞ ∞ ∞ ∞