<p>MAT 210 Quiz 4 Name ______</p><p>Class Time ______Place ANSWERS ONLY in the boxes.</p><p>Find the derivative of each of the following functions. SIMPLIFY YOUR ANSWERS completely.</p><p>1) f (x)  (3x  5)(6x 1) f (x) = </p><p>2x  3 2) f (x)  f (x) = 3x  4</p><p>3) f (x)  4x  710 f (x) = </p><p>3x 1 4) f (x)  3 f (x) = 3x 1</p><p>5) f (x)  2x 3x 2  5 f (x) = </p><p>4x3  3x  6 6) f (x)  f (x) = x</p><p> x 4 7) f (x)  f (x) = x 2  4 Use the following equation for the rest of the problems. Label your answers with the correct distance, rate of change, or such. (for example, 12 ft/sec)</p><p>The height in feet above sea level of an object after t seconds is given by the function</p><p>H(t) = –4t2 + 50t + 200</p><p>8) Find the initial height of the object.</p><p>9) Find the height after 10 seconds.</p><p>10) Find the velocity function.</p><p>V(t) = </p><p>11) Find the velocity after 10 seconds.</p><p>12) Find the SPEED after 10 seconds.</p><p>13) In this problem, if the velocity is negative, what does that mean? A) The object is speeding up B) The object is slowing down C) The object is rising D) The object is falling E) The object blew up 14) Find the acceleration function.</p><p>A(t) = </p><p>15) Find the acceleration after 10 seconds.</p><p>16) In this problem, if the velocity and the acceleration have different signs, what does that mean?</p><p>A) The object is speeding up B) The object is slowing down C) The object is rising D) The object is falling E) The object is from the planet Pluto</p>