This question is designed to be answered without a calculator. Let f(x) = 1 4x3. What is MW? 12x2 -'I2X2 12x2+12x -12X2 - 12X This question is designed to be answered with a calculator. Let f(x) = (1 X2)2/3. Which type of non-differentiable point exists at X = 1? cusp corner discontinuity vertical tangent This question is designed to be answered with a calculator. Use the four functions shown. I. fix] =e4" II. fix]=|4x| |||. nx1=il4x IV. fix] = [4 \"213 Which function is differentiable for all values of x over the interval (5, 5)? | II III IV This question is designed to be answered without a calculator. A particle travels along the x-axis so that its position, in centimeters, after t seconds is given by the function x(t) = -413 - 8t2 + 16t - 64. What is the acceleration of the particle at time t = 1 sec? O -52 cm/sec2 O -40 cm/sec2 O -24 cm/sec2 O -12 cm/sec2This question is designed to be answered without a calculator. An object travels along the x-axis so that its position after 2' seconds is given by X0!) = 2t2 5t 18 for all times t such that t 2 0. Which inequality describes all times tfor which the object is traveling toward the right? Ost1_25 t>4.5 This question is designed to be answered without a calculator. "1'00 = 5(X2 -1),then lime"): :92] = 10. 20. This question is designed to be answered without a calculator. dy If y= 1 -2x , then = 2x2 dx O 1 - 4X. 3 X 4 - 4X. 3 X O 1 - 4x3. X 0 - 4-4x3.This question is designed to be answered without a calculator. A ball is thrown upward into the air so that its height, h, in feet, after 1' seconds is modeled by the function h(t) = 16t2. What is the velocity, in feet per second, of the ball after 2 seconds? 32 lsec 8 ft/sec 24 ft/sec 48 ft/sec