The rate of change of a sinusoidal function is periodic in nature. O True O False Next Page Page 1 of 24. I I Find the equation of the tangent to y = xsm 2X at the point [z . z]. Find the slope of the tangent to the curve y = sin 3X at x = g . Sinusoidal functions do not have any points of inflection. O True O False The constant multiple, sum, and difference differentiation rules do not apply to sinusoidal functions. C True O False Find the slope of the tangent to y = sin[3xn + 5] at the point where x = l. '3' 0.542 (:3. 40.3?3 (:3. 0.3?8 {I} 0.613 Question 18 (4 points) Listen The voltage, V (t), in volts, of a power supply can be modelled by the function, V (t) = 110 sin 5t + 15, where t is the time, in seconds. Find the maximum and minimum voltages, within the first second, and the times they occur. Be sure to prove that you have found the max and min to receive full marks.The position. 3," of the midpoint of a guitar string can be modelled by the function y = D. 05 C05 (8801113) where yis the distance in centimetres. and t is the time' in seconds. Find the formulas for the velocity and the acceleration of the string. 2 Find the equation of the tangent to the curve y 2 C05 1: 51112 I: at the point _1 524. Find the slope of the tangent to the curve y = 2 sin3x at x = %. r N I I \_J 3 2 L) _ 3 2 L J5 1