Question Solved1 Answer 2. State the period, amplitude, and the equation of the trigonometric function that produces each of the following table values. Then use this transformation to write the equation of the function. [A/8] a) 0 2 37 3 2 2T y 0 18 0 -18 0 b) х 0 27 37 у 2 4 2 -8 -2 3. The following graph is a sine curve. Determine the equation of the graph. Give amplitude, period and vertical shift also. [T/4] 2- -27 277 -2

5. Consider the geometry shown in the figure below. A ping pong ball rest at the bottom of a funnel as shown in figure (a). Air that has a stagnation pressure that is the atmospheric pressure is blown through the bottom of the funnel. Initially, the funnel mouth (wider opening) is higher than the smaller diameter tube. The funnel is rotated so that the mouth is lower than the tube through which the air is blown (see figure b). Which of the following will occur? 1 (a) (b) A. The ping pong ball will get blown away from the funnel B. The ping pong ball will get drawn towards the funnel c. The ping pong ball will move up and down within the funnel.

4.3 The following data are the response times in seconds for n = 25 Grade 1 students to arrange three objects by size: 5.2 3.8 5.7 3.9 3.7 4.2 4.1 4.7 4.3 3.1 2.5 3.0 4.4 4.8 3.6 3.9 4.8 5.3 4.2 4.7 3.3 4.2 3.8 5.4 a. Find the mean and the standard deviation for these 25 response times. Given that { x = 454.810 (4 marks) b. Order the data from smallest to largest. (2 marks) c. Find the Z-scores for the smallest and largest response times. Is there any reason to believe that these times are unusually large or small? Explain. (4 marks)

(a) According to Eq. 8 and 9, compute the gradient of g(W) withrespect to W. Your result should be in the form of X, Y, and W. TE 9(W) = {(x?W – y.) (7) = ||XW - Y113 = (XW-Y)'(XW-Y) (8) (9)

An electric motor rotating a workshop grinding wheel at a rate of 203 rev/min is switched off. Assume constant angular decel- eration of magnitude 2.02 rad/s². Through how many revolutions does the wheel turn before it finally comes to rest? Answer in units of rev. 1. 5.00675 28.82961 3. 14.2052 4. 11.3377 5. 10.6677 6. 17.8028 7. 6.52588 8. 13.4902 9. An electric motor rotating a workshop grinding wheel at a rate of 203 rev/min is switched off. Assume constant angular decel- eration of magnitude 2.02 rad/s². Through how many revolutions does the wheel turn before it finally comes to rest? Answer in units of rev. 1. 5.00675 28.82961 3. 14.2052 4. 11.3377 5. 10.6677 6. 17.8028 7. 6.52588 8. 13.4902 9. 14.7782 10. 16.7567

d²y 2 dx y = - 8x⁹ +1 Find d²y dx || Find dx d²y 2 dx². 8x³ y=- -7x 3 d²v 2 dt² v=3t²2² +6t+ 14 Find d²v 0- 2 dt² 11 Find d²y d²y dx 2° dx y = 4x +9 11 Find dy 2 dx y= d²y 2 dx² || 1 8 d²y 2 dx y=√x Find d²y dx || Find f''(x). f(x) = 5x²-13x- f''(x) = 4 3 X Find f''(x). f(x)=x¹/7 f''(x) = Find f''(x). -2 f(x) = 7x-² f''(x) = Find f''(x). f(x) = (x² d²y 2 dx y = - 8x⁹ +1 Find d²y dx || Find dx d²y 2 dx². 8x³ y=- -7x 3 d²v 2 dt² v=3t²2² +6t+ 14 Find d²v 0- 2 dt² 11 Find d²y d²y dx 2° dx y = 4x +9 11 Find dy 2 dx y= d²y 2 dx² || 1 8 d²y 2 dx y=√x Find d²y dx || Find f''(x). f(x) = 5x²-13x- f''(x) = 4 3 X Find f''(x). f(x)=x¹/7 f''(x) = Find f''(x). -2 f(x) = 7x-² f''(x) = Find f''(x). f(x) = (x² + 5)² f''(x) = For the function y = 9x5, find d^y 4 dx 11 day 4 dx

Standing on the roof of a 96-m tall building, a girl holds her hand past the edge and throws a ball straight up at 9.2 m/s. The ball rises, then falls and strikes the ground. Considering "up" to be the positive direction, find the ball's velocity v when it is 43 m above the ground. Remember to include a "-" sign if the velocity is negative. V= m/s Record Standing on the roof of a 96-m tall building, a girl holds her hand past the edge and throws a ball straight up at 9.2 m/s. The ball rises, then falls and strikes the ground. Considering "up" to be the positive direction, find the ball's velocity v when it is 43 m above the ground. Remember to include a "-" sign if the velocity is negative. V= m/s Record your numerical answer below, assuming three significant figures.