Question Solved1 Answer Curve Sketching of the function f(x) = x* + 4x – 7x2 – 34x – 24 Write down solutions and answers in space provided. 1)lntercepts 2.)lntervals of Increase / Decrease (table): 3)Local MAX / MIN: 4)Concavity (table): 5)Points of Inflection: 6)Sketch the Curve (x/y-axis, scale, max/min, inflection points, curve)

1 point) Determine the truth value of the following statements if the universe of discourse of each variable is the set of real numbers. Enter your answer as T or F. 2.3x(x2 =-1) xty 6, Vray (x + y=1) 7.3x x2 2) 11·3x3x ((x + 2y = 2) ^ (2x + 4y = 5))

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.