Question Solved1 Answer Find the present worth of perpetuity of P1,000 payable every month if money is worth 10% compounded monthly and the first payment starts at the end of the 6th month.

Determine if the equation is a linear equation in the variables x, y, and z. If the equation is not linear, explain why not. x^-1 + 2 y + z = sin(pi/7) The equation is a linear equation. The equation is not a linear equation since at least one of x, y, or z has a power other than 1. The equation is not a linear equation since it contains a trigonometric function. The equation is not a linear equation since it contains a product of two variables. The equation is not a linear equation since at least one of x, y, or z has a coefficient other than Determine if the equation is a linear equation in the variables x, y, and z. If the equation is not linear, explain why not. (cos 8)x - 7y + z = Squareroot 5 The equation is a linear equation. The equation is not a linear equation since it contains a product of two variables. The equation is not a linear equation since at least one of x, y, or z has a power other than 1. The equation is not a linear equation since it contains a trigonometric function. The equation is not a linear equation since at least one of x, y, or z has a coefficient other than 1.

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.