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spencer vicens

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A car is initially at rest at a position xcar = 0 m and begins moving with an acceleration that varies with time, given by a(t) = 3+0.5t m/s2 . Simultaneously, a truck passes the car moving at a constant speed of vtruck = 20 m/s, starting at xtruck = 50 m. (a) Write the equation for the velocity of the car as a function of time t, starting from rest, by integrating the time-dependent acceleration a(t) = 3 + 0.5t: vcar(t) = Z (3 + 0.5t) dt (b) Derive the equation for the position of the car as a function of time t by integrating the velocity vcar(t) from part (a). (c) Set up the equation to find the time tcatch at which the car catches up to the truck, so that: xcar(tcatch) = xtruck(tcatch) where xtruck(t) = 50 + vtruckt. Solve for tcatch. (d) Using tcatch, calculate the car’s velocity at the moment it catches up to the truck.

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At a required return of 20 percent, should the firm accept this project? Accept Reject At what discount rate would you be indifferent between accepting the project and rejecting it? note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal p Discount rate 0.08 %

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Explain how biological organizations can improve the functional efficiency within an organism like a prickly roses mushrooms and bald eagles

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Benjamin invested the following amounts in a unit trust fund at the beginning of every year for a period of 6 years. Take note that in Year 3 he withdrew an amount from the fund rather than make an investment. At the end of the sixth year he cashed the investment in and received an amount of R65 432. Calculate the internal rate of return (IRR) that he earned on his investment. Year 1 R10 000 2 R5 200 3 (R8 300) 4 R14 800 5 R16 900 6 R2 000 a. 12.82% *b. 14.63% c. 13.26% d. 14.34% e. None of the above

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123. Explain the concept of Very Long Instruction Word (VLIW) architecture in microprocessors.

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A sample of Cu has 56.7 grams. A sample of O contains the same amount of moles. How many grams of O is there?

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Let X be the number of successes in 6 independent trials of a binomial experiment. The probability of success is 80%. What is the probability that between two and 4 trials (inclusive) are successful?

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Please help MATLAB CODE, TWO PICTURES ARE REQUIRED AT DIFFERENT p VALUE. THANKS FOR SHARING SCREEN For the given vector field vec(B)=5re^(-((r)/(4))^(2))hat(phi )+3zhat(z), find curl(vec(B)) analytically and using MATLAB*. Plot the vector field vec(B) and the contours of the constant values of the curl in the xy plane (2D plot) in the same figure. Use two interval values: -0.8<=x,y<=0.8 and -10<=x,y<=10 with 0.1 step in each axis to produce two plots. Compare the value of the curl at points P_(1)=(x_(1),y_(1))=(0.6,0.6) and P_(2)=(x_(2),y_(2))=(5,7). Create a comparison table. Explain the discrepancy. Curl code % Define the grid step = 0.1 min = -4.7; max = 4.7; [x, y] = meshgrid(min:step:max, min:step:max); % Coordinate transformation r = sqrt(x.^2 + y.^2); % Define vector components in the Cartesian c.s. Bx = ADD AN EXPRESSION TO COMPLETE THIS CODE By = â—» % Calculate curl of B curlz, cav Please edit the MATLAB code below to solve this question and send me screenshots of your plots Curl code Define the grid step = 0.1; min = -4.7; max = 4.7; [x, y] = meshgrid(min:step:max, min:step:max); % Coordinate transformation r = sqrt(x.^2 + y.^2); % Define vector components in the Cartesian c.s. Bx BY ADD AN EXPRESSION TO COMPLETE THIS CODE % Calculate curl of B [curlz, cav] -curlx, Y, Bx, By; % Create a figure quiverx, Y, Bx, By grid on; axis square; hold on contour(x, Y, curlz, 30) xlabel 'x'; ylabel 'y' xlim [min max]; ylim [min max]; set(gca, 'Fontsize', 18) Test point probe_ind = [68, 78]; probex = x(probe_ind(1), probe_ind(2)); probe_y = y(probe_ind(1), probe_ind(2)); probe_r = sqrt(probe_x^2 + probe_y^2); Curl value at the test point calculated in MATLAB matlab_curl = curlz(probe_ind(1), probe_ind(2)); calcul_curl = Curl expression calculated manually ADD AN EXPRESSION TO COMPLETE THIS CODE % Print answers fprintf 'x - %.10f y - %.10f ', probe_x, probe_y fprintf 'curl calculated analytically - %.10f ', calcul_curl; fprintf 'curl calculated by MATLAB - %.10f ', matlab_curl);

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QUESTION 4. This question addresses Learning Outcome 1: Prepare plans for businesses and business operations, making use of appropriate accounting data. You have recently started working as a temp in the finance department of South Downs Ltd. You have been given the cash budget for the next four months which was prepared by your predecessor. Cash in Sales Proceeds from sale of equipment Cash out Payments to suppliers Production wages Production overheads Sales department costs Administration costs Capital expenditure Net cash in Opening cash balance Closing cash balance Month 1 £ Month 2 £ Month 3 Month 4 £ £ 647,000 576,000 1,045,000 1,250,000 75,000 (400,000) (200,000) (20,000) (200,000) (200,000) (200,000) (270,000) (330,000) (330,000) (20,000) (20,000) (20,000) (39,000) (43,000) (49,000) (49,000) (20,000) (20,000) (20,000) (20,000) (325,000) (32,000) (302,000) 501,000 631,000 50,000 18,000 (284,000) 217,000 18,000 (284,000) 217,000 848,000 South Downs Ltd does not currently have an overdraft facility. Required: a) Write a short commentary on the cashflow identifying any problems which you think should be brought to management's attention. (3 marks) b) Make three suggestions which would improve the cash position. (3 marks) c) What is budgeting for? Include reference to at least three different budgeting techniques in your explanation and outline both advantages and disadvantages of each. Support your answer with academic research. 5

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1. (20) Find and classify the stationary points of the following function [Specify the 1st and 2nd order conditions.] $f(x) = \frac{5x^2 - 3x + 2}{2x}$

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