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1) ∫C (e2y -2xy)dx + (2xe2y - x2 +1)dy, C:r(t) = <tet, 1+t>, t = 0 to t=1
2) ∫C F.dr, where F(x, y) = (2x -e-y)i + (4y + xe-y)j, and C:y = x4, y = 0 to X =2
3) ∫C X2 Ydx - xy2dy where C is the boundary of the region in the first quadrant
4) A particle, starting at (5, 0), transverses the upper seicrcle x2 + y2 = 25 and returns to its position along the x- axis. Find the work done on the particle by a force
F(x,y) = xyi + (x2 + 2xy)/2j
1. Calculate the sample size needed given these factors:
Use 4th order Runge-Kutta Method with step size h =0.2 and h =0.1 to find y(2) and sketch all the solutions on the interval [1, 2] with appropriate legend for comparison.
How could you verify this? Create a null and alternate hypothesis for one of these issues.
Elasticity of demand is closely related to the slope of the demand curve. The more responsive buyers are to a change in price, the
Identify the left-hand and right-hand behavior of the graph of the polynomial function f(x) = 6x3- 5x + 4. Find a polynomial function that has zeros at -3, -1, and -2. Do not leave it in factored form, but multiply out your answer.
Find the inverse transform and find the Laplace transform - Express the following function in terms of unit step functions
Suppose f: X → X is a continuous bijection. Prove or disprove: f is a homeomorphism. Show that R2\ {0} is homeomorphic to R × S1
Part 2: In this part we will again be multiplying two functions and calculating the Fourier Transform of the product. The first function is y1(t) = cos(20πt).
Interpret the null hypothesis using your t-statistic. Interpret the null hypothesis using p-value. Interpret your confidence interval and test the null hypothesis using confidence interval.
You can elect to carry any portion of each cargo, and cargoes can be mixed together in the various holds. How many tons of each cargo should you carry to maximize the total revenue for the voyage?
A bank has received a request from its client for a forward quote on USD/AUD, the current spot rate is 1.1647. Assuming the 3 month USA benchmark rate is 0.24% and in Australia is 2.0%, calculate the forward swap point.
Measure the quantities of the following items in the following drawing: Do not round the numbers in the middle of calculation. Write two decimal places to show the numbers used in your calculations procedures.
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