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1. Let D be the region lying between the hyperbolas xy = 1, xy = 2 and the lines y = x,y = 4x. Evaluate the integral Double integral D yxdA.Key words: double integral, changing variables, Jacobian.
2. Let C be the portion of the ellipse x^2/4 +y^2/9 = 1 lying the second quadrant. Evaluate the integral C xyds.Key words: a path integral, parametrization of a curve
There are three types of bread, three types of meat, three types of cheese and four types of topping. How many different sandwiches can the restaurant make?
Kaya has two 750ml cans of juice. She wants to put the juice in a 1.5L pitcher. Will the pitcher hold all of the juice? Explain your answer.
Calculate the percentage of students who score less than 700
A boat traveled 285.6 miles downstream and back. The trip downstream took 10.2 hours. The trip back took 34 hours. What is the speed of the boat in still water? What is the speed of the current?
what is the relationship between an exponential function such as y 2x and a logarithmic function such as the logarithm
Letfbe a function such thatf(-4) =4,f(0) =-3,andf(3) =0.Give the coordinates of three points on the graphs of each of the following. (a)y=f(x+1)
John has 15 more chocolate bars than Rick. Cathy has 9 times as many chocolate bars as John. If Rick has r chocolate bars, which equation below represents how many chocolate bars Cathy has, c?
Find all of number for which the rational expression: (x+4) / (x^2 - 3x -10), is not defined. Explain your answer and add explanatory text for each line of algebra. What role does the numerator play and why?
Determine the coefficient of determination. Interpret its value.
Solve the following linearprogramming model graphically. In addition, write the problem in standard formand do a constraint analysis for the optimal solution.
Define a vector field as and define the path C as the path graphed below lying in the x-y plane starting at x point (x,y,z) = (-2,0,0) and ending a (4,2,0).
A company installs 5,000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, and distribution approximated by a normal curve
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