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Parametrization for a line integral. Not sure if I'm parametrizing the curve correctly since it's in 3 space-- can I simplify it down to 2nd and parametrize the circle and parabola in the xy plane?
Let F(x,y,z))= 3yx2i + x3j + 3xyk be a vector field in R3 and C be the curve of intersection of the surface z = 2x+y2 and the cylinder x2 +y2 = 4, oriented counterclockwise as viewed from above.
(a) Obtain a parametrization of the curve C and use your result to evaluate surface∫c F · dr.
(b) Use Stokes' theorem to evaluate surface∫c F · dr.
Use Lagrange multipliers to find the maximum and minimum values of the function f(x,y,z) = 2x + 2y+ z subject to x2 + y2 +z2 = 9.
U.S. Population The population of the United States by race in 2000 and the projected population by race for the year 2025 are given below (in thousands).
What should the dimentions be for maximum area.
Compute students at UNR score higher than students at TMCC.
1. let x represent the number of units produced and sold and let p represent the total profit. with aprofit of 100 per
the time it takes for a planet to complete its orbit around a particular star is called the planets sidereal year.the
If this problem is too difficult, then perhaps you may solve an easier one, just to give me some direction please. The only example I have is the Riemann function for the telegraph equation
Determine the area to the left of f(y) = 3 - y^2 and to the right of X = -1
Draw a network diagram of the revised project and determine the revised critical path and project completion time
1. You decide to invest $15000 into a bank account that that is compounding its interest monthly. Assuming the bank is paying out an interest rate of the current prime rate - 1% (In the event that prime - 1% is less than 1%, use 1%), and the in..
A box contains 10 items, of which 3 are defective and 7 are non-defective. Two items are randomly selected, one at a time, with replacement, and x is the number of defective items in the sample.
A rational expression is a fraction of two polynomials. If you need to add or subtract two rational expressions, how would you do it? Describe, in your own words, the process for finding the Least Common Denominator (LCD) of two rational expre..
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