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Find the area of the region enclosed by the curves y = 5cos((pi*x)/2) and y = 5-5x^2
Please show as fraction.
Evaluate which equations are under-identified, just-identified, and over-identified.
Find the absolute minimum and maximum values of the function f(x,y) = 1+4x-5y on the closed triangular region with the vertices (0,0),(3,0), and (0,3).
Difference and relationship between correlation and determination as it applies to linear regression analysis
Use the Theorem of Pappus to ?nd the volume of the given solid.
Find the Fourier series expansions of f(x) = Co + C1x^2 with respect to the following two orthonormal bases on the interval [0,L] (L>0)
Suppose that ydx + (yx^2-x)dy = 0 has an integrating factor that is a function of x alone [i.i., mu = mu(x)]. Find the integrating factor and use it to solve the differential equation.
Find the equation of the tangent plane to the ellipsoid 7x2 + 5y2 + 3z2 = 60 which pass through the line 5y - 3z = 0 = 7x + 10y - 30.
Find the volume of the region rotated about the given axis bounded by the graphs of e^-x, y=0, and x=0.
Walleye is a common game fish. Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm and the distribution of lengths is approximately Normal. What fraction of walleye are longer than 52 cm in length?
The manufacturer can produce the lamps at a cost of $4 per lamp. At what price should the manufacturer sell the lamps to generate the greatest possible profit?
Show that if f:A->R is Lipschitz then it is uniformly continuous on A. Is the converse statement true? Are all uniformly continuous functions necessarily Lipschitz?
In a tank containing 100 gallons of fresh water, 10 lbs of salt was added instead of 20 lbs. To correct the mistake, fresh water was added at the rate of 3 gallons per minute while draining off the well stirred salt solution from the tank at the s..
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