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All the integrals below are understood in the sense of the Lebesgue.
(1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]. Then
(2) Assume that f is integrable over [0; 1]. Show that
is di erentiable a.e on (0; 1).
(3) Assume that f is continuous on [0; 1]. Suppose that
max z=3x1+2x2 s.t x1+2x2 3x1+2x2>=6 x1+4x2 x1,x2,x3>=0
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what is the unit price of 6.5 cups of pizza sauce?
Definition: An equation is considered as function if for any x in the domain of the equation (the domain is the entire x's which can be plugged into the equation) the equation wil
The following graph shows the growth of the median home value in a particular region of the United States starting in 1996. The graphs starts in 1996 and shows the trend through t
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Center of Mass - Applications of integrals In this part we are going to find out the center of mass or centroid of a thin plate along with uniform density ρ. The center of mass
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