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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
Descrbe about Arithmetic and Geometric Sequences? When numbers are listed according to a particular pattern, we call the list a sequence. In a sequence, the numbers are separat
find the radius of circumcircle of an equilateral triangle of 6root3 one side.
Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b
Example of line - Common Polar Coordinate Graphs Example: Graph θ = 3Π, r cos θ = 4 and r sin θ = -3 on similar axis system. Solution There actually isn't too much to
Each Child Is Unique : Although every child goes through similar stages of development, the process may vary from one set of children to another, and also from one child to anoth
Marvin is helping his teachers plan a ?eld trip. There are 125 people going on the ?eld trip and each school bus holds 48 people. What is the minimum number of school buses they wi
which ratio is largar. 1. 15:16 or 24:25
Describe Subtracting Negative Fractions? Subtracting two fractions, whether one is positive and one is negative, or whether they are both negative, is almost the same process a
y(x) = x -3/2 is a solution to 4x 2 y′′ + 12xy′ + 3y = 0 , y (4) = 1/8 , and y'(4) = -3/64 Solution : As we noticed in previous illustration the function is a solution an
solve for x and y 2x+3y=12 and 30x+11y=112
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