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Derive a formula for Summation n i=1 i3 by using a telescoping sum with terms f(i)=i2
Find the equation of integral surface to the differential equation
2y(z-3)p+(2x-z)q=y(2x-3) which passes through the circle z=0 , (x)^2 + (y)^2 = 2x
Suppose that Charlie makes a free throw 0.82 on any one try. Assuming that this probability doesn’t change, find the chance that Charlie makes 4 out of the next seven free throws. Find the mean and standard deviation
Consider a manufacturing process that is known to produce bulbs that have life lengths with a standard deviation of 75 days. A potential customer will purchase bulbs from the company that manufactures the bulbs if she is convinced that the average life of the bulbs is 1550 days.
If A = {1, 2, 3, 4, 6, 12} then define a relation R by aRb if and only if a divides b. Prove that R is a partial order on A.
Q(1) Determine Whether Each Of The Following Systems Is Linear: (A) 3x – 4y + 2yz = 8 (b) ex + 3y = 1(C) 2x-3y+kz=4
Q(2) Write V As A Linear Combination Of U1, U2, And U3 V=(1,4,6) U1=(1,1,2) U2=(2,3,5) U3=(3,5,8)
Suppose that A = {2, 4, 6}, B ={2, 6}, C ={4, 6}, and D ={4, 6, 8}. Determine which of these sets
are subsets of which other of these sets.
A tent of a given volume has a square base of side 2a, has its four sides vertical of height b and is surmounted by a regular pyramid of height 1. find the values of a and b in terms of height I such that the canvas required for its construction is minimum.
Find critical points of f (x,y) = 1/4x^2 -4xy^2 - 2x^2 +8y^2
The mean height of 25 male workers in a factory is 61 cms and the mean height of 35 female workers in the same factory is 28 cms. Find the combined mean height of 60 workers in the factory.
