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A particle moves according to the law d2y/ dx2 = 3x2 if y=3/4 when x = 0 and y = 2 when x = 1 find the value of y.
What is degree of polynomial and is it a monomial, binomial or trinomial? Find the quotient and remainder
The surface area S of a right prism is given by S = 2B + Ph. The length of a rectangle is five times its width. If the area of the rectangle is 500m², find its perimeter.
Prove Let D be a nontrivial connected digraph. Then D is Eulerian if and only if od(v)=id(v) for every vertex v of D. Od means the outdegree of a vertex v of a digraph D. (is the number of vertices of D that are adjacent from v.
A basket contains 6 red apples and 9 green apples . A sample of 5 apples is drawn. Find the probability that the sample contains
measure of each exterior angle of a regular polygon is 20 degrees, how many sides does the polygon have.
Swearingen and McDonald, a small furniture manufacturer, produces fine hardwood tables and chairs. Each product must go through three stages in the manufacturing process -assembly, finishing, and inspection
the standard IQ test has a mean of 98 and the standard deviation of 14. We want to be 99% certain that we are within the 4 IQ points of the true mean. Determine the required sample size.
A power Station and a factory are on opposite sides of a river 60m wide. A cable must be run from the power station to the factory. it costs $25 per meter to run a cable in the river and $20 per meter on land.
Air is pumped into a spherical balloon, so the balloon expands. The volume of a sphere of radius R is . If the radius of the sphere after t seconds is 2t centimeters, at what rate is air being pumped in when t=5?
Find the number of pitchers that she should produce and the price she should charge in order to maximize profit. Also find the maximum profit.
In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. For the change of -glucono lactone into gluconic acid, for example, when is measured in hours.
Talk about the old days! A long-playing record has a radius of 6 inches. How far does a fly sitting on the rim of the record travel after the record has turned around once? (Use pi = 3.14).
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