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Suppose a pyramid has a retangular base whose width is 5 centimeters less than its length. If the height is 1 centimeter and the volume is 12 cubic centimeters, find the length of the base.
To find the rate of increment in the height of conical pile at a particular point using differentiation.
Using a suitable change of variables, find the solution of (1/4)y''-((4z 2 +3)/(4z))y'+(z 2 +1)y=z 4 e (2z) , y(0)=y(1)=0.
Automorphism, Abelian Group and GCD, Let G be a finite Abelian group of order n, and let m be a positive integer with gcd(m,n)=1. Prove that φ:G-->G defined by φ
Among 250 latex gloves, 7 percent leaked viruses. Using 95 percent confidence interval tests a claim that Viny gloves have a larger virus leak rate than latex gloves. Basically you need to answer the following questions.
A firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2.
A landscaper wants to combine golden landscape rock with rust-colored landscape rock to make a mix. The golden rock costs $0.59 per pound and the rust-colored rock cost $0.49 per pound.
Probability of Defective Resistors: DeMoivre-Laplace Theorem, A manufacturer of electronic equipment buys 900 resistors for which the probability of any single resistor being defective is p = 0.01.
Find the linear equation that relates value (V) in dollars to time (t) in years. What would be the value of the equipment after 6 years?
Let A be an n × n matrix with eigen values 1, 2, · · · , n. Prove there are (2 n )n! Different matrix S with the property that the length of each column vector of S is 2 such that (S -1 )AS is diagonal.
Find the curve that passes through the points (3, 2) and has the property that if the tangent line is drawn at any point P on the curve, then the part of the tangent line that lies in the first quadrant is bisected at P.
The differentiation
Make a confidence interval at the 95 percent level
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