Thursday

June 30, 2016
Total # Posts: 305

**Calculus**

Determine the volume of the solid abtained when the region bounded by y=sqrt x and the line Y=2 and x=0 is rotated: (i) about the x-axis (ii) about the line x=4. (i) Each element of the body of revolution with thickness dx, has area pi*(sqrt x)^2 dx = pi x dx. Integrate that ...
*August 12, 2006*

**differantiation**

Determine dy/dx if: (i) Y= sqrt x^sqrt x (ii) Y= xarcsin(x) + sqrt(1-x) Please show all steps. Thanks 1) http://www.analyzemath.com/calculus/Differentiation/first_derivative.html 2) an antiderivative of arcsin(x) is xarcsin(x)-sqrt(1-x^2); are you certain the second term is ...
*August 12, 2006*

**Statistics**

Let X1;X2;X3;...;X6 be a random sample from a distribution with the following probability desity function: Fx(x) = (1+4x)/3 for 0<x<1 = 0 for x=<0; x>=1. (a) Determine the joint p.d.f of Y1 and Y6 where Y1<Y2<...Y6 are the order statistics. (b) Let R= Y6-Y1 ...
*August 10, 2006*

**Statistics**

A normal population has an expected value of 60 and a variance of 30. Use the central limit theorem to determine what the sample size should be such that the mean has a probability of 90% to fall between the values 58 and 62. One concept of the Central Limit Theorem is ...
*August 10, 2006*

**Statistics**

Suppose X1;X2;...;X5 is a random sample from a n(0; variance) distribution. define U = X1+X2+X3+X4; V = (X2)^2+(X3)^2+(X4)^2+(X5)^2 and W = U/sqrtV. (a) Name the distribution of U/4 and V/(variance) and give the values of their parameters. (b) (i) Compute k such that kW has a ...
*August 10, 2006*