Month: July 2015

Find  f[g(x)]. f(u) = eu; g(x) = -2×7   solution:-   Recall that a function m is a composite of function f and g if the following equation is true.…

Find y’ if y =     Solution:-   Rewrite the denominator with a negative rational exponent. y = -18x-1/5 Use the power rule to find the derivative of the…

The  life expectancy  of a certain type of  computer chip is a continuous random variable with probability density function. Find the probability that a randomly selected chip will last from…

The Lorenz curve for the income distribution in a certain country is given by f(x) = . a. Find the Gini index. b. Use the answer in 1) to determine…

Find the total income produced by a continuous income stream in the  first nine years if the rate of flow is f(t) = 3300.   Solution:-   29700  

Find the interest earned at 5% compounded continuously for two years by a continuous income stream with rate flow of f(t) = 1250.   Solution:-   129  

Find the future value at 8% interest compounded continuously for five years for the continuous income stream with rate of flow f(t) = 560.   Solution:-   3443  

Find the area bounded by f(x) = x2– 3x +7 and g(x) = 2x +7   Solution:-   20.83    

Find the area bounded by y = x2– 4x – 5 and y = x + 1   Solution:-      

Find the area between the graph if f(x) = 50 + 3×2 and the x-axis over the interval [-2,4].   Solution:-     372