Calculus Answers

\int _1^2\int _2^3\int _0^1\:8xyzdzdxdy

Discuss the maxima and minima of f(x,y)=x³y²(24 –x - y).

y = x³+ 3 x + x³x

 (3x+1)dx / ((x+1)^12(3x-1)^12)

 (3x+1)dx / ((x+1)^12(3x-1)^12)

Write the Importance of differential and integral in multivariable calculus.

Give at least 10 points.

The marketing research department for a company that manufactures and sells computers established the following price-demand and cost functions. p(x)=2262-63x   where p(x) is the wholesale price per computer in dollars at which x thousands of computers can be soldC(x)=4151+599xwhere C(x) is the cost in thousands of dollars. Domain of both functions is 0≤x≤35. 1. Find the Maximum Revenue (in thousands of dollars) R_Max(x)=
(Round to 3 d.p.)

Differentiate the following function:g(x)= x³+(1/x³)

Bromine-82 has a half-life of 36 hours. A sample containing Br-82 was found to have an activity of 1.4x10^5 disintegrations/min. How many grams of Br-82 were present in the sample? Assume that there were no other radioactive nuclides in the sample.

Q: - Write the Importance of differential and integral in multivariable calculus.

Give arleast 10 points.