Calculus Answers

B & N Ltd monthly demand for shirts is given by p=1500-0.4q,where p denotes the price (in dollars) of each shirt and q denotes the quantity demanded.The company's manufacturing department estimated the total profit (in dollars) of producing q units of shirts to be P (q)=-0.4q²+1300q+1000,Calculate the price at which Buck&MaraghLtd.profit maximized.

A price p

 (in dollars) and demand x

 for a product are related by

2x^2-8xp+50p^2=7400

If the price is increasing at a rate of 2 dollars per month when the price is 10 dollars, find the rate of change of the demand.

 A spotlight on the ground is shining on a wall 24m

 away. If a woman 2m

 tall walks from the spotlight toward the building at a speed of 1.2m/s,

 how fast is the length of her shadow on the building decreasing when she is 2m

 from the building?

The equation for a distance, s(m), travelled in time t(s) by an object starting with an initial velocity u(ms^-1) and uniform acceleration a(ms^-2) is:

Given that y=x−m what is dydx?

Does the domain of the function f defined by f(x) =√(3-x) /√(x-2) is R-{2}

What is Integration? Discuss types of Integration with Example.

the equation of a curve is given as f(x)= sqrt 2x-1, find the equation of the tangent line to the graph of f(x) at x=5

Find the area of the region enclosed by the graphs of y= 3/x and y=4-x

Find the area of the region enclosed by the graphs of f(x)=x³ and g(x)=x²+2x

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