## Calculus Resources

For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inelastic at the indicated price. (Round your answer to three decimal places...

Find the absolute maximum and minimum values of the functions on the given region R.   (a) f(x,y)=x2+y2-2x-2y; R is the closed region bounded by the triangle with vertices (0,0),...

Consider the function f(x,y) = xye-(1/8)((x^2)+(y^2)). (a) Find all critical points of the function and classify as relative maximum, minimum, or saddle point.   (b) Show...

Water is dripping into a funnel at a rate of 1 cm3 per minute. The upper part of the funnel is the shape of an inverted cone with a diameter of 10 cm and a height of 10 cm. A small wad of paper becomes...

So I did the derivative of the function g’(x)=(3x^2)-30x+63 which gives you the points x=7 and x=3 when you factorise but how do I incorporate the (0,6) interval for the answer?

I can't find a definite answer for this question anywhere online, so I would love to see an actual numerical answer and an explanation for this. Thanks in advance.

dy/dx= (2cx-x^-1)/((y^-1)-2cy)   the c's are constants of integration. I am trying to find a differential equation for the family of curves: ln(xy)=c(x^2+y^2) and can't figure out...