Calculus Answers

Find the co-ordinates of the points on the curve Y=X^3-2x^2+3x-5 where its gradient is 2

Differitiate:Y=X^2(X^2+2)^2

Find the maximum and the minimum point of Y= -(X+1)^3 +8

For \\(g(x)=\\frac{x-4}{x-3}, we can use the mean value theorem on [4, 6], Hence determine \\(c\\)

1. find the gradient to the normal to the curve x^4-4xy+2y^2=0 at point (-1,3)..
2. differentiate f(x)= (x^3-9)^10 with respect of x

3. A rectangular (uncovered) container can fill up 3000 cm3 of liquid that fixed with a length of 20cm. Find the dimensions of the container that has the least surface area.

The viewing room window is 1.70 m above the trampoline directly below, so it is perfect for viewing the the facility. Occasionally someone jumps past the window and then back down. On one occurrence a gymnast went up past the window and came back down; as he passed the window on the way down, you notice that his speed is 13.8 m/s.

What must have been his initial speed coming off the trampoline?

Evaluate Gamma (-frac{3}{2})

Trace the curve y^2=(x+1)(x-1)^2 by showing all properties

Let \\(f(x)=x^{4}-2x^{2}\\). Find the all \\(c\\) (where \\(c\\) is the interception on the x-axis ) in the interval (-2, 2) such that \\(f\'(x)=0\\). ( Hint use Rolle\'s theorem )