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A ball is released on a smooth ramp at a distance of 5 metres from the ground. Calculate its speed when it reaches the bottom of the ramp.

The ramp is smooth, so the effects of friction can be ignored. Therefore, the potential energy lost by the ball is equivalent to the kinetic energy gained by the ball. The formula for kinetic energy is 1/...

Answered by Cameron B. • Maths tutor

3821 Views

R=1000e^-ct , it takes 5730 years for half of the substance to decay a. find the number of atoms at the start of the decay. b. calculate the number of atoms left when t=22920. c. sketch the function.

a.1000 b. R=62.5 c. Sketch

Answered by Prasad U. • Maths tutor

3900 Views

How do you integrate ln(x)?

I would use the whiteboard and write down y=lnx, and also the integration by parts formula below it. I would then explain how to treat ln(x) as the "u" and "1" as dv/dx; including why ...

Answered by Jamie Z. • Maths tutor

2684 Views

find the gradient of the tangent to the curve y=x^2 at the point (4,16)

First of all you must differentiate this function, as this will give you the gradient function necessary to find the gradient at the point (4,16). To differentiate it you use the formula dy/dx= a...

Answered by Jessica M. • Maths tutor

6302 Views

How do you find dy/dx for a set of parametric equations?

Using the chain rule:If the parameter used is 't', differentiate each equation with respect to 't' so that you have answers for dy/dt, and dx/dt.From the chain rule it is known that: "dy/dx=dy/du * d...

Answered by Federico C. • Maths tutor

5822 Views