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A ball is thrown from ground level at an angle of 30 degrees from the horizontal with a velocity of 20 m/s. It just clears a wall with a height of 5m, from this calculate the distances that the wall could be from the starting position.

The first thing to do is draw a diagram to visualise the problem. Next we write down all the information the question gives us as well as which values we want to find. For this question it would be S=5m, U=2...
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Answered by Aysha A. • Maths tutor
4610 Views

How do I work out (2+y)^4 using the binomial expansion?

We're going to use the binomial expansion formula, which is a lot easier to remember than it looks: (a+b) n =C 0 *a n *b 0 + C 1 *a (n-1) *b 1 + C 2 *a (n-2) *b 2 +....+ C n *a 0 b n Now let's apply this for...
AB
Answered by Andrew B. • Maths tutor
3994 Views

Find dy/dx at t=3, where x=t^3-5t^2+5t and y=2t^2

Using the product rule, we find that dy/dx= dy/dt multiplied by dt/dx, where dt/dx is the reciprocal of dx/dt dx/dt= 3t^2-10t+5, dy/dt= 4t At t=3, dx/dt= 3(3)^2-10(3)+5=2, dy/dt= 4(3)= 12 Therefore, dt/dx= 1...
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Answered by Oore A. • Maths tutor
5332 Views

Express 21/root7 in the form k root7.

21/root 7 = 21root7/7 = 3root7 k = 3
AW
Answered by Ally W. • Maths tutor
7502 Views

Given that y = 5x(3) + 7x + 3, find A) dy/dx B) d2y/dx2

A) 15x 2 +7 B) 30x
AW
Answered by Ally W. • Maths tutor
5511 Views