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A ball is thrown in the air. The height of the ball at time t is given by: h=5+4t-2t^2. What is its maximum height? At what time does the ball reach this height?

First, we find the derivative of h: dh/dt= 4-4t. To find the point(s) of interest, we solve dh/dt=0. This gives the answer t=1. In order to determine whether t=1 is a minimum point or maximum point we fin...

DS
Answered by Debbie S. Maths tutor
4248 Views

Expand the brackets: (3a+3)(a+4)

To expand this, we must multiply each term in both brackets separately and then add all of these terms together. First, multiply the first term in each of the brackets: 3a x a = 3a^2. Next multiply the fi...

LB
Answered by Luke B. Maths tutor
3647 Views

Solve 2x+1=11

When faced with a question like this, the aim is to work out the value of "x". What this question basically means is "what number can we multiply by 2 and add 1 onto it to get 11. There a f...

MI
Answered by Molly I. Maths tutor
6143 Views

How do I know when to integrate using by parts or by substitution?

When integrating a function which can be defined as a combination of two functions, it can be difficult to tell whether or not to use by parts. We can spot when to use by parts if we look at the composite...

EK
Answered by Eesa K. Maths tutor
2742 Views

Adam buys 4kg of sweets and pays £10 for them. Adam puts all of the sweers into bags with 250g in each bag. He sells the bags for 70p each. All the bags of sweets are sold, what is the percentage profit?

First you would figure out how many bags of sweets Adam made, this would be done by converting 4kg into grams (x1000) so 4 x 1000 = 4000g. Then you would divide the 4000g by 250g to see that 16 bags of sw...

AS
Answered by Anton S. Maths tutor
3135 Views

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