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If s=ut + 1/2 at^2 , a) make a the subject of the expression b) make u the subject of the expression c) if s=10, t=2 and u=4 find the value of a

a) s=ut + 1/2 at 2 Firstly , take the ut to the left hand side of the equation in order to isolate the 1/2 at 2 .s-ut=1/2 at 2 Then multiply both sides by 2 to leave just at 2 on the right hand side.2s-2ut=a...
FY
Answered by Freddy Y. • Maths tutor
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Given that F(x) = X^2 - 10X + 17. Write F(x) in the form of (x+a)^2 + b = 0, where a, & b are constants.

So we know that our equation is: X 2 - 10X +17 = 0. STEP 1: rearrange this equation to get x on one side: X 2 - 10X = -17. Lets call this, "equation 1". STEP 2: Understand that (X + a) 2 = X 2 + 2a...
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Answered by Rumit M. • Maths tutor
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Let p(x) = 30 x^3 -7 x^2 - 7 x + 2. Prove that (2x + 1) is a factor of p(x) and factorise p(x) completely.

Using the Factor Theorem , we know that (2x + 1) = 2(x + 1/2) = 2(x - (-1/2) ) is a factor of p(x) if and only if p(-1/2) = 0 , which is true. Now that we know a factor of p(x), we use the polynomial divisio...
Answered by • Maths tutor
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proof for the derivative of sin(x) is cos(x) (5 marks)

let f(x)=sin x f'(x) lim h-> 0 = ( sin(x+h) - sin(x))/h. f'(x) lim h-> 0 =( sin(x)cos(h) + cos(x)sin(h) - sin(x))/ h. f'(x) lim h-> 0=(sin(x)(cos(h)-1)/h + cos(x) (sin(h))/h. then as h tends to zero...
NP
Answered by Nicola P. • Maths tutor
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Find the total area enclosed between y = x^3 - x, the x axis and the lines x = 1 and x= -1 . (Why do i get 0 as an answer?)

Our first step should always be to make sure we understand what the question actually wants from us, in the case of most polynomial questions a rough sketch with any information we know is very useful. Find ...
GB
Answered by George B. • Maths tutor
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