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Maths
A Level

Find the tangent to the curve y=x^2 +2x at point (1,3)

In order to find the gradient we need to differentiate d/Dx = 2x + 2using our point, the gradient is 4using y = mx+cy = 4x +cusing our pointsy= 4x - 1

Answered by Diana W. Maths tutor
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What are the limits of an inverse tan graph.

pi/2 and -pi/2

Answered by Emily H. Maths tutor
2287 Views

Solve x^3+2*x^2-5*x-6=0

First find a root of the function: f(x)=x^3+2x^2-5x-6 f(2)=(2)^3+2*(2)^2-5*(2)-6 =0. Therefore, (x-2)(x^2+Ax+3)=0 where A is an unkown constant. Compare x^2 coeffecients: A-2=2, A=4. So (x-2)(x^2+4x+3)=0....

Answered by Maths tutor
1626 Views

A new sports car accelerates using rockets at 5m/s for 30 seconds from some traffic lights and then decelerate for 45 seconds to a stop.

SUVAT Part (A) Part (B) S=? S=?U=0 U= Calc From A (V)V=? V= 0T=30s t=45sPart A: V=U+atV=0+530V= 150S=ut+at2S=0+530*30S=4500mPart B: S=(U+V)t/2S=7545S=3375mTotal Distance = 337...

Answered by Matthew W. Maths tutor
1919 Views

Express cos(2x) in terms of acos^2(x) + b

cos(2x)=cos2(x) - sin2(x)use sin2(x) = 1 - cos2(x)so cos(2x)=cos2(x) - (1 - cos2(x))cos(2x)=2cos2(x) - 1so a = 2 and b = -1

Answered by Maths tutor
2258 Views

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