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a) i) find dy/dx of y = 3x^4 - 8x^3 - 3 ii) then find d^2y/dx^2 b) verify that x=2 at a stationary point on the curve c c) is this point a minima or a maxima

So the first step is to find the first differential of yTo do this we simply have to differentiate:so with C being our coefficient, n being the power that x is.we need to reduce the power of x by 1, whils...

Answered by Charlie M. • Maths tutor

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Solve simultaneously. x^2+y^2 = 25 ; y - 3x = 13

y = 3x + 1310x^2 + 78x + 169 = 2510x^2 +78x +144 = 0(5x+24)(2x+6) = 0x = -24/5 or -3y = -7/5 or 16

Answered by Ben H. • Maths tutor

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There are 5 blue counters and 5 red. x takes 2 counters out of the bag without replacing them. What is the probability x took 2 red counters.

5/10 * 4/9 = 20/90 = 2/9

Answered by Ben H. • Maths tutor

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Find the value of (81)^(-1/2)

1/9

Answered by Ben H. • Maths tutor

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3 1/2 - 2 1/3

Firstly we need to change each fraction into improper fractions. 7/2- 7/3then we need to give each fraction a common denominator. In this case we will use sixths. 21/6 - 14/6. Ans: 7/6

Answered by Juliette T. • Maths tutor

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