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Given that y= x^(-3/2) + (1/2)x^4 + 2, Find: (a) the integral of y (b) the second differential of y

This is a typical question for a Core 1 paper. (a) integral of y = (-2)x^(-1/2) + 0.1x^5 + 2x +C Method: Increase the power of x by +1, divide the term through by the new power. (b) dy/dx = (-3/2)x^(-5/2)...

Answered by Maths tutor
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How do I expand 2 sets of brackets to make a quadratic?

The FOIL method should be used to expand 2 sets of brackets. FOIL stands for: FIRST, OUTSIDE, INSIDE, LAST. Here is the foil method used without numbers; this creates a general formula. Expanding (x+a)(x+...

Answered by Sarah L. Maths tutor
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Multiply 1/4 by 1/8

1/32

Answered by Teresa T. Maths tutor
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How do I work out the measurement of an angle in a right-angle triangle?

When solving an angle for a right-angled triangle you need to use the acronym SOH CAH TOA, using the functions sin(x), cos(x) and tan(x). The other letters O, H and A represent the side of the triangle, s...

Answered by Zoe S. Maths tutor
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Write down the coordinates of the turning point of the graph y = x^2 – 8x + 25

First, for this graph dy/dx = 2x-8. At a turning point of any graph, dy/dx=0. Therefore 2x-8=0. x=4. Plug x value back into original graph formula : (4)^2 - 8(4) + 25 = 9. Therefore y=9. Coordinates : (4,...

Answered by Adi R. Maths tutor
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