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'Considering an abortion is a question of choice, not a question of life.' Discuss.

This question raises a number of issues: whether women have complete freedom over their body's or not; at what point does a foetus become a person; should a foetus with a disability be treated differently; w...
AL
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It is given that f(x) = 2sinhx+3coshx. Show that the curve y = f(x) has a stationary point at x =-½ ln(5) and find the value of y at this point. Solve the equation f(x) = 5, giving your answers exactly

1.Differentiating: f'(x)= 2cosh(x)+3sinh(x) At a stationary point, we know f'(x)=0. Therefore 2cosh(x)+3sinh(x)=0. (easy to forget that unlike nromal trig there is no change in sign) Rearranging gives tanh(x...
SB
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Integrate | x^7 (ln x)^2 dx ( | used in place of sigma throughout question)

Start the integration by parts process |udv = uv - |vdu u = (ln x) 2 dv = x 7 dx du = 2(ln x)/x dx v = 1/8 x 8 = 1/8 x 8 (ln x) 2 - | 1/4(ln x)x 7 dx = 1/8 x 8 (ln x) 2 -1/4 | x 7 (ln x) dx Repeat the integr...
RD
Answered by Rowan D. • Maths tutor
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How would you structure a 6 mark essay question?

For a 6 marker, you should be developing 2 distinct points, totalling 4 marks, and then providing a well reasoned evaluation as a conclusion for the last 2 marks. For the two distinct points, it is important...
LH
Answered by Luke H. • Economics tutor
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The area of a rectangle is 8cm^2. It has a length of (3x+1)cm and a width of (2x+5)cm. Work out the value of x.

We know that the equation of the area of a rectangle is width times by length. Therefore: 8=(3x+1)(2x+5) If we multiply out the brackets we get: 8=(6x 2 +2x+15x+5), thus, 8=6x 2 +17x+5, and therefore, 0=6x 2...
OC
Answered by Oliver C. • Maths tutor
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