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Find the stationary point(s) of the curve: y = 3x^4 - 8x^3 - 3.

Firstly. Recognise which method you should use to approach this question. In this case, you can find the stationary point of a curve where its gradient is 0 i.e. at a point where the grad...

Answered by Laurene L. Maths tutor
4457 Views

A,B,C and D are points on a circle. ABCD is a square of side 7 cm. Work out the total area of the shaded regions. Give your answer correct to the nearest whole number.

To work out the shaded area, we first need to calculate the area of the square and the area of the circle. The shaded area is equal to the area of the circle minus the area of the square.
The area of...

Answered by Avnish S. Maths tutor
14726 Views

OCR C2 2015 Question 8: (a) Use logarithms to solve the equation 2^(n-3) = 18,000 , giving your answer correct to 3 significant figures. (b) Solve the simultaneous equations log2(x) + log2(y) = 8 & log2(x^2/y) = 7.

(a)This question actually tells us what to do. It is very hard to miss "use logarithms to solve...". So our first step is going to be to use logs (espec...

Answered by Jonathan H. Maths tutor
6497 Views

How do you integrate sin(3x)cos(5x)?

STEP 1 Cannot integrate directly in this form, therefore use a trigonometric identity. Identity: sin(A) + sin(B) = 2sin((A+B)/2)cos((A-B)/2) STEP 2 (A+B)/2 = 3x             A + B = 6x   (1) (A-B)/2 = 5x  ...

Answered by Catherine F. Maths tutor
6899 Views

Why does the constant disappear when differentiating a function?

We can think of the constant term in a function in terms of x, for example in x^2 + 3x + 2 as 2 being multiplied by x^0. Anything to the power of 0 is equal to one, so in our example we would have 2 * x^ ...

Answered by Abdullah P. Maths tutor
9462 Views

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