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Question 3 on the OCR MEI C1 June 2015 paper. Evaluate the following. (i) 200^0 (ii) (9/25)^(-1/2)

For both parts you have to remember some of the properties of powers. Rule 1: x^0 = 1. Rule 2: x^(-n) = 1/(x^n). Rule 3: x^(1/n) = n-th root of x. For part (i) we can use rule 1 to see that 200^0 = 0. For pa...
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Answered by Tom K. • Maths tutor
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Find the area under the curve y = (4x^3) + (9x^2) - 2x + 7 between x=0 and x=2

To be able to solve this, the equation needs to be integrated. To do this, increase the power by 1 and divide by the new power. The equation below is equal to that given in the question y = 4(x^3) + 9(x^2) -...
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Answered by Nicholas H. • Maths tutor
4988 Views

How would I answer this question? Use factor theorem to show (x-2) is a factor of f(x) = 2x^3 -7x^2 +4x +4.

The first step is to find out the value of x for which your bracket/value you think is a factor equals 0. So, x – 2 = 0, therefore x = 2. Now plug in this value into your original equation and if the result ...
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Answered by Maria S. • Maths tutor
5498 Views

Find the exact value of x from the equation 3^x * e^4x = e^7

To begin to solve this equation we must take natural logarithms of both sides of the equation. This gives: ln(3^x*e^4x) = lne^7 Then we can use the log rules on the left hand side to expand it slightly to: l...
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Answered by Chris B. • Maths tutor
15672 Views

How to calculate the inverse of a 2x2 matrix

Suppose we have a matrix M = [{a b} {c d}] The inverse of a matrix M is any matrix, that when multiplied by M, gives the unit matrix (I) - in this case: [{1 0} {0 1}] First, we have to determine if the matri...
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Answered by Alex R. • Maths tutor
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