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How to perform integration by substitution. (e.g. Find the integral of (2x)/((4+(3(x^2)))^2)) (10 marks)

We begin by looking at the integral by itself. The first thing we must do is evaluate what type of integration we should perform. It's always important to make sure that it's not a standard integral such as ...
KB
Answered by Kenneth B. • Maths tutor
4603 Views

Calculate the mean and standard deviation from the following data

Time (Minutes) to complete an exam: 40, 38, 67, 84, 92, 43, 58, 57, 48, 50, 50, 74, 86 Mean: (add up the scores = 787; then divide by the number of participants = 13) 60.54 (to 2 decimal places) Standard dev...
AK
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Define Normative Social Influence

Normative Social Influence is when one is influence by the people around them in an effort to be liked and accepted by them, which leads to conformity.
Answered by • Psychology tutor
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A function is defined as f(x) = x / sqrt(2x-2). Use the quotient rule to show that f'(x) = (x-2)/(2x-2)^(3/2)

u = x v = (2x-2)^(0.5)u' = 1 v' = (2x-2)^(-0.5)f'(x) = (vu' - uv') / v^2Therefore, f'(x) = (((2x-2)^(0.5) * 1) - (x * (2x-2)^(-0.5))) / ((2x-2)^(0.5))^2f'(x) = (2x - 2 - x) / (2x-2)^(3/2) = (x-2) / (2x-2)^(3...
IF
Answered by Isaac F. • Maths tutor
9977 Views

A complex number z has argument θ and modulus 1. Show that (z^n)-(z^-n)=2iSin(nθ).

This problem wants you to use De Moivre's theorem to prove a trigonometric identity.We will tackle this problem by taking the left hand side and using theorems and manipulation to show it is equivalent to th...
GC
7137 Views