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What is the indefinite integral of cos^2x?

List Trigonmetric identities which could help to simpilfy integral Use cos(2x)= Cos 2 x-sin 2 x and sin 2 x=1-cos 2 x Sub identity 2 into 1 and rearrange to show Cos 2 x=(1+cos2x)/2 and integrate to find the...
JM
Answered by Jake M. • Maths tutor
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Given y = x^3 + 4x + 1, find the value of dy/dx when x=3

To differentiate this equation, you must bring the power of each x term down to the front and reduce the power of x by 1, with constants disappearing: dy/dx = 3 x 3-1 + (4 1)*x 1-1 = 3x 2 + 4 To find the val...
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Answered by Florence H. • Maths tutor
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How do one tailed and two tailed hypothesis tests differ

A one tailed test is when you are testing specifically for an increase or decrease- eg whether the probability of a person buying a product has INCREASED after a marketing change A two tailed test is when yo...
KG
Answered by Katie G. • Maths tutor
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Find the maximum point of the curve from its given equation: [...]

Firstly you would have to differentiate the equation to find the expression that describes the rate of change of the parameters relative to each other using the standard differentiation method. This involves...
MS
Answered by Merry S. • Maths tutor
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Let f(x) = 2x^3 + x^2 - 5x + c. Given that f(1) = 0 find the values of c.

In order to solve this question we simply must substitute x=1 into f(x). But what is f(x)? What does it actually mean to make a subsitution? f(x) has a fancy name attached to it called a function . It is ess...
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Answered by Michael L. • Maths tutor
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