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Why do we have to add the +c when integrating a function

First of all it is important to know that differentiation is the opposite of integration. So if we integrate some function g(x) and get f(x), it means that when we differentiate f(x) we should get g(x). We d...
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Answered by Niraj S. • Maths tutor
5509 Views

Solve the following equation: 5x - 1 = 3x + 7

5x - 1 = 3x + 75x = 3x + 82x = 8x = 4
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Answered by Daragh H. • Maths tutor
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Solve the simultaneous equations 3x + y = -4 and 3x - 4y = 6

When solving simultaneous equations our goal is always to use the equations given, which each have two unknowns in them, in order to find an equation with only one unknown. In this example, we can see that b...
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Answered by Sofya E. • Maths tutor
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If A is divided by B, the result is 5/7. If B is divided by C, the result is 4/5. What is the result of A divided by C ?

A=5 when B=7, B=4 when C=5. (Using Ratios, 5:7 & 4:5) Knowing the relationship between both A & C with B means that we can find the relationship between A&C themselves. (A=5, B=7)*4 ; A=20 when B...
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Answered by Inez A. • Maths tutor
3669 Views

Show, by first principles, that the differential of x^2 is 2x.

First I would draw a Diagram of y=x 2 on the x and y plane, for x>0. Then label a generic point as (x,y), then noting that as y=x 2 we can then equate the sane point to (x, x 2 ). Then I would note that a...
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Answered by Kieren J. • Maths tutor
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