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Maths
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Solve (4x10^-3)x(9x10^4)

The answer is 1.3x10^2. To solve this you need to multiply the integers first to get 13. The exponents (x10^4 for example) are then multiplied, since it is multiplication the powers are simply added to ...

PR
Answered by Philippe R. Maths tutor
6487 Views

Factorise x^2 + 2x - 3

This is in the form Ax^2+Bx +C where A=1 B=2 and C=-3 We need to find two numbers (let's call them p and q) which multiply to equal C and add to equal B. Since C is negative we need a positive number and ...

CG
Answered by Catherine G. Maths tutor
6811 Views

I know how to integrate, but I still never see any real world example of it, so it is difficult to understand. Why is it useful?

(In tandem with the whiteboard) Integration is a way of working out the total of something. An example of this is if you see a graph of velocity and time, the area under the graph is the total distance tr...

CM
Answered by Cain M. Maths tutor
3154 Views

Solve the following equation. (x)^2-8x+15=0

Factors of 15 that add together to make -8: -3 and -5 Factorise: (x-3)(x-5)=0 Solve: x=3 x=5

AC
Answered by Amelia C. Maths tutor
3552 Views

Differentiate y=ln(2x^2) with respect to x

Making a substitution for u = 2x^2 Now y = ln(u) dy/dx = du/dx * dy/du du/dx = 4x dy/du = 1/u dy/dx = 4x/u Then substitute 2x^2 back in as u The final answer is 4x/(2x^2) Which can be simplified by divid...

CG
Answered by Catherine G. Maths tutor
5714 Views

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