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Express x*2 + 10x - 3 in the form (x+p)*2 + q

Step 1 - half the "x" coefficient = +5 Therefore p = +5 and place in brackets (x+5)2Step 2 - square the value of p and subtract 5*2 = 25 (x+5)2 - 25Step 3 - add the numbe...

CS
Answered by Chloe S. Maths tutor
4608 Views

£X was invested for 5 years, earning compound interest of 2% per year. After 5 years the total value of the investment was £11,040.81. How do I calculate the value of the invested amount £X?

We know that to calculate the final value V of an investment of £X after t years, earning an interest rate of r

VP
Answered by Vishal P. Maths tutor
3757 Views

Simplify fully (y+3)^2

Firstly expand the brackets to make (y+3)(y+3)Next I find it easy to remember that you don't times anything together that's in the same bracket when expanding. So - y x y = y^2y x 3 = 3y3 x y = 3y3 x 3 = ...

LC
Answered by Laura C. Maths tutor
5425 Views

How do I use product rule when differentiating?

Problems like this usually look something like: Find the differential of (x2 e2x). The product rule is used when we have to differentiate two different functions multiplied by eachot...

JK
Answered by Jasvir K. Maths tutor
3249 Views

In the case of vectors, how do I find the shortest distance between a point and a line?

The key word in the question is 'shortest'. The shortest distance from a point to a line is always the perpendicular distance. If we calculate the appropriate angles and lengths/distances, we can use trig...

SK
Answered by Saskia K. Maths tutor
6015 Views

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