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Vectors a and b are defined by a = 2i + 3j and b = 4i - 2j, find 3a-b in terms of i and j

3a = 6i + 9j

-b = -4i + 2j

3a-b = (6i-4i) + (9j+2j) = 2i + 11j 

PM
Answered by Pearse M. Maths tutor
7321 Views

Find ∫(4x - 2/(x^3)) dx

Using the integer rule 1/ (xn) = x-n question becomes ∫(4x - 2(x-3)) dx

Then using the formula ∫xn dx = (xn+1)/n+1 and assuming there may be a...

PM
Answered by Pearse M. Maths tutor
4319 Views

How to write an algebraic fraction in a given form e.g. (3+13x-6x^2)/(2x-3) as Ax + B + C/(2x-3) where A, B and C are natural numbers

I would break this down into simple steps:

Step 1 - Equate the 2 expressions: (3 + 13x - 6x2) / (2x - 3) = Ax + B + C / (2x - 3)

Step 2 - Multiply both sides by the demoninator: 3...

AT
Answered by Alex T. Maths tutor
3704 Views

Find the derivative of the function f:(0,oo)->R, f(x)=x^x.

The domain of the function allows us to write f(x)=xx  as f(x)=eln(x^x)=ex ln(x) (since ln(x) is defined on (0,oo) only). Using the standard derivati...

AR
Answered by Andrei R. Maths tutor
3073 Views

if you have an isosceles triangle, one angle of 140 degrees what are the other two?

180-140=40 

40/2 =20

each other angle is 20 degrees

DH
Answered by David H. Maths tutor
6299 Views

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