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What is 25% of 400?

25% = 0.25 or also one fourth of the total. Therefore if you divide 400 by 4, this equals 100. One fourth of 400 is 100.
MM
Answered by Michelle M. • Maths tutor
22791 Views

For a curve of gradient dy/dx = (2/(x^2))-x/4, determine a) d^2y/dx^2 b) the stationary point where y=5/2 c) whether this is a maximum or minmum point and d) the equation of the curve

a) Differentiating gives d 2 y/dx 2 =-4x -3 -1/4 b) Let dy/dx=0 and rearrange to find x=2 c) Inserting x=2 into d 2 y/dx 2 =-4x -3 -1/4 will show that d 2 y/dx 2 is smaller than zero so this is a maximum sta...
KM
Answered by Katie M. • Maths tutor
6308 Views

How does Euclid's algorithm give solutions to equations?

Euclid's algorithm is really useful to be able to, firstly, see if two numbers are co-prime, in other words to see if they share any common factors, but also to find solutions to equations. Say we have two i...
AR
Answered by Abby R. • Maths tutor
2302 Views

Expand (x+2)(x-3)(x+4)^2

(x+2)(x-3)(x+4)^2 = (x^2 - x - 6)(x^2 + 8x + 16) = (x^4 + 8x^3 +16x^2 - x^3 - 8x^2 -16x - 6x^2 - 48x - 96) = x^4 +7x^3 + 2x^2 - 64x - 96)
RG
Answered by Roisin G. • Maths tutor
3579 Views

Find ∫ ( 2x^4 - 4x^(-0.5) + 3 ) dx

When integrating, you need to add one to the power and divide the term by the power. We will consider each term individually, 2x 4 will become (2x 4+1 )/(4+1) = (2x 5 )/5, -4x -0.5 will become (-4x -0.5+1 )/...
RM
Answered by Rebecca M. • Maths tutor
7617 Views