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Calculate the gradient of the function y=x^2+6x when y=-9

-9=x^2+6x 0=x^2+6x+9 0=(x+3)(x+3) when y=-9 x=3 dy/dx=2x+6 dy/dx=2(3)+6=12
HM
Answered by Hassan M. • Maths tutor
5526 Views

Solve the following equation; 8x-2 > 4x +6

First of all we need to get all of the x's on one side and all the numbers on the other side. Therefore to do this firstly we should add 2 to both sides. 8x > 4x +8 Secondly we need to -4x from both sides...
RD
Answered by Rory D. • Maths tutor
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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
20380 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
6154 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
2161 Views