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If A is divided by B, the result is 5/7. If B is divided by C, the result is 4/5. What is the result of A divided by C ?

A=5 when B=7, B=4 when C=5. (Using Ratios, 5:7 & 4:5) Knowing the relationship between both A & C with B means that we can find the relationship between A&C themselves. (A=5, B=7)*4 ; A=20 when B...
IA
Answered by Inez A. • Maths tutor
3599 Views

Show, by first principles, that the differential of x^2 is 2x.

First I would draw a Diagram of y=x 2 on the x and y plane, for x>0. Then label a generic point as (x,y), then noting that as y=x 2 we can then equate the sane point to (x, x 2 ). Then I would note that a...
KJ
Answered by Kieren J. • Maths tutor
3919 Views

Solve the simultaneous equation: 2x + y = 18 and x−y=6

Check to see if the number in front (coefficient) of either the x's or y's is the same. In this case both the y's have the same coefficient so we do not need to make them the same.We are going to add the par...
CK
Answered by Chelsea K. • Maths tutor
5119 Views

Find the stationary points of the function f(x) = x^3+6x^2+2 and determine if they are local maximums or minimums.

A stationary point is defined as a point on the function where the gradient is zero, i.e f'(x) = 0 . To construct this equation we must differentiate the function, we would find f'(x) = 3x 2 +12x . The corre...
LS
Answered by Luke S. • Maths tutor
5788 Views

How do I find the roots of a quadratic equation?

A quadratic equation has the form ax 2 + bx + c Our goal is to find values of x such that ax 2 + bx + c = 0These values of x are known as the "roots" of the quadratic. Exercise: Find the roots of x...
ZT
Answered by Zach T. • Maths tutor
3592 Views