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how to turn a fraction in the form of (x + a)/(x + b)^2 into partial fractions?

Many students at first will incorrectly separate the fraction into two fractions in the form of A/(x + b) + B/(x + b). If we then multiplied the two back together we will find that it does not equate to the ...
IC
Answered by Isla C. • Maths tutor
3336 Views

A train travels for 240 minutes to travel a distance of 220 miles. Assuming the trains speed is constant, what is the train's speed in miles per hour?

For this we require the distance-speed-time triangle which is defined as follows:speed = distance/time.However for the we need to convert the time into hours as that's what the question requires.there is 60 ...
CD
Answered by Cameron D. • Maths tutor
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Prove that (root)2 is irrational

The part of syllabus covered by this question is proof by contradiction. Consequently, in order to achieve a contradiction, you can assume that root2 is rational and thus expressed as a/b where a and b are c...
WT
Answered by Wynn T. • Maths tutor
8332 Views

How do I find the minimum turning point of a parabola?

1.differentiate the equation using the rule: y=x n , dy/dx= nx n-1 2.set dy/dx to =0 as this is where a minimum point occurs (where the gradient of the graph is = 0)3.solve for x4.then, to find the y coordin...
FN
Answered by Felix N. • Maths tutor
3567 Views

Express x^2+4x-12 in the form (x+a)^2 +b by completing the square.

Completing the square of a function is sometimes used to find the stationary points on a curve, and also to solve when equaling zero. To complete the square firstly we have to halve the middle value of the p...
IB
Answered by Imogen B. • Maths tutor
7386 Views