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Express (9x^2 + 43x + 8)/(3+x)(1-x)(2x+1) in partial fractions.

A/(3+x) + B/(1-x) + C/(2x+1) = (9x^2 + 43x + 8)/(3+x)(1-x)(2x+1)So... A(1-x)(2x+1) + B(3+x)(2x+1) + C(3+x)(1-x) = (9x^2 + 43x + 8)Insert x=1Equation becomes 12B = 60 so B = 5.Then insert x=-3Equation beco...

Answered by Abhik V. • Maths tutor

6003 Views

The recommended price of a ladder is £75. The ladder is sold in 2 shops, one with a 30% discount the other with a discount of 2/9. How much is the discount in the two shops and which is cheaper and by how much? Non-calculator

Shop 1. Ladder is discounted at 30%. 30% = 0.3. 0.3 x £75 = ? £70 x 0.3 = £21.00 £5 x 0.3 = £1.50. Total discount is £22.50. Price for the ladder is £52.50. Shop 2. The discount can be calculated £75/1 x ...

Answered by Aston B. • Maths tutor

2413 Views

Prove that one interior angle of a a regular octagon = 135 degrees

Regular octagon has 6 triangles within it.

Total of interior angles in a triangle = 180 degrees

So the total of interior angles within a regular octagon would = 180 x 6 (=1080).

Answered by Acrisa K. • Maths tutor

9837 Views

Given the parametric equations x = t^2 and y = 2t -1 find dy/dx

The first step is to find dx/dt and dy/dt, this is done using standard differentiation rules giving the resultsdx/dt = 2t dy/dt = 2
The second step is to eliminate dt. This can be done by the mu...

Answered by Matthew H. • Maths tutor

8141 Views

David travels from home to work at 30 mph. At the end of the day, he travels from work back home via the same route at 40 mph. What is his average speed while travelling? (Give your answer as a simplified fraction) (None-Calculator)

First set the distance between home and work as the value x miles.The time takento get from home to work is the value y hours.The time takento get from work to home is the value z hours.Then (as timeis eq...

Answered by David F. • Maths tutor

2929 Views