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Integrate (x^2 +2)(2x-6) with respect to x.

For a simple integration like this, begin by expanding the brackets to get 2x³-6x²+4x-12. Next each term should be integrated with respect to x, begin with the first term, each peer ...

Answered by Nicholas B. • Maths tutor

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James has a short drive to his garage which he wishes to pave with a single layer of bricks. If his square drive has side length 2m and James buys the bricks in stacks of 10 with each brick being 0.2m long and half as wide how many stacks must James buy?

There's a lot of information to take on in this question so it's firstly important to isolate the facts: ...

Answered by Tutor195051 D. • Maths tutor

2510 Views

Solve the following simultaneous equations: x+y=9; x-2y+1=1.

Step 1: x+y=7 can be rearranged as: x= 9 - y.Step 2: We substitute the expression of x in the second equation: 9 - y - 2y + 1 = 1Step 3: We calculate the value of y. 9 + 1 - 1- 3y=0. It is equivalent with...

Answered by Daniel T. • Maths tutor

3321 Views

Find the coordinates of the stationary points for the curve y = x^4 - 2*x^2 + 5.

First solve to find dy/dx.dy/dx = 4x^3 - 4xThe stationary points occur when dy/dx = 0. Solve the equation to find the values of x for when dy/dx = 0.4x(x^2 - 1) = 0 x = 0, x = 1, x = -1Finally su...

Answered by Matthew W. • Maths tutor

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120 men and 80 women were asked if they drive to work. Altogether 1/4 of people said yes. And a 1/3 the of men said yes. What fraction of women said yes?

Step 1- Workout how many people overall said yes.
We Know overall there are 200 people and of these 200 people 1/4 said yes. Therefore, we need to workout 1/4 of 200. Simply divide 200 by 4. 200/4=5...

Answered by Harry R. • Maths tutor

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