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X^2 - 4y = -8 y=3

X^2 - (4*3) + 8 = 0 X^2 -4 = 0 X^2 = 4 X = 2
TH
Answered by Tom H. • Maths tutor
3467 Views

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

For a simple integration like this, begin by expanding the brackets to get 2x 3 -6x 2 +4x-12. Next each term should be integrated with respect to x, begin with the first term, each peer should be raised by 1...
NB
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: -The drive needs to be paved with a single layer of bricks -The drive is a square with length of 2m -E...
TD
Answered by Tutor195051 D. • Maths tutor
3286 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: 9...
DT
Answered by Daniel T. • Maths tutor
4327 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 = 4 x^3 - 4 xThe 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 sub in the v...
MW
Answered by Matthew W. • Maths tutor
6185 Views