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How would you find the coordinates of the intersections of a graph with the x and y axes, and the coordinates of any turning points?

Take the graph y = x2 - 2x + 5 for example:
In order to find the intersection with the y axis, set the x values in the equation equal to 0 as this is where the graph would cross the y axi...

Answered by Simeon Y. Maths tutor
11666 Views

Dan works 5 days a week. Is it cheaper to use car or bus? Bus weekly ticket = £19.50. Car drive is 24.2 miles, car does 32.3 miles per gallon of petrol, which costs £1.27 per litre. Use 1 gallon = 4.5 litres

Work out how many miles Dan does in a week if he drove. 24.2 x 5 = 121Work out how many gallons of petrol this would be. 121/32.3 = 3.746130031Convert into litres. 3.746130031 x 4.5 = 16.85758514Work out ...

Answered by Emily J. Maths tutor
2573 Views

Solve:

x2 + y2 = 25 ...

Answered by Bandana J. Maths tutor
2513 Views

y = x^3 ln x. Find dy/dx

dy/dx = u.dv/dx + v.du/dxu = x3, v = ln xdu/dx = 3x2, dv/dx = 1/xdy/dx = 3x2 lnx + x2

Answered by Tarun U. Maths tutor
12652 Views

Expand the following : (2x+3)(x-1)

We multiply the 2x in the first bracket by everything in the second bracket to give: 2x2-2xWe then multiply the 3 in the first bracket by everything in the second bracket to give: 3x-3Putting 2...

Answered by Samuel S. Maths tutor
2553 Views

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