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Calculate the shaded finite region between the curve and the axis for the curve: 3x^2 +11x -4 = 0

3x 2 +11x-4=0 #Factorise to find where the curve crosses the x axis (3x-1)(x+4)=0 #Each bracket equals 0 x=1/3, -4 #Integrate the curve between these two points to find the area enclosed in the curve [x 3 + ...
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Answered by Hugo F. • Maths tutor
3889 Views

Solve the simaltaneous equations: 3x + 4y = 10, 2x + 3y = 7

Solving by elimination 1. multiply the equations by a number so that the number in front of either x or y is the same for both equations: 3x + 4y = 10 (X2) --> 6x + 8y = 20 2x + 3y = 7 (X3) --> 6x + 9y...
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Answered by Sarah T. • Maths tutor
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Solve 3(2x + 5) = 4 – x

The first thing to do in this problem is to expand the brackets. This means we times whatever is in the bracket by the number on the outside, in this instance the number is 3. We do not worry about the right...
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Answered by Brandon R. • Maths tutor
13322 Views

Show that 3/8 divided by 7/12 = 9/14

When dividing by a fraction, it is actually a multiplication. All you need to do is flip the second fraction over. This is known as the reciprocal. In this example the fraction we want to flip is 7/12. Flipp...
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Answered by Brandon R. • Maths tutor
13656 Views

This is a sequence: 2,4,7,11,16. Find the Nth term

1/2n 2 + 1/2n + 1 This is a hard one and maybe closer to a maths challenge question. It is easier to explain in person. First common difference is 1 then 2 then 3 and so on. The second common difference is 1...
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Answered by Zia F. • Maths tutor
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