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How do you know if a stationary point on a curve is a maximum or minimum without plotting the graph?

Once you have found the stationary point of the equation by differentiating the equation and equating it to zero. You can then find out if the point you have found is a maximum, minimum or point of inflec...

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Answered by Sam G. Maths tutor
3967 Views

The equation 5x^2 + px + q = 0, where p and q are constants, has roots t and t+4. Show that p^2 = 20q + 400.

We know that if we have a polinomial of the form ax^2 + bx + c = 0, then:sum of the roots = -b/a and product of the roots = c/a Therefore: t + (t + 4) = -p/5 and t(t + 4) = q/5 Therefore: 2t + 4 = -p...

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Answered by Alexandra B. Maths tutor
4267 Views

Solve the simultaneous equations: 3x+5y=19, 4x-2y=-18

For all simultaneous equations it is useful to number each one to keep your working clear and concise. In order to solve this we need to eliminate one of the variables (x or y) by manipulating the equatio...

BW
Answered by Ben W. Maths tutor
8438 Views

If 5x + 3y = 27 and 6x - 2y = 10, find x and y

5x + 3y = 27 (1)6x - 2y = 10 (2)Rearrange (1) to make x the subject.Subtracting - 3y from both sides gives5x = 27 - 3yDivide both sides by 5 givesx = (27 - 3y)/5Substitute (1) into (2) gives6(27 - 3y)/5 -...

TA
Answered by Thomas A. Maths tutor
3324 Views

What is the balance of payments?

Current accountThe balance of payments plus net investment incomes from overseas assets and net transfersBalance of trade in goods: the difference between imports and exports of goods in the primary and s...

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Answered by Arron T. Economics tutor
2084 Views

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