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b) The tangent to C at P meets the coordinate axes at the points Q and R. Show that the area of the triangle OQR, where O is the origin, is 9/(3-e)

If I were to get the job, I would get a writing board to help explain this. But to approach this question, it's a good idea to draw the graph. You know that the tangent line is a straight line and as the x a...
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Answered by Sophie H. • Maths tutor
5598 Views

A scalene triangle has base of 5cm. The angle opposite to the base is 63°, and a second angle is 72°. Find the area of the traingle

Using the sine rule it's possible to find the length opposite to the 72° angle. Therefore: 5/(sin63)=x/(sin72) x=5sin(72)/sin(63)=5.34 At this point, the third angle is needed. Since a triangle has a total s...
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Answered by Alessandro L. • Maths tutor
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The curve C has the equation y = 2e^x -6lnx and passes through the point P with x - coordinate 1. a) Find the equation to the tangent to C at P

y = (2e-6)x + 6
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Answered by Sophie H. • Maths tutor
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Katie, Jackie and Charlie bake cookies. Katie has baked 8 more cookies than Charlie. Jackie has baked 5 more cookies than Katie. Altogether they have baked 72 cookies. How many cookies did Jackie bake?

K = C + 8 → C = K - 8 J = K + 5 J + K + C = 72 (K + 5) + K + (K - 8) = 72 3K - 3 = 72 3K = 75 K = 25 J = 25 + 5 = 30 C = 25 - 8 = 17
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Answered by Ina J. • Maths tutor
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What is the chain rule? when do I have to use it?

The chain rule is the technique used for differentiation when the equation you're trying to differentiate contains a function of a function. Consider ln(x). You should know this differentiates to 1/x. If how...
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Answered by Alex R. • Maths tutor
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