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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
6329 Views

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
2723 Views

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 ...

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Answered by Alex R. Maths tutor
5003 Views

Solve the equation: 2x - 3 = 1/2

First, the denominator of the fraction is 2, so all the terms on both sides of the = have to be multiplied by 2: 4x - 6 = 1 Then you can simplify this by adding 6 to both sides: 4x = 7 And then divide bot...

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Answered by Fae R. Maths tutor
8982 Views

Expand this bracket: 2(3a + 5)

2(3a + 5) :

First you have to multiply everything inside the bracket by the number outside the bracket: = 2 x 3a + 2 x 5 or = (2 x 3a) + (2 x 5)

This can then be simplified to give the answe...

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Answered by Fae R. Maths tutor
11234 Views

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