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Find dy/dx in terms of t of the parametric equations x=4e^-2t, y=4 - 2e^2t

x=4e^-2t, y=4-2e^2t

dy/dx = dy/dt * dt/dx

dy/dt = -4e^2t

dx/dt = -8e^-2t dt/dx = -1/8 * e^2t

dy/dx = (-4e^2t

Answered by Josh M. • Maths tutor

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Core 1 question: Draw the graph "y = 12 - x - x^2"

I always found drawing graphs one of the hardest parts of maths - especially in C1 where you cannot use a calculator to help you. So, I used some simple rules to find key parts of the graph which would si...

Answered by Tess H. • Maths tutor

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Solve x^2 > |5x - 6|

We need to split the problem into two cases to remove the abs sign. Case 1: 5x - 6 >= 0, equivalent to x >= 6/5. In this case the problem is now to find the values of x that satisfy x² &g...

Answered by James H. • Maths tutor

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What is an improper fraction, and how to I make thisproper so that it can be differentiated?

An improper fraction is any fraction where the order of the constant (power of x) is equal or greater in the nuberator than the denominator, take for example;

(x²-3x-2)/(x²-3x...

Answered by Aidan S. • Maths tutor

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1. A small stone is dropped from a height of 25 meters above the ground. i) Find the time taken for the stone to reach the ground ii) Find the speed of the stone as it reaches the ground

i) Let’s first write down, as we always should, what we know and what we are searching for. We know height is 25 meters and we are searching for time, so: ℎ = 25 �� =? This is a case of free fall of co...

Answered by Petar M. • Maths tutor

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