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Having x(x+4)=y, calculate dy/dx

Considering that x(x+4) = x^2+4x, and having that the derivative of the sum is the sum of the derivatives.

dx/dy x^2 = 2x and dx/dy 4x = 4 , then dx/dy x(x+4) = 2x+4

Answered by Joao A. • Maths tutor

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Simultaneously solve these equations 3x+y=7 and 3x-y=5

Method 1 (Elimination) -

You can see that If you add the 2 equations together you can eliminate the y variable like so 6x=12, then if you divide both sides by 6 you get x=2. Then if you place x=2 b...

Answered by Charlotte B. • Maths tutor

3858 Views

Suppose a population of size x experiences growth at a rate of dx/dt = kx where t is time measured in minutes and k is a constant. At t=0, x=xo. If the population doubles in 5 minutes, how much longer does it take for the population to reach triple of Xo.

2.925 minutes This question involves solving a first order differential equation via the separation of variables and then substituting in initial conditions in order to find a particular ...

Answered by Scott W. • Maths tutor

3101 Views

In one month, Karen takes the bus to school on 25 days. On 5 of these days the bus is late. What fraction of the days Karen takes the bus to school is the bus late? (Give your answer in the simplest form)

1/5 of the days.

Answered by Libby S. • Maths tutor

2778 Views

Find the x coordinate of the minimum point of the curve y = e3x - 6e2x + 32.

To find the minimum point of this curve you need to differentiate y and set it equal to zero before solving for x. If the questions does not say otherwise give your answer to 3 s.f. dy/dx = 3e^3x -12e^2x ...

Answered by Hermione W. • Maths tutor

4655 Views