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Use the substition u = cos(x) to find the indefinite integral of -12sin(x)cos^3(x) dx

We are given the substitution to use, so the first step is to differentiate "u" with respect to x

du/dx = -sin(x)

Now, to replace the "dx&q...

AH
Answered by Arnab H. Maths tutor
8739 Views

Differentiate x^3(sinx) with respect to x

As we are differentiating a product (two things times together) we can use the product rule which is if:

                       y = u(x)v(x)

then

             ...

SC
Answered by Sophie C. Maths tutor
31926 Views

Solve 2x + 10 = 4x + 6

This question require us to rearrange the equation and solve it to find the vale of x.

Firstly we need to make sure all of the x are on one side of the equation. To put all the values of ...

SC
Answered by Sophie C. Maths tutor
7265 Views

How do you calculate the probability P(X < x) for a normally distributed random variable X?

If the details of the distribution - its mean and standard deviation are known, the following transformation applies Z = (X - mean) / stdev where Z is now a random variable distributed as normal(0, 1). No...

JP
Answered by Jonas P. Maths tutor
4234 Views

work out the value of 4a + 2b when a = 4 and b = 3

To solve this question you want to do it step by step.
Firstly replace the 'a' with '4' and calculate the first part of the sum. 4 multiplied by 4, which is 16.
Next replace 'b' with '3' an...

JF
Answered by Joseph F. Maths tutor
31739 Views

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