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Integral between 0 and pi/2 of cos(x)sin^2(x)

The key point in here is noticing that the derivative of sin(x) is cos(x). That way, if we rename sin(x) as u , i.e u:=sin(x), the derivative will be du=cos(x)dx. So, inside the integral, instead of havin...

ML
Answered by Maria L. Maths tutor
4409 Views

What is the derivative with respect to x of the function f(x)=1+x^3+ln(x), x>0 ?

Despite the hideous view, we can apply to this function the same methodology as all the other ones: break it down to pieces. What we mean is that we recognize three terms inside f(x): one is the number 1 ...

ML
Answered by Maria L. Maths tutor
3384 Views

Anne picks a 4-digit number. The first digit is not zero. The 4-digit number is a multiple of 5. How many different 4-digit numbers could she pick?

We know that a digit can be a number between 0 and 9. In this case, the first digit can't be 0, so it has to be a number between 1 and 9. So, we have 9 possible choices for the fi...

XD
Answered by XENI D. Maths tutor
10509 Views

Solve the simultaneous equations: 2x + 3y = 5 and 3x + 4y = 12

  1. 2x + 3y = 52. 3x + 4y = 12
    Firstly, you want to have the same amount of x variables, or y variables. To get the same x, we multiply 1. by 3, and multiply 2. by 2, giving us:
    3. 6x + 9y = 1...
QO
Answered by Quincy O. Maths tutor
6494 Views

How do I make x the subject of the formula?

5x+11=(y+2)/2
Best way to think about this is like its a normal equation where you're trying to find the value of x, just break it down into simple steps. The best thing to do first is to get rid of ...

IO
Answered by Isabelle O. Maths tutor
12095 Views

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