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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 alo...
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Answered by Maria L. • Maths tutor
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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 first digit (1,2,3,4,5,6,7,8,9...
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Answered by XENI D. • Maths tutor
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Solve the simultaneous equations: 2x + 3y = 5 and 3x + 4y = 12

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 = 154. 6x + 8y = 24 No...
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Answered by Quincy O. • Maths tutor
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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 any frac...
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Answered by Isabelle O. • Maths tutor
12794 Views

Where does integration by parts come from?

The best way to do well in maths, is to learn where things come from. Mastering the basics makes everything else much easier! To start, consider the product rule with two functions u(x) and v(x) (using dashe...
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Answered by Tom M. • Maths tutor
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