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Integrate y= x^3+3x^2-4x-7 between x values 1 and 3

Firstly, integrate y with respect to dx. Increase the powers of x by 1 and then divide the coefficient of x by the new power of x. I.e.: x^3 becomes 1/4x^4. The power increases from 3 to 4 and the coefficien...
LA
Answered by Louis A. • Maths tutor
3501 Views

Given the functions f(x) = (x + 2)/9 and g(x) = x^3 + 6, find fg(x).

Firstly, fg ( x ) could be written as f[g ( x )], or in other words, the function f acts on the result of x going through the function g (Bear in mind that I'm using the square brackets only because it's eas...
JJ
Answered by Josh J. • Maths tutor
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What is proof and how does it work?

'Proving' something mathematically means showing that it is true for all possible cases. Therefore it isn't sufficient to simply give a lot of examples of a formula or test working; you need to find a way to...
CB
Answered by Cameron B. • Maths tutor
4572 Views

ABD is a triangle, C lies on BD. AD=BD=√2/2 and CD=√3/3. Find the EXACT area of ABC. (all measurements are in cm)

Formula/ Facts you may need for this question: !!! area of a triangle = base * height * 0.5 !!! multiplying fractions = nominators multiplied over denominators multiplied Step 1: whole triangle area ABD = √2...
HO
Answered by Holly O. • Maths tutor
9194 Views

How do we use the Chain-rule when differentiating?

The Chain-rule is used to differentiate a function of a function. Running through an example:Let's say want to differentiate the function y = (2x+1)^3. We can substitute a variable, w, in order to differenti...
HR
Answered by Hira R. • Maths tutor
4815 Views