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If f(x)=(x^3−2x)^5 , find f'(x).

f(x)=(x³-2x)⁵
If we look at this function, we can see that it can be split into two functions, one hiding in the other one. Because of that, to solve this problem we will need t...

Answered by Radovan S. • Maths tutor

5190 Views

What is the indefinite integral of xlog(x)?

The integral can be split into two different functions of x which is a hint that we must use the integration by parts method. The method is defined as

Answered by William H. • Maths tutor

4057 Views

Solve the following simultaneous equations: x^2 + y^2 = 29 and y - x =3
This question is slightly trickier than normal simultaneous equations, because we have values to the power of 2. What we can do is make either y or x the subject of the 2nd equation (y-x = 3). For this ex...
TD
Answered by Trushna D. • Maths tutor
3450 Views

Using the binomial theorem, find the coefficient of x^4*y^5 in (x-2y)^9.
The term containing x⁴y⁵ will be C(9, 5)x⁴(-2y)⁵ = (9!/(5!4!))x⁴(-2)⁵y⁵The coefficient of which will be 1...
GH
Answered by George H. • Maths tutor
3353 Views

There are 48 girls in a large cheerleading squad. The ratio of girls to boys in this squad is 8:3. How many boys are in the squad?
There are (48/8)*3=18 boys. Since the ratio of boys to girls is 8:3 you divide the number of girls by 8 which gives 6 and then multiply by 3 to give the number of boys.

GH
Answered by George H. • Maths tutor
2705 Views

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Top answers

If f(x)=(x^3−2x)^5 , find f'(x).

What is the indefinite integral of xlog(x)?

Solve the following simultaneous equations: x^2 + y^2 = 29 and y - x =3

Using the binomial theorem, find the coefficient of x^4*y^5 in (x-2y)^9.

There are 48 girls in a large cheerleading squad. The ratio of girls to boys in this squad is 8:3. How many boys are in the squad?

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