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Integral of a compound equation (or otherwise finding the area under a graph): f(x) = 10x*(x^(0.5) - 2)

This can be done 'by parts' or by expanding. In this case it would be easier to expand as it is possible to deal with terms individually here.
This becomes: 10xx^1/2- 10x2
...

Answered by Roden D. • Maths tutor

3231 Views

By forming and solving a quadratic equation, solve the equation 5cosec(x) + cosec^2(x) = 2 - cot^2(x) in the interval 0<x<2pi, giving the values of x in radians to three significant figures.

To solve the equation given in the question, we must first express the given equation in terms of only one trigonometric function, i.e. either all in cosec or all in cot. The easiest route would be cosec,...

Answered by Nadia M. • Maths tutor

7913 Views

Can I have help with integrating by parts? I am unsure on how to use the formula.

Integrating by parts is simple. Simply put the equation into two parts, U and dV/dx. When considering which part of the original function will be U and which part will take dV/dx, you should consider whic...

Answered by Milo L. • Maths tutor

2741 Views

A ball is thrown from ground level at an angle of 30 degrees from the horizontal with a velocity of 20 m/s. It just clears a wall with a height of 5m, from this calculate the distances that the wall could be from the starting position.

The first thing to do is draw a diagram to visualise the problem. Next we write down all the information the question gives us as well as which values we want to find. For this question it would be

Answered by Aysha A. • Maths tutor

3452 Views

How do I work out (2+y)^4 using the binomial expansion?

We're going to use the binomial expansion formula, which is a lot easier to remember than it looks:
(a+b)ⁿ=C₀*aⁿ*b⁰ + C₁*a^(n-1)...

Answered by Andrew B. • Maths tutor

2776 Views

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Integral of a compound equation (or otherwise finding the area under a graph): f(x) = 10x*(x^(0.5) - 2)

By forming and solving a quadratic equation, solve the equation 5cosec(x) + cosec^2(x) = 2 - cot^2(x) in the interval 0<x<2pi, giving the values of x in radians to three significant figures.

Can I have help with integrating by parts? I am unsure on how to use the formula.

A ball is thrown from ground level at an angle of 30 degrees from the horizontal with a velocity of 20 m/s. It just clears a wall with a height of 5m, from this calculate the distances that the wall could be from the starting position.

How do I work out (2+y)^4 using the binomial expansion?

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Integral of a compound equation (or otherwise finding the area under a graph): f(x) = 10x*(x^(0.5) - 2)

By forming and solving a quadratic equation, solve the equation 5*cosec(x) + cosec^2(x) = 2 - cot^2(x) in the interval 0<x<2*pi, giving the values of x in radians to three significant figures.

Can I have help with integrating by parts? I am unsure on how to use the formula.

A ball is thrown from ground level at an angle of 30 degrees from the horizontal with a velocity of 20 m/s. It just clears a wall with a height of 5m, from this calculate the distances that the wall could be from the starting position.

How do I work out (2+y)^4 using the binomial expansion?

We're here to help

Company Information

Popular Requests

© MyTutorWeb Ltd 2013–2025

CLICK CEOP

By forming and solving a quadratic equation, solve the equation 5cosec(x) + cosec^2(x) = 2 - cot^2(x) in the interval 0<x<2pi, giving the values of x in radians to three significant figures.