Top answers

Maths
All levels

Let y(x) be a function with derivative y'(x)=x^2-2 and y(0) =7. What is the value of y at x = 3?

Integrate to get y(x) = (1/3)x^3 -2x+c where c is a constant. Substitute in our data 7 =y(0) = (1/3)(0)^3 -2*(0) +c = c. So y(x) =(1/3)x^3 -2x+7 and therefore y(3) = (1/3)(3)^3 -2*3 +7 = 9-6+7 = 10

DB
Answered by Dawn B. Maths tutor
3850 Views

Find the area bounded by the curve x^3-3x^2+2x and the x-axis between x=0 and x=1.

To find the area under a curve that is bounded by the x-axis you simply need to integrate the equation of the curve between the limits, so for this equation we will integrate y=x3-3x2

JT
Answered by Jack T. Maths tutor
13278 Views

Differentiate ln(x^3 +2) with respect to x

The differential of ln(x) is x^-1 or 1/x. Because we have x^3 + 2 inside the bracket we have to differentiate this term also and multiply this with the other term. For example, d/dx of x^3 +2 is equal to ...

GL
Answered by George L. Maths tutor
3758 Views

A curve is defined by the parametric equations: X = 3 – 4t , y = 1 + (2/t) Find (dy/dx) in terms of t.

When dividing fractions by fractions with a common factor:

(a/c) / (b/c) = (a/c) * (c/b) = (ac/bc) we can cancel the common factor to get (a/b).

So in this question we can do the same:

<...
EE
Answered by Eddie E. Maths tutor
5172 Views

How would you work out the price of a trip if it is usually £24 but a man has a railcard that gives him 30% off?

In order to work out 30% off something you can use two methods. I'll explain both.

Method one:

  1. Work out 30% of the total price. This would be the same as working out 10% (dividing by 1...
CT
Answered by Chloe T. Maths tutor
2952 Views

We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences