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Integrate x^2e^x with respect to x between the limits of x=5 and x=0.

This question is to test integration by parts. First let u=x 2 and u'=2x as a result, and v'=e x and so v=e x too. Then use the by parts formula to express the integral as x 2 e x ​​​​​​​-2(integral of):(xe ...
AA
Answered by Alex A. • Maths tutor
6512 Views

Make n the subject of the formula: m = 5n - 21

The answer is: n = (m + 21)/5 How did we get this? Right now, the equation is written in the form where m is the subject. We want to rearrange this so that n is the subject of the formula. The formula should...
JC
Answered by Jabin C. • Maths tutor
20875 Views

What is the turning point on the curve f(x) = 2x^2 - 2x + 4

df/dx = 4x - 2 turning point when differential = 0 ==> 4x = 2 hence; x = 0.5 When x = 0.5 f(x) is equal to (substitute) 3.5 hence the turning point is at (0.5,3.5)
DT
Answered by David T. • Maths tutor
6248 Views

An Island on a map is measured to be 4cm across. The scale of the map is 4cm to 500m. How long is the island in km?

The island is 2km. If the scale is 1cm:500m we need to multiply both left and right sides by 4 to get to the 4cm that was measured. This gets us 4cm: 2000m . We now need to convert 2000m to km which gives us...
DT
Answered by David T. • Maths tutor
3874 Views

A right angled triangle has 2 known sides measuring 3 meters, 4 meters respectively. Find the hypotenuse and the smallest angle in the triangle.

This is an example of a pythagoras. The student has to use the knowledge that the hypotenuse (longest side) is the square root of the sum of the squares of the known sides. In this instance, it would be 4^2 ...
ZM
Answered by Zara M. • Maths tutor
5550 Views