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Find the area of the region, R, bounded by the curve y=x^(-2/3), the line x = 1 and the x axis . In addition, find the volume of revolution of this region when rotated 2 pi radians around the x axis.

As we are looking to find the area under a curve we can use integration . The area under a curve with equation y = f(x), bounded by the lines x = a and x = b and the x axis can be expressed as:A = integral (...
HF
Answered by Henri F. • Maths tutor
9255 Views

Write down two reasons for using statistical models

There are many reasons for using statistical models. Some examples include: 1) To simplify a real world problem To improve understanding and describe a real world problem, for example understanding the relat...
LD
Answered by Laura D. • Maths tutor
12823 Views

The triangle ABC is such that AC=8cm, CB=12cm, angle ACB=x radians. The area of triangle ABC = 20cm^2. Show that x=0.430 (3sf)

From the equation of the area of a triangle, Area = 1/2 AC CB sin(C) 20 = 1/2 * 8 *12 * sin(x) => sin(x) = 0.416666... => x = 0.430 to 3sf
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Answered by Laura D. • Maths tutor
7765 Views

A bag contains 12 bals of different colours: 5 red, 4 blue and 3 yellow. What is the probability of not selecting a red ball

The probability of an event not happening is 1 minus the probability of the event happening. Five of the twelve balls are red so the probability of selecting a red ball is 5/12. The probability of not select...
LD
Answered by Laura D. • Maths tutor
9922 Views

How to find the coordinates of the turning points of a curve on a graph

The turning point of a curve occurs when the gradient of the line = 0The differential equation (dy/dx) equals the gradient of a line. Therefore in this case the differential equation will equal 0.dy/dx = 0Le...
CG
Answered by Charlotte G. • Maths tutor
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