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A right-angled triangle has base 10cm and height 4cm. What is the area of the triangle?

The first thing we should note here is that we are looking for the area, so we need to recall the formula for the area of a right-angled triangle: Area = (base x height) / 2 Next we can input our values give...
KS
Answered by Kirsty S. • Maths tutor
14477 Views

Use the chain rule to differentiate y=(x-3)^(-3)

Hint: the chain rule states that for y=u(x) ^a, the derivative will be dy/dx = dy/du * du/dxSo we just need to find dy/du and du/dx!In this case u(x)=x-3, so du/dx = 1.from y=u^(-3), dy/du = -3u^(-4).This me...
RT
Answered by Rosemary T. • Maths tutor
5853 Views

Solve the inequality x < 4 - |2x + 1|.

In order to deal with the modulus sign, we must take account of 2 possible cases: Case 1: |2x + 1| = (2x +1). In this case we can solve algebraicly, preserving the inequality sign, to get that x &lt; 4 -(2x ...
JC
Answered by Joe C. • Maths tutor
8646 Views

Find the exact value of the gradient of the curve y = e^(2- x)ln(3x- 2). at the point on the curve where x = 2.

To solve this problem, we must first differentiate: Identify that we are able to use the product rule as our expression is of the form y = f(x)g(x) where f(x) = e^(2- x) and g(x) = ln(3x- 2). Hence f'(x) = -...
JC
Answered by Joe C. • Maths tutor
10719 Views

how do integrate an equation with a surd or a fraction?

most people are immediately confused when they see a surd or a fraction because they find it hard to apply the rule of integration directly to them. however it is not as complicated as it looks. all that nee...
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Answered by Abdullah D. • Maths tutor
10887 Views