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Given that the graph f(x) passes through the point (2,3) and that f'(x)=6x^2-14x+3, find f(x).

For this question we already have the derivative of f(x), and so if we integrate it we should get to a general equation with a constant on the end, however we want to get to an exact solution which we sho...

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Find the surface area of a hand held fan (modeled with negligible depth) with radius 8 cm and a 60 degree angle at the centre

60 degrees = π/3 radians
A = 1/2r²θr = 8θ = π/3
1/2 x 8² x π/3 = 33.5103216... cm²33.5103216... x 2 = 67.0 cm²

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How do I differentiate (x^2 + 3x + 3)/(x+3)
In order to differentiate this fraction, you will need to use the quotient rule, which if you don't remember is:
y = u/v then dy/dx = (vdu/dx − u dv/dx)/ v^2)
First you need to identify ...
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The line, L, makes an angle of 30 degrees with the positive direction of the x-axis. Find the equation of the line perpendicular to L, passing through (0,-4).
What is the question asking us? -To find the equation of a straight line, and to do that we need two pieces of information, what are they? 1. the gradient of the line and 2. a point on the line. Now from ...
Answered by Amy S. • Maths tutor
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How do I apply the four operations to Fractions?
When using the four operations (addition, subtraction, multiplication and division) on fractions there are specific methods for each. Multiplication and division are very similar. In order to multiply two...
Answered by James P. • Maths tutor
3707 Views

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Given that the graph f(x) passes through the point (2,3) and that f'(x)=6x^2-14x+3, find f(x).

Find the surface area of a hand held fan (modeled with negligible depth) with radius 8 cm and a 60 degree angle at the centre

How do I differentiate (x^2 + 3x + 3)/(x+3)

The line, L, makes an angle of 30 degrees with the positive direction of the x-axis. Find the equation of the line perpendicular to L, passing through (0,-4).

How do I apply the four operations to Fractions?

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