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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

Answered by Maths tutor
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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 ...

Answered by Maths tutor
3290 Views

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 ...

AS
Answered by Amy S. Maths tutor
6966 Views

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...

JP
Answered by James P. Maths tutor
3991 Views

Solve the equation sin2x = tanx for 0° ≤ x ≤ 360°

sin2x = tanx Take everything to left hand side, so LHS equals 0sin2x - tanx = 0Recall double angle formula : sin2x = 2sinxcosx, also notice that tanx can be written as sinx/cosx givi...

SM
Answered by Shea M. Maths tutor
18891 Views

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