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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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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
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A curve has equation y = 3x^3 - 7x + 10. Point A(-1, 14) lies on this curve. Find the equation of the tangent to the curve at the point A.
Firstly, we define a tangent as a straight line touching a curve at 1 point only.We can describe a straight line using this linear relation:y - y₁ = m.(x - x₁)We know a point on this...
JP
Answered by Joshua P. • Maths tutor
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A curve has equation y = (x-1)e^(-3x). The curve has a stationary point M. Show that the x-coordinate of M is 4/3.
(In the following answer, y' denotes dy/dx, i.e. the derivative of y with respect to x, where y is a function of
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Top answers

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)

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

A curve has equation y = 3x^3 - 7x + 10. Point A(-1, 14) lies on this curve. Find the equation of the tangent to the curve at the point A.

A curve has equation y = (x-1)e^(-3x). The curve has a stationary point M. Show that the x-coordinate of M is 4/3.

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