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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...

Answered by Maths tutor
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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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A tall 2 meter tall basketball player shoots for the net that stands 3 meters from the ground. If he throws he ball from head height at an angle of 60 degrees and the ball travels at 10 meters per second, how far away is the hoop?

By taking the initial vertical speed as vv = 6 sin(60) = 5.2 ms-1.The max height of the ball is given by vv2 = uv2 + 2as. From this, s = 1...

HG
Answered by Honi G. Physics tutor
2822 Views

"A potential site for social disruption... a medium for the message of disent." Discuss with reference to Shakespeare's 'Twelfth Night'

IntroWriting in the Elizabethan period, Shakespeare explores several 'site[s] for social disruption' in his play 'Twelfth Night', written in 1602. These include the rigid social hierarchy, the constrai...

AG
3990 Views

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
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