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Given that f(x)=6x+4 and g(x)=3x^2+7, calculate g of f, for x=2.

First to make it easier you can convert ( g o f)(x) to g (f(x)) so that it is more clear.All you need to do is input function f into the function g in the place of "x - the unknown ".Therefore, sin...
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Answered by Aniela B. • Maths tutor
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Solve the equation sec^2(x) - 4tan(x)= -3 , 0 ≤x≤ 2π

To solve this problem, we have to look at some trig. identities that will help us simplify the problem.The formula booklet is always a great place to start! You can find that sec^2(x) = 1 + tan^2(x). Substit...
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Answered by Patrick H. • Maths tutor
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integrate arcsin(x)

Use integration by parts to obtain:u=arcsin(x), u'=1/(1-x 2 ) 0.5 , and v'=1, v=x Using the equation: integral of uv' = uv - integral of u'vintegral of arcsin(x) = xarcsin(x) - integral of x/(1-x 2 ) 0.5 Use...
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Answered by Maya G. • Maths tutor
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What method of series convergence test is the correct test?

There are 4 different types of series to be aware of: geometric, p-series, alternating, and series greater than 0.If the limit of the series is a non-zero value then the series divergesIf the series is geome...
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Answered by Maya G. • Maths tutor
1641 Views

Integrate cos(2x)sin(2x)

dy = sin(2x)cos(2x) dxlet u = sin(2x)du/dx = 2cos(2x)dx = du/2cos(2x)dy = (cos(2x)/2cos(2x))dudy = du/2y = u/2y = sin(2x)/2
Answered by • Maths tutor
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