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Maths
A Level

Solve ln(2x-3) = 1

eln(2x-3) = e1
2x-3 = e
x = (e+3)/2

Answered by Jonathan C. Maths tutor
4964 Views

Find all solutions to the trig equation 2sin(x)^2 + 3sin(x) - 2 = 0 in the range 0 <= x <= 360 degrees

Assuming knowledge of solving regular quadratic equations.Treat this as a regular quadratic equation, except it is in terms of sin(x) instead of just x as you might be used to.So using the quadratic equat...

Answered by Toby M. Maths tutor
3853 Views

Differentiate the equation y^2 + y = x^3 + 2x

To answer this question you must use implicit differentiation due to there being both x and y terms. Consequently you must differentiate each term individually as you would usually (by multiplying by the ...

Answered by Daisy W. Maths tutor
2859 Views

solve the simultaneous equation; x^2+y^2=10 2x+y=5

When dealing with a linear and quadratic simultaneous equation, it is best to use subsitution to approach it.I take the linear equation and put it in terms of one variable. In this case, to avoid fraction...

Answered by Sinead O. Maths tutor
5340 Views

A curve has equation y = 20x −x^2 −2x^3 . Find its stationary point(s).

Differentiate the equation.Let the derivative equal to 0 and get x.Substitute the value of x into the original equation to get y.

Answered by Ruonan L. Maths tutor
4698 Views

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