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Solve ln(2x-3) = 1

e^ln(2x-3) = e¹
2x-3 = e
x = (e+3)/2

5594 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

4496 Views

Expand and simplify 3 (y + 4) - 2 (4y + 1)

3 (y + 4) - 2 (4y + 1)= 3y + 12 - 8y - 2= (3y - 8y) + (12 - 2)= 10 - 5y

Answered by Rachel J. • Maths tutor

3490 Views

Draw the graph y=tanx in the region -180 degrees =< x =< 180 degrees

This answer would be best shown using a diagram. However you must ensure that the graph crosses the x axis at -180, 0 and 180 degrees. Moreover it is also necessary that the student has included asymptote...

Answered by Jack J. • Maths tutor

4451 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

3279 Views