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Solve for x, between 0 and 360 degrees, 4cos2 (x) + 7sin (x) – 2 = 0

Solve for x, between 0 and 360 degrees, 4cos 2 (x) + 7sin (x) – 2 = 0 The way to approach this problem is to understand the relation that: sin 2 (x) + cos 2 (x) = 1 That equation can be rearranged to give: c...
LZ
Answered by Luke Z. • Maths tutor
12541 Views

Circle C has equation x^2 + y^2 - 6x + 4y = 12, what is the radius and centre of the circle

The equation of a circle is (x-a)^2 + (y-b)^2 = r^2, where (a,b) is the centre of the circle, and r is the radius. To condense our equation into this form we have to use the technique of completing the squar...
HB
Answered by Haren B. • Maths tutor
11652 Views

When finding the turning points of a curve, how can I tell if it is a maximum, minimum or a point of inflection?

To find the turning points of a curve one must find the values of x which satisfy dy/dx = 0. To further determine what type of turning point this is you need to compute the second derivative with respect to ...
BS
Answered by Ben S. • Maths tutor
11740 Views

Express (5x + 4)/(x +2)(x - 1) in partial fractions.

To put this equation into partial fractions we need to consider it in the form: (5x + 4)/(x +2)(x - 1) = A/(x + 2) + B/(x - 1) where A and B are numbers we are trying to find. To do this we need to multiply ...
EW
Answered by Emma W. • Maths tutor
6167 Views

Given the equation 3x^2 + 4xy - y^2 + 12 = 0. Solve for dy/dx in terms of x and y.

Here the key is to remember to differentiate with both x and y with respect to x, where the differential of y is dy/dx. Consider the first term, 3x 2 : This differentiates to 6x. This is done by multiplying ...
EW
Answered by Emma W. • Maths tutor
5241 Views