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Maths
A Level

A circle C with centre at the point (2, –1) passes through the point A at (4, –5). Find an equation for the circle C.

You would start with this equation (x – a)2 + (y – b)2 = r2, with the center being at the point (a, b) and the radius being "r". Therefore you would have (x-2)

IN
Answered by Ishan N. • Maths tutor
5547 Views

Find the indefinite integral of cos^2 x

First, we need to write cos2x in a form that is easily integrable. We can use the double angle formula cos(2x) = 2cos2x - 1 to see that cos2x = 1/2cos(2x)+1/2. Now, we can...

ER
Answered by Ethan R. • Maths tutor
9281 Views

The point A lies on the curve with equation y=x^0.5. The tangent to this curve at A is parallel to the line 3y-2x=1 . Find an equation of this tangent at A. [5 marks]

Differentiate equation

dy/dx=0.5*x-0.5

Gradient is the same as the second equation

2/3=0..5*x-0.5 

Solving this ...

AM
Answered by Arnold M. • Maths tutor
6384 Views

Differentiate (4x+9)^3

(3*4)(4x+9)^(3-1)

Where 4 is the derivative of inside the brackets and 3 is the power of the brackets.

Therefore the answer is 12(4x+9)^2

AT
Answered by Alexander T. • Maths tutor
4987 Views

If z1 = 3+2i, z2= 4-i, z3=1+i, find and simplify the following: a) z1 + z2, b) z2 x z3, c)z2* (complex conugate of z2), d) z2/z3.

(a) For part a, simply add the real terms together and the imaginary terms together. z1+z2 = (3+2i)+(4-i) = 7+i b).     

(b) For part b, multiply the brackets out, remembering...

JS
Answered by Jaspa S. • Maths tutor
13703 Views

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