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Sketch the function (x^4 + 2x^3 - x -2)/(x+2)

First of all determine the range of the function by looking at its denominator. The function is defined at each point except x=-2 Now to find the zeros of the function first factorise it and equate it to zer...
MD
Answered by Matteo D. • Maths tutor
3386 Views

Find the equation of the tangent for x = 2cos (2y +pi)

So this initially looks like a tricky question- especially the way it is written in the form of x as a function of y, ( x(y) ), rather than what we normally see y as a function of x, ( y(x) ).The first thing...
TM
Answered by Tonia M. • Maths tutor
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Solve the simultaneous equations 3x + y = –4 and 3x – 4y = 6

Label first equation as equation 1 and the second as equation 22) Make y the subject of the equation from equation (1); hence: eq 1 : y = -4 -3x3) Substitute the new equation into equation (2) : 3x- 4(-4-3x)...
MI
Answered by Munachi I. • Maths tutor
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Why is sin(t)^2 + cos(t)^2 = 1 true for all t?

To answer this we need to consider a circle of radius r centred at the origin, drawn in the x,y plane. We'll draw a right-angled triangle such that the hypotenuse is the radius, and say that the point where ...
MV
Answered by Matt V. • Maths tutor
4015 Views

(a) Use integration by parts to find ∫ x sin(3x) dx

The question asks for integration by parts. Therefore we need to differentiate one variable and integrate the other. First we need to decide which variable is going to be which. Algebra should always be diff...
GA
Answered by George A. • Maths tutor
8857 Views