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Solve the following equation, give the answer/answers as coordinates. y=3x^2 , y=2x+5.

>>> 2x+5=3x^2 >>> 3x^2-2x-5=0>>> (3x-5)(x+1)=0>>> x=-1 or x=5/3>>> therefore (-1,3) and (5/3,25/3)
BO
Answered by BUSE O. • Maths tutor
4371 Views

(x-4)^3

=(x-4) 2 (x-4)=(x 2 -8x+16)(x-4)=x 3 -4x 2 -8x 2 +32x+16x-64= x 3 -12x 2 +48x-64
PB
Answered by Pavel B. • Maths tutor
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Find the first derivative of f(x) = tan(x).

First, use the trigonometric identity tan(x) = sin(x) / cos(x) to rewrite the function. It should now be very apparent that f(x) is now actually a ratio of two functions, and therefore the quotient rule will...
HR
Answered by Henry R. • Maths tutor
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2(x^2)y + 2x + 4y – cos (PI*y) = 17. Find dy/dx using implicit differentiation.

This tests the students knowledge of differentiation rules as well as algebraic manipulation. Namely the product rule and implicit differentiation. Differentiate term by term and then isolate dy/dx using alg...
RM
Answered by Robbie M. • Maths tutor
3439 Views

Find the equation of a Circle with centre (2,9) and radius 4.

In the form (x-x1)^2+(y-y1)^2=r^2 Hence equation is: (x-2)^2+(y-9)^2=16
SD
Answered by Salman D. • Maths tutor
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