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Solve algebraically the simulations equations: x^2+y^2=25 and y-3x=13

x2+y2=25; y-3x=13; x2+(13+3x)2=25; x2+9x2+78x+169=25; 10x2+78x+144=0; 5x2+39x+72=0; (5x+24)(x+3)=0; x=-24/5 and y=-7...

NC
Answered by Nadia C. Maths tutor
2892 Views

A curve is defined by the parametric equations; x=(t-1)^3, y=3t-8/(t^2), t~=0. Find dy/dx in terms of t.

dy/dx=(dy/dt)*(dt/dx); dy/dt=3+16t-3; dx/dt=3(t-1)2; dt/dx=1/3(t-1)2; dy/dx=(3+16t-3)/3(t-1)2

NC
Answered by Nadia C. Maths tutor
3538 Views

Solve the following equation: x^(3) - 6x^(2) + 11x - 6 = 0

x3 - 6x2 + 11x - 6 = 0
Let (x-a)(x-b)(x-c) = x3 - 6x2 + 11x - 6=> abc = -6 and a + b + c = -6 From abc=-6, find the possibilities of their values: (1,2,...

EH
Answered by Ellie-May H. Maths tutor
6128 Views

How would I differentiate y = 3xy + 2x^2 + x^2y^2 ?

Since this problem contains both xs and ys on the right hand side, we need to use implicit differentiation. This is where we use the chain rule to differentiate with regards to x the terms which contain y...

EO
Answered by Emelia O. Maths tutor
15440 Views

The equation of the line L1 is: y = 5x-4. The equation for line L2 is 2y-10x+16 = 0. Show that these two lines are parallel.

L1: y=5x-4L2: 2y-10x+16=0. Rearranged: 2y=10x-16, y=5x-8 The coefficient of x is the same in both equations when expressed in standard format (5), therefore the lines are parallel.

AW
Answered by Alfie W. Maths tutor
4846 Views

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