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How do you find the x co-ordinates of the stationary points of a curve with the equation y = 10x - 2x^2 - 2x^3

First to find the stationary points, you have to differentiate the equation of the curve y, to give you (dy/dx) = 10 - 4x - 6x^2After differentiating the equations, the points at which the curve is stationar...
DM
Answered by David M. • Maths tutor
3673 Views

The fifth term of an arithmetic sequence is equal to 6 and the sum of the first 12 terms is 45. Find the first term and the common difference.

Arithmatic term n, Un= U1+(n-1)d. Where U1 is the first term of the sequence and d is the common difference. U5=U1+4d=6. U1=6-4d. Sum of arithmatic terms up to term n, Sn=n/2(2U1+(n-1)d). S12=12/2(2(6-4d)+(1...
JS
Answered by Jasmin S. • Maths tutor
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Integrate 2x^5 + 7x^3 - (3/x^2)

Integrating x n gives you x n+1 /(n+1).Integral of 2x 5 is 2x 6 /6 = x 6 /3. The integral of 7x 3 is 7x 4 /4.-(3/x 2 ) can be rewritten as -3x -2 . Therefore the integral is -3x -1 /-1 = 3x -1 = 3/x. As it i...
AP
Answered by Alexander P. • Maths tutor
4719 Views

A scalene triangle has 3 angles ABC in degrees, where A = (3x + 7), B = (4x + 5), C = (x + 8). Find the value of largest angle.

Equate all the angles to 180 degrees.3x+7+4x+5+x+8=1808x+20=1808x=160Therefore, x=20 .Hence, A =3(20)+7= 67B =4(20)+5= 85C =20+8= 28 Therefore the largest angle is B.
AP
Answered by Alexander P. • Maths tutor
4013 Views

What do you think are your stenghts and weaknesses?

My Strengths are: I have good analytical skillsI am very good with time keepingI am very organised Weaknesses:I find that when given a task, i tend to ask a lot of questions. This is because i want to get it...
BS
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