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y=20x-x^2-2x^3. Curve has a stationary point at the point M where x=-2. Find the x coordinate of the other stationary point of the curve and the value of the second derivative of both of these point, hence determining their nature.

Differentiate to get dy/dx=20-2x-6x^2Then stationary points occur when dy/dx = 0 so 0 = 20-2x-6x^2 Factorise to get x= -2, x=5/3Differentiate dy/dx to get second derivative = -2-12x at x=5/3 is -22 so max...

EJ
Answered by Emily J. Maths tutor
3848 Views

What is the difference between the imparfait and the passé composé in French?

I would first make sure that the student knows the difference between the tenses in English, for example , the difference between 'I was going to the shops' 'J'allais aux magasins' and 'I went to the shop...

AH
Answered by Antonia H. French tutor
2462 Views

What's the difference between prokaryotic cells and eukaryotic cells

Eukaryotic cells are what make up you (and also plants), whereas prokaryotic cells make up bacteria. If you think about the fact that bacteria are way smaller than plants and animals, you can remem...

MS
Answered by Matt S. Biology tutor
2869 Views

Translate to Spanish: "Young people love the projects; they offer good opportunities and promote a positive attitude."

"A los jóvenes les encantan los proyectos; ofrecen oportunidades buenas y promueven una actitud positiva" (This question was taken from an A-Level past paper as an example of a likely translatio...

HE
Answered by Henry E. Spanish tutor
1819 Views

How would you find the coordinates of the intersections of a graph with the x and y axes, and the coordinates of any turning points?

Take the graph y = x2 - 2x + 5 for example:
In order to find the intersection with the y axis, set the x values in the equation equal to 0 as this is where the graph would cross the y axi...

SY
Answered by Simeon Y. Maths tutor
14842 Views

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