Hello All...
'Consider the curve given by y = 2x^3 - \frac{1}{2}x^2 where -2\le x \le 5.'
'a) Find the stationary points and determine their nature'.
I've got the two stationary points at x = 0 and x = 1/6... But something I'm doing is wrong from there...
Thanks for your help in advance. :)
Hello All...
Could someone please help me with the following? :D
1. 'A 3m piece of wire is cut into two pieces and bent around to form a square and a circle. Find the size of the two lengths, correct to 2 d.p., that will make the total area of the square and circle a minimum'
AND
2...
Hello All...
Not sure how to do the following:
"X is a point on the curve y = x^2 - 2x + 5 . Point Y lies directly below X and is on the curve y = 4x - x^2 ."
a) Show that the distance d between X and Y is given by d = 2x^2 - 6x + 5 .
b) Find the minimum distance between X and Y...
Hello All... :D
Could someone please help me with the following?
'A function has f'(1) = 3 and f(1) = 5. Evaluate f(-2) given f''(x) = 6x + 18.'
Thanks in advance. :)
Hello All...
Can you please help me with the following question?
A poster consists of a photograph bordered by a 5cm margin. The area of the poster is to be 400 cm^2 .
I know the area of the photograph is given by the equation A = 500 - 10x - \frac{4000}{x} .
But how do I find the...
Hello All...
Could someone please help me with the following question?
"The formula for the surface area of a cylinder is given by S = 2\pi r (r + h) ,where r is the radius of its base and h its height.
Show that if the cylinder holds a volume of 54\pi m^3 , the surface area is given...