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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...

Hello All.... How would I sketch the graph of a continuous function with these properties: * f(1) = f(-3) = 0 * f '(-1) = 0 * f ' (x) > 0 when x < -1 * f ' (x) < 0 when x > -1 Thanks in advance... :)

Hello All...:D Could someone please help me with this q?? 'Find any stationary points on the curve y = (4x^2 -1)^4' and determine their nature.' So the y'= 32x (4x^2 -1)^3 So one stationary point would be when x = 0.... Then.... Thanks in advance. :) (Sorry I don't know how...

OPERATIONS Mnemonics for Current Business Studies Syllabus Hello All ... :) Does anyone have any mnemonics they can share for the topic OPERATIONs?? I.e. One for the influences on operations management??

Hello Mods (mainly)... Are you able to alter the change according to day light saving?? I.e. saying it's 9.35pm (approx.) instead of 10.35pm... Just a small question.... No hassles if not possible...:D

Hello All... How do you do... Q. The value of shares in a large company fell by 2.7% from opening time on Monday morning until closing time the same day. The value of the shares than fell by 3.09% over the corresponding time period on Tuesday. Express the value of the shares at...

Hello All... How do you do... Q. The value of shares in a large company fell by 2.7% from opening time on Monday morning until closing time the same day. The value of the shares than fell by 3.09% over the corresponding time period on Tuesday. Express the value of the shares at...

Hello All... How do I.... Q: Solve, giving your answer as an exact fraction. \frac{2x-5}{3}-\frac{2-x}{5}= \frac{1}{2} Thanks in advance. :):)

Can you delete more than one private message at once?? Thanks. :)

Hello All, If I were to sketch the locus and hence write it's equation... A point P(x, y) which moves so that its distance from the x axis is 3 times its distance from the y axis. Thanks... :)

Hello All.... If I had to solve the following equation: x^6 - 7x^3 - 8 = 0 Would we let a (or whatever pronumeral) = x^3 for a start? Thanks in advance... :)

Hello All. :) Q. Sketch the graph of each parabola showing any intercepts, the axis of symmetry and vertex. a) y = 1 + 4x - x^2 b) y = 3x^2 + 2x - 8 I'm not sure about how to work out the x intercepts.... Could someone please help me? Thanks in advance. :)

Hello All... :D I've got a few questions... 1. i)Find the coordinates of the focus and ii)the equation of the directrix of y^2 + 6y + 40x + 29 = 0 2. Only part b I need help with. a) Sketch y = x^2 + 2x - 8, showing intercepts and the minimum point b) Find the coordinates of...

Hello All. :) The question is... (i) Find the coordinates of the focus and (ii) the equation of the directrix of a) x^2 - 6x - 4y - 3 = 0 I keep getting (3,-3) for i) but the answers have (3,-2)... Which is correct?? Could someone please help me??? Thanks in advance. :)

Hello All... Is there much difference between the current and previous Business Studies syllabus? Would appreciate others answers. Thanks. :D

Hello All. :D t's a bit of a dumb question. But appreciate any/all help. Q(2aq, aq^2) lies on the parabola x^2 = 4ay. a)Find the equation of the focal chord through Q. b)Prove that the length of the latus rectum is 4a. Thanks in advance. :)