/Tag: Maxima/Minima
14 08, 2015


By |2018-09-25T08:43:11+10:00August 14th, 2015|Tags: , , |0 Comments

Maxima/Minima-Functions worked examples The diagram shows the graph of the parabola y2 = 2x.The point A(1, 4) is outside the parabola while the point P(x, y) is on the parabola as shown. a.If D is the distance between A and P, show that D2 = (½y2 – 1)2 [...]

14 08, 2015


By |2018-09-25T08:48:19+10:00August 14th, 2015|Tags: , , |0 Comments

Maxima/Minima-Volumes worked examples A box is made from an 80 cm by 30 cm rectangle of cardboard by cutting 4 equal squares of side x cm from each corner. the edges are turned up to make an open box. a. Show that the volume of the box is given [...]

14 08, 2015

Maxima/Minima-Surface Area

By |2019-02-08T14:33:10+10:00August 14th, 2015|Tags: , , |0 Comments

Maxima/Minima-Surface Area worked examples A hollow metal container having volume 360$$\pi$$cm³  is to be made in the shape of a cylinder of radius r cm and height h cm which is closed at one end and has a hollow hemispherical cap of radius r cm on the other [...]

14 08, 2015


By |2018-09-25T08:56:31+10:00August 14th, 2015|Tags: , , |0 Comments

Maxima/Minima-Area worked examples Bill wants to put a rectangular vegetable garden in his backyard using two existing walls as part of its border. He has 8m of garden edging for the border on the two other sides. Find the dimensions of the garden bed that will give the [...]

14 08, 2015


By |2016-11-22T16:33:05+10:00August 14th, 2015|Tags: , , |0 Comments

Maxima/Minima-Perimeter worked examples The diagram shows a plan for a window with a rectangular base and a semi–circular top. The rectangular base is 2x metres wide and y metres high. The total area of the window is 4m2. a. Find an expression for the area of the window in terms of x [...]

14 08, 2015


By |2018-09-25T09:01:27+10:00August 14th, 2015|Tags: , , , |0 Comments

Maxima/Minima worked examples A particle is projected vertically upwards at time t = 0 from a fixed point B above the ground. After t seconds the height h metres that the particle is above the ground is given by h = 29/5 (3 + 2t - t2). Find: a. the [...]

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