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Hey all, I'm having a bit of trouble with the second step proving with this question: Suppose you have n lines in a plane, arranged so that no three of the lines are concurrent and no two of the lines are parallel. Show that , for n greater than or equal to 1 , n such lines divide the plane...

Hey all, Could someone please try these questions to find the derivative : a) arcsin(cos x) b) arccos ( cosx) Thx and the problem is that the answer varies depending on domain ???

Hey all, the question is : A conical container with base angle pie/3 is being filled with water at the rate of 5 litres/sec. if the base is r metres and the height is h metres, find the height at which the rate of change in depth of water in the container is 1.19 metres/sec. The trouble...

Hey all, For this question: sec(2A) + tan(2A)= cos(A) + sin(A) /cos(A) -sin(A), I'm just wondering if it is possible to obtain the answer without cross multiplying at one stage or another ? e.g only working on the left side . Thx for helping

Hey again all, The question is : An infinite geometric series is such that the sum of all the terms after the nth term is equal to twice the nth term. Show that the sum to infinity of the whole series is three times the first term. Thx For helping

Hey all, The problem is to : Form the quadratic equation with roots which exceed by 2 the roots of *3x^2-(p-4)^2x -(2p-1)= 0. Also find the values of p for which the given equation has equal roots. Thx all

Hello, Require help with this tough question: The equations of two adjacent sides of a rhombus are y=2x +4 and y=-1/3x +4. If A( 12,0 ) is one vertex and all vertices have positive coordinates, find the coordinates of the other three vertices.* Thx to all who provide support

Hello, Require help with this tough question: The equations of two adjacent sides of a rhombus are y=2x +4 and y=-1/3x +4. If A( 12,0 ) is one vertex and all vertices have positive coordinates, find the coordinates of the other three vertices.* Thx to all who provide support

Sonia is in a dark room selecting socks from her drawer. She has only six socks in her drawer, a mixture of black and white. If she chooses two socks, the chances that she draws out a white pair is 2/3. What are the chances of drawing out a black pair? Dont know where to start... Thx to those...

Greatly appreciated if anyone would answer this question: In a certain strain of rose seeds, the probability that a seed will produce a purple flower is 1/3. Determine the least number of seeds that Must be planted in order that the probability of obtaining at least one purple flower exceeds...

Having trouble with this question. Anyone want to help thx A die has 26 faces. Each face has a different letter of the alphabet. The die is rolled three times. Find the probability that the letter k is oN the upper face twice

Hey, I need help with these questions: 1) Find equatiion of locus of point P(x,y) subject to: squareroot 2 unites from line with equation y=x 2) The distance of a point from line y=-5 is three quarters of distance from y-axis Thx all