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Hi guys, here's the question I don't know how to do: Q. A particle is attached to the end of an elastic string; it is projected vertically downwards from the point O with velocity sqrt(22) m/s, and has acceleration (10-2x) m/s/s after it has traveled x metres. Find it's greatest velocity, and...

Hi guys here's a question involving logistic growth that I can't do. Q3 part a is what I am having problem with. In order to show that P = that expression, do I just sub it in dP/dt, and eventually I would get kP(1-RP)? What would I have to write as a concluding statement etc? Can someone...

Q. A block of ice in the form of a CUBE has one edge 10cm long. It is melting so that its dimensions decrease at the rate of 1mm/s (the block always remains a cube). At what rate is the DIAGONAL decreasing: (a) initially? (when edgelength = 10cm)? (b) when the edge is 5cm long?? My...

Hi guys, I'm having a bit of a problem with this question: Q. A sphere is expanding so that its surface area is increasing at a rate of 0.04 cm^2 /second. Find the rate of increase of its volume at the instant when the radius is 10cm. My solution: (please someone figure out where I went wrong)...

Hi guys need a bit of help on this question: Q. Water is poured into an inverted cone at a rate of 10cm^3 /second. The radius of the cone is 5cm and its height is 10cm. (i) At what rate is the level rising after 2 seconds? (ii) At what rate is the level rising when the level is 8cm...

My school is in the top 25: English Standard: avg 82% (RAW) for Modules/ avg 54% (RAW) for belonging Rank 13/57 ---------------- Ancient History: avg 75% (RAW) --> rank 20/32 Biology: avg 85% (RAW) --> rank 13/62 Extension 1 Maths: avg 91% (RAW) --> rank 9/100 Extension 2 Maths: avg 84%...

How good do you have to be at Ext2 to get 94? If I get a tutor that got 94 in ext2, do you reckon he would be able to explain everything perfectly (let's assume that he/she is brilliant at English as well). So what is the limit of mathematical prowess that a person that got 94 in ext2 possesses?

Hi, I'm having a problem with the absolute last question, Q1, (c) FIND angle(ACB) Here's the question: Q1. (a) If p is real . -2 (<) p (<) 2, show that the roots of the equation are non-real complex numbers with modulus 1. ----------------- This was already answered in the other thread, I...

If p is real and -2 (<) p (<) 2, show that the roots of the equation x^2 + px + 1 = 0 are non-real complex numbers with modulus 1. Ok so here's what I did: Using quadraticformula: x= [-p +/- sqrt(p^2 - 4)]/2 But p^2-4 (<) 0 due the -2 < p < 2 So, x= [-p +/- i*sqrt(4-p^2)]/2 x = -p/2p +/-...

An Indian man who tried to get out of a marriage at the last minute was beaten and dragged into the ceremony by a group of locals. Video broadcast on Indian TV station News 9 showed the man, from Mysore, crying and squirming as he was led through the vows. The station reported that...

Hi guys, For an English assignment, our current topic for our AOS is "Leadership", and for the assignment we were asked to find 5 texts reflecting the concept of leadership. Currently i've chosen the 2008 film Valkyrie, however I cannot think of any other possible texts. Can anyone suggest...