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A horizontal drainpipe 6m above sea level empties stormwater into the sea. If the water comes out horizontally and reaches the sea 2m out from the pipe, find the initial velocity of the water, correct to 1 decimal place. let g = 10ms^-2 and neglect air resistance. Answer = 1.8ms^-1

yea i did. The question is weird because i get the answer right using 1 application of newton's method. But using a 2nd application results in a less accurate answer that is not equal to 0.76

Use x = 0.5 to find an approximation to the root of cosx = x, correct to two decimal places, using 2 applications of Newton's method. Answer: x = 0.76

The root of the equation e^x - x^3 = 0 lies between x= -1 and x= 0. Use newton's method once to find an approximation to the root, correct to 2 decimal places. Answer: x = -0.72

sketch y = (2x + 3)/(x^2-4), showing any stationary points, points of inflexion or asymptotes. Could someone also help me find the inflexion point. The 2nd derivative of the graph is very messy. Help! :(

oh wait nevermind i can see the diagrams now. lol =_=

Ahh okay i think i understand your working out. But did you post up a diagram as well? Because I can't see anything :confused:

ahh i see. So its necessary to solve a cubic equation in order to solve this problem? :( how did you solve the cubic: @^3 - 15@ + 14 = 0 ???

two roots of x^3 + mx^2 + 15x - 7 = 0 are equal and rational. Find m. :(? answer: m = -9

Help! I've been struggling with this question for a long time and still can't do it. "David walks along a straight road. At one point he notices a tower on a bearing of 053* with an angle of elevation of 21*. After walking 230m, the tower is on a bearing of 342*, with an angle of elevation of...

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according to my textbook the answer is 1/10. :confused:

oooooh cool. I get it now. Thanks a lot! :)!

A sample of 3 coins is taken at random from a bag containing 8 ten cent coins and 8 twenty cent coins. Find the probability that a particular ten cent coin will be chosen, if 2 ten cent and 1 twenty cent coins are chosen.

LOL okay. But i don't understand why "when you flip the necklace over, you get the other half of the solutions". What does this mean and how is it different from a circle? :\ Sorry i find these concepts a bit hard to grasp.

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This question is really weird to me, i can't get the answer. The question is: "twelve differently coloured beads are arranged around a necklace. How many different arrangements are possible?" Answer:19,958,400

thank you very much! :)

"Nine beads are arranged on a bracelet. How many different ways are possible?" Sorry if this sounds really dumb, but i couldn't get the answer which is 20,160. Help much appreciated :)!

The formula for the acceleration of a particle is given by A = 5x - e^2x +3, where x is the displacement of the particle. If the acceleration of the particle is at a constant rate of -9.8ms^-2, find the rate of change of its displacement when the displacement is -0.3m. thanks :) answer: -2.5ms^-1