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a ball is projected horizontally from a cliff of height 245m and reaches the ground at a horizontal distance of 350m from the foot of the tower. determine the initial velocity V, and the velocity (direction and magnitude) on striking the ground. (take g=10m/s^2)

further rates of change question: 1. Water is pouring steadily at the rate of 1m^3/min into a conical reservoir whose semi-vertical angle is 30 degrees. when the water is 3m deep, find the rate at which the a) area of the water surface is increasing b) wetted surface area of the reservoir...

a horizontal trough 10 m long, has a cross section in the shape of a right-angled isosceles triange, if water is poured in at the rate of 8m^3/min, at what rate is the water level rising when the depth of the water is 2m. the answer is 1/5m/min but i got 2/5m/min

for the curves y=sinx and y=cosx for 0 /<x/< pi/2 determine the magnitude of the area bounded by the y-axis and the curves y=sinx, y=cosx calculate the volume of the solid obtained when this area is rotated about ther x -axis.

if a b and c are the angles of a triangle prove that tan2a+tan2b+tan2c=tan2atan2btan2c cot(a/2) + cot(b/2) + cot (c/2)=cot(a/2)cot(b/2)cot(c/2) please help guys, these have been bothering me for the last two days

a body moves in a straight line with initial velocity 9cm/s. its acceleration t sec after motion begins is 2(4-t) cm/s^2. find how far the body moves before beginning to retrace its path, and prove that the elapsed time from the beginning of the motion before the particle returns to its...

1. i) a particle is moving along the x axis. At time t, it is distant x from O and moving with velocity v= dx/dt. show that the acceleration dv/dt = v dv/dx. ii) the accelration of a body moving in a straight line is proportional to the velocity, i.e. dv/dt=kv, where k is a constant. when x=0...

hey if anyone wants to be 4 unit msn study buddies please pm me, im very interested thanks in advance no identities need to revealed, purely business purposes, and purely 4 unit maths

HEY guys, can i please have some help with polynomials from page 196 from the fitzpatrick book: 1. Find real values of a for which ai is a solution of the polynomial equation z^4 -2 z^3 +7 z^2 -4 z + 10 = 0. Hence find all the solutions of this equation. Answer: a = plus or minus sqrt2...

please help with this question guys!!! Given P(z) = z^4 + az^3 + bz -1 , find the values of a and b if i and 1 + sqrt 2 are zeros of p(z). answer: 4 , -4 thanks in advance

hey everyone if anyone has their copy of their schools 4 unit exam for the first term can you please send it to my email at lemar_pashan@hotmail.com. i would like to see the range of difficulties of other schools exams as compared to my schools. Im worried that out school exam was a bit too...

Hey guys im just a bit ambivalent as to which textbook i should be using for 4 unit maths. i am currently using the fitzpatrick book which i find very easy and also the coroneos book which is more challeneging. However, everyone has been saying that the cambridge, terry lee book and the patel...

A polynomial P(x) is odd, i.e. P(-x) = - P(x) 1. prove that P(0) = 0 and hence show that p(x) is divisible by x. 2. if b is a zero of P(x), show that –b is also a zero of P(x). 3. a polynomial P(x) is known to be odd, to be monic and have a zero -2. Show that p(x) is of at least degree 3...

A polynomial P(x) is odd, i.e. P(-x) = - P(x) 1. prove that P(0) = 0 and hence show that p(x) is divisible by x. 2. if b is a zero of P(x), show that –b is also a zero of P(x). 3. a polynomial P(x) is known to be odd, to be monic and have a zero -2. Show that p(x) is of at least degree 3...

1. Two men A and B commence work on an annual salary of $10000. A receives an increment of $1000 p.a. whilst B receives an increment of $500 each 6 months. Who has received the greater amount after 10 years, and by how much? Answer = B by $2500 ( Note B’s pay rises last ½ year each) 2. A’s...

1. Two men A and B commence work on an annual salary of $10000. A receives an increment of $1000 p.a. whilst B receives an increment of $500 each 6 months. Who has received the greater amount after 10 years, and by how much? Answer = B by $2500 ( Note B’s pay rises last ½ year each) 2. A’s...

You are a guest at a conference entitled "representations of the monster: texts and context" You have been asked to make a presentation about the monster in popular culture, examining closely 3 seperate works. The organisers have requested that u discuss at least on novel and one film. In ur...

Find the equation of the parabola focus (-3,-1) , directrix 3x-2y=5. Btw the answer is 4x^2+108x+9y^2+6y+12xy=-105. I hope giving the answer does not stop people replying.

Hey guys i need some help urgently with a english advanced assessment due on monday on representations of youth and oral presentation. i have to devise a representtion of youth. A representation is a way to show and idea through, for example, the medium of graphics, film, photographs, games...

please post a reply in this thread if u are an indonesianstudent in year 11 or 12 and studying continuers or extension. I would like to speak to u.