thanks a lot everyone for all your responses
there was one part left out though....
"b) wetted surface area of the reservoir is increasing. (the curved surface area of a cone is pi r s, where r is the base radius and s the slant height.)"
so yeah....does anyone have any soutions to that...
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)
can someone please try and complete the whole question...the problem isn't whethere there are pis or not in the4 solution bur rather the process of working it out
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...
can someone please draw up a diagram of this trough becuase i have difficulty understanding what it looks like....i understand how to do everything except i don't quite understand how x^2 +x^2=(2h)^2...as soon as someone can explain that then i can understand the question...but i think the main...
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...