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L(t) =6√t

Sand is falling into a cone at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately 3 times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?
given the function g(t1,t2) = 2/(t1t2) + t1t2 + t1,

Show that there is no solution to the problem of minimizing this function over t1>0, t2>0. Can g(t1,t2) ever be smaller than 2sqrt2?
lim x approaches -2 as 1/(x+1) equals to -1
Integration of squareroot tanxdx?
divide 15 into two parts such that the square of one no. multiplied with the cube of other no. is maximum
Compute the surface area generated by revolving the curve f(x)=2√x, 1<= x <= 4 about the x axis.
How to solve: lim x -> Pi/2 (cos(x + cos x)) / sin x ?
Compute d/dα [(α ^2 + β^2)/(1+e^αβ)]
The spring-flex exercise system consists of a spring with one end fixed and a handle on the other end. The idea is that you exercise your muscles by stretching the spring from its natural length, which is 33 cm. If a 140 Newton force is required to keep the spring stretched to a length of 51 cm, how much work is required to stretch it from 47 cm to 69 cm?
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