Application of Derivatives
A cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic metre per hour. Then the depth of the wheat is increasing at the rate of(A) 1 m3/h (B) 0.1 m3/h (C) 1.1 m3/h (D) 0.5 m3/h
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
Find the point at which the slope of the tangent of the function f(x)=excosx
attains minima, when x∈[0,2π]˙
Find the maximum value and the minimum value and the minimum value of 3x4−8x3+12x2−48x+25
on the interval [0,3]˙
A running track of 440 ft is to be laid out enclosing a football field, the shape of which is a rectangle with a semi-circle at each end. If the area of the rectangular portion is to be maximum, then find the length of its sides.
Find the minimum value of ∣x∣+∣∣x+21∣∣+∣x−3∣+∣∣x−25∣∣˙
Find the range of the function
There is a point (p,q) on the graph of f(x)=x2
and a point (r,s)
on the graph of g(x)=x−8,wherep>0andr>0.
If the line through (p,q)and(r,s)
is also tangent to both the curves at these points, respectively, then the value of P+r
If the curve y=ax2−6x+b
pass through (0,2)
and has its tangent parallel to the x-axis at x=23,
then find the values of aandb˙
A sheet of area 40m2
is used to make an open tank with square base. Find the dimensions of the base such that the volume of this tank is maximum.