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if f(1)= 3 and f '(1)=-2 find d/dx [x^2 f(x) ] when x=1
let f(x)=1/10x^5+1/6x^-3 on[1,2]. find the arc length
find the arc length of f over [2,6] for f(x) =4/3x^3/2
determine the length of x=4(3+y)^2, 1<=y<=4
find the surface area of the object obtained by rotating y=sin(2x), 0<=x<=pi/8 about the x axis
find the surface area of the object obtained by rotating y=4+3x^2, 1<=x<=2
A closed box, whose lenght is twice its width, is to have a surface area of 192 square inches. Find the dimensions of the box when the volume is maximum
a rectangular field is to be emclosed by a fence and divided into three lots by fences parallel to one of the sides. find the dimensions of the largest field that can be enclosed with 800 feet of fencing
how to find the derivative of 2x-9/(3x+4)^2
Describe the uses of Vector Calculus in real life and in Engineering field (any five)
