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Explain why Lagrange's mean value theorem is not applicable to the following functions in the respective intervals: f(x) = 13x +11, x∈ [1,3].
Show that the conical tent of given capacity will require the least amount of canvas if its height is √2 times its base radius.
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find vector
such that
and
Prove that
Find and
for the function x² sin(y³)+xe3z-cos(z²)=3y-6z+8
Show that area of a parallelogram whose diagonals are given by and
is
Also find the area of the parallelogram whose diagonals are
and
An open storage bin with square base and vertical sides is to be constructed from a given amount of material. Determine its dimensions if its volume is to be maximum neglecting the thickness of material and waste in constructing it.