Q1 of 292 Page 549

Show that the function is a strictly increasing function on R.

Domain of the function is R

Finding derivative f’(x)=5


Which is greater than 0


Mean strictly increasing in its domain i.e R


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A wire of length 36 cm is cut into two pieces. One of the pieces is turned in the form of a square and the other in the form of an equilateral triangle. Find the length of each piece so that the sum of the areas of the two be minimum.

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Find the largest possible area of a right-angles triangle whose hypotenuse is 5 cm.

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Show the function is a strictly decreasing function on R.

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Prove that , where a and b are constants and a > 0, is a strictly increasing function on R.