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Find the absolute maximum value and the absolute minimum value of the following function in the given interval:
`f(x) =x^3, x in [-2,2]`
Concept: undefined >> undefined
Find the absolute maximum value and the absolute minimum value of the following function in the given interval:
f (x) = sin x + cos x , x ∈ [0, π]
Concept: undefined >> undefined
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Find the absolute maximum value and the absolute minimum value of the following function in the given interval:
`f(x) = 4x - 1/x x^2, x in [-2 ,9/2]`
Concept: undefined >> undefined
Find the absolute maximum value and the absolute minimum value of the following function in the given interval:
f (x) = (x −1)2 + 3, x ∈[−3, 1]
Concept: undefined >> undefined
Find the maximum profit that a company can make, if the profit function is given by p(x) = 41 − 72x − 18x2.
Concept: undefined >> undefined
Find both the maximum value and the minimum value of 3x4 − 8x3 + 12x2 − 48x + 25 on the interval [0, 3].
Concept: undefined >> undefined
At what points in the interval [0, 2π], does the function sin 2x attain its maximum value?
Concept: undefined >> undefined
What is the maximum value of the function sin x + cos x?
Concept: undefined >> undefined
Find the maximum value of 2x3 − 24x + 107 in the interval [1, 3]. Find the maximum value of the same function in [−3, −1].
Concept: undefined >> undefined
It is given that at x = 1, the function x4− 62x2 + ax + 9 attains its maximum value, on the interval [0, 2]. Find the value of a.
Concept: undefined >> undefined
Find the maximum and minimum values of x + sin 2x on [0, 2π].
Concept: undefined >> undefined
Find two numbers whose sum is 24 and whose product is as large as possible.
Concept: undefined >> undefined
Find two positive numbers x and y such that x + y = 60 and xy3 is maximum.
Concept: undefined >> undefined
Find two positive numbers x and y such that their sum is 35 and the product x2y5 is a maximum.
Concept: undefined >> undefined
Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum.
Concept: undefined >> undefined
A square piece of tin of side 18 cm is to made into a box without a top by cutting a square from each corner and folding up the flaps to form the box. What should be the side of the square to be cut off so that the volume of the box is the maximum possible?
Concept: undefined >> undefined
A rectangular sheet of tin 45 cm by 24 cm is to be made into a box without top, by cutting off square from each corner and folding up the flaps. What should be the side of the square to be cut off so that the volume of the box is the maximum possible?
Concept: undefined >> undefined
Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.
Concept: undefined >> undefined
Show that the right circular cylinder of given surface and maximum volume is such that is heights is equal to the diameter of the base.
Concept: undefined >> undefined
Of all the closed cylindrical cans (right circular), of a given volume of 100 cubic centimetres, find the dimensions of the can which has the minimum surface area?
Concept: undefined >> undefined
