MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 113

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IMPORTANT

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The maximum and minimum values of $x^{3} - 18 x^{2} + 96 x$ in interval $(0, 9)$ are

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Important Questions on Applications of Derivatives

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 114

If

P Q

and

P R

are the two sides of a triangle, then the angle between them which gives maximum area of the triangle is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 115

The maximum and minimum values of the function

|\sin 4 x + 3|

are

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 116

The function

f (x) = |p x - q| + r |x|, x \in (- \infty, \infty)

where

p > 0, q > 0, r > 0

assumes its minimum value only at one point if

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 117

The minimum value of the function

f (x) = 3 x^{4} - 8 x^{3} + 12 x^{2} - 48 x + 25

on

[0, 3]

is equal to

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 118

The minimum value of

(x - α) (x - β)

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 119

20

is divided into two parts so that product of the cube of one quantity and the square of the other quantity is maximum. The parts are

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 120

One maximum point of

\sin^{p} x \cos^{q} x

is

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MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 4 - Applications of Derivatives>Critical Thinking>Q 121

A wire of length

a

is cut into two parts which are bent respectively in the form of a square and a circle. The least value of the sum of the areas so formed is