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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

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Important Questions on Applications of Derivatives

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MHT-CET
IMPORTANT
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 122
The length of the perimeter of a sector of a circle is 20cm. The maximum area of the sector 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 123
A running track of 440 ft is to be laid out enclosing a football field, the shape of which is a rectangle with a semicircle at each end. If the area of rectangular portion is to be maximum, then lengths of sides are
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MHT-CET
IMPORTANT
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 124
A box is to be made from a sheet 12×12 sq. cm, by cutting equal squares from the four corners and turning up its sides. Find the length of the side of the square to be cut out, in order to obtain a box of the largest possible volume?
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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 125
The maximum height is reached in 5 seconds by a stone thrown vertically upwards and moving under the equation 10s=10ut-49t2, where s is in metre and t is in second. The value of u is
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MHT-CET
IMPORTANT
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 126
A man of height 2 m walks directly away from a lamp of height 5 m on a level road at 3 m/s. The rate at which the length of his shadow is increasing is
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MHT-CET
IMPORTANT
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 127
A square plate is contracting at the uniform rate of 2 cm2/sec. The rate at which the perimeter is decreasing when the side of the square is 16 cm long is
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MHT-CET
IMPORTANT
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 128
If A+B=π2, the maximum value of cosAcosB is
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MHT-CET
IMPORTANT
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 129
If fx satisfies the conditions for Rolle's theorem on 3, 5, then∫35fxdx equals