Teachoo Quiz

Case Based MCQ Quiz - Chapter 6 Class 12 Application of Derivatives

Chapter 6 Class 12 Application of Derivatives | 10 questions | about 8 minutes

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Question 1 of 10
Question 1 of 10
The Relation between
The Relation between
The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation \(y=4 x-\frac{1}{2} x^2\) where \(x\) is the number of days exposed to sunlight.
The rate of growth of the plant with respect to sunlight is \(\_\_\_\_\) .
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Question 2 of 10
The Relation between
The Relation between
The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation \(y=4 x-\frac{1}{2} x^2\) where \(x\) is the number of days exposed to sunlight.
What is the number of days it will take for the plant to grow to the maximum height?
Select an option to see the answer, or skip this question.
Question 3 of 10
The Relation between
The Relation between
The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation \(y=4 x-\frac{1}{2} x^2\) where \(x\) is the number of days exposed to sunlight.
What is the maximum height of the plant?
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Question 4 of 10
The Relation between
The Relation between
The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation \(y=4 x-\frac{1}{2} x^2\) where \(x\) is the number of days exposed to sunlight.
What will be the height of the plant after 2 days?
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Question 5 of 10
The Relation between
The Relation between
The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation \(y=4 x-\frac{1}{2} x^2\) where \(x\) is the number of days exposed to sunlight.
If the height of the plant is \(7 / 2 \mathrm{~cm}\), the number of days it has been exposed to the sunlight is \(\_\_\_\_\).
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Question 6 of 10
An open box
An open box
An open box is to be made out of a piece of cardboard measuring \((24 \mathrm{~cm} \times 24 \mathrm{~cm})\) by cutting of equal squares from the corners and turning up the sides.
Based on the above information answer the following questions:
Find the volume of that open box?
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Question 7 of 10
An open box
An open box
An open box is to be made out of a piece of cardboard measuring \((24 \mathrm{~cm} \times 24 \mathrm{~cm})\) by cutting of equal squares from the corners and turning up the sides.
Based on the above information answer the following questions:
Find the value of \(\frac{d V}{d x}\)
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Question 8 of 10
An open box
An open box
An open box is to be made out of a piece of cardboard measuring \((24 \mathrm{~cm} \times 24 \mathrm{~cm})\) by cutting of equal squares from the corners and turning up the sides.
Based on the above information answer the following questions:
Find the value of \(\frac{d^2 V}{d x^2}\)
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Question 9 of 10
An open box
An open box
An open box is to be made out of a piece of cardboard measuring \((24 \mathrm{~cm} \times 24 \mathrm{~cm})\) by cutting of equal squares from the corners and turning up the sides.
Based on the above information answer the following questions:
Find the value of \(x\) other than \(12 ?\)
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Question 10 of 10
An open box
An open box
An open box is to be made out of a piece of cardboard measuring \((24 \mathrm{~cm} \times 24 \mathrm{~cm})\) by cutting of equal squares from the corners and turning up the sides.
Based on the above information answer the following questions:
Volume is maximum at what height of that open box?
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