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Maths Application of Derivatives Class 12 Case Based MCQ Questions

Case Based MCQ Quiz · Class 12 · Maths · CBSE

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

Practise Application of Derivatives Class 12 with Teachoo's Case Based MCQ Quiz (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
A potter made
A potter made
A potter made a mud vessel, where the shape of the pot is based on \(f(x)=|x-3|+|x-2|\), where \(f(x)\) represents the height of the pot.
When \(x>4\) What will be the height in terms of \(x\) ?
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Question 2 of 10
A potter made
A potter made
A potter made a mud vessel, where the shape of the pot is based on \(f(x)=|x-3|+|x-2|\), where \(f(x)\) represents the height of the pot.
Will the slope vary with \(x\) value?
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Question 3 of 10
A potter made
A potter made
A potter made a mud vessel, where the shape of the pot is based on \(f(x)=|x-3|+|x-2|\), where \(f(x)\) represents the height of the pot.
What is \(\frac{d y}{d x}\) at \(\mathrm{x}=3\)
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Question 4 of 10
A potter made
A potter made
A potter made a mud vessel, where the shape of the pot is based on \(f(x)=|x-3|+|x-2|\), where \(f(x)\) represents the height of the pot.
When the \(x\) value lies between \((2,3)\) then the function is
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Question 5 of 10
A potter made
A potter made
A potter made a mud vessel, where the shape of the pot is based on \(f(x)=|x-3|+|x-2|\), where \(f(x)\) represents the height of the pot.
If the potter is trying to make a pot using the function \(f(x)=[x]\), will he get a pot or not? Why?
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Question 6 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 7 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?
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Question 8 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 9 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 10 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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