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Case Based MCQ Quiz

Question 1 of 10
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 \(x\) ?
Select one option. Answers are shown after the test.
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?
Select one option. Answers are shown after the test.
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 \(\mathrm{x}=3\)
Select one option. Answers are shown after the test.
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
Select one option. Answers are shown after the test.
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?
Select one option. Answers are shown after the test.
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 \(\_\_\_\_\) .
Select one option. Answers are shown after the test.
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?
Select one option. Answers are shown after the test.
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?
Select one option. Answers are shown after the test.
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?
Select one option. Answers are shown after the test.
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 \(\_\_\_\_\).
Select one option. Answers are shown after the test.
Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 960
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Chapter 6 Class 12 Application of Derivatives | 10 questions