Test: Application of Derivatives- Case Based Type Questions- 2 - Commerce MCQ
15 Questions MCQ Test - Test: Application of Derivatives- Case Based Type Questions- 2
Read the following text and answer the following questions on the basis of the same:
P(x) = –5x2 + 125x + 37500 is the total profit function of a company, where x is the production of the company.
What will be the maximum profit?
Read the following text and answer the following questions, on the basis of the same:
An architect designs a building for a multi-national company. The floor consists of a rectangular region with semicircular ends having a perimeter of 200 m as shown below:
The area of the rectangular region A expressed as a function of x is :
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Read the following text and answer the following questions, on the basis of the same:
The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation y = 4x – 1/2x2. 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?
Read the following text and answer the following questions on the basis of the same:
A right circular cylinder is inscribed in a cone.
S = Curved Surface Area of Cylinder.
Find the value of d2S/dh2 ?
Read the following text and answer the following questions. On the basis of the same:
An open box is to be made out of a piece of cardboard measuring (24 cm × 24 cm) by cutting of equal squares from the corners and turning up the sides.
Find the value of d2V/dx2 ?
Read the following text and answer the following questions on the basis of the same:
P(x) = –5x2 + 125x + 37500 is the total profit function of a company, where x is the production of the company.
When the production is 2 units what will be the profit of the company?
Read the following text and answer the following questions on the basis of the same:
A right circular cylinder is inscribed in a cone.
S = Curved Surface Area of Cylinder.
Find the value of ‘S’ ?
Read the following text and answer the following questions, on the basis of the same:
The Relation between the height of the plant (y in cm) with respect to exposure to sunlight is governed by the following equation y = 4x – 1/2x2. where x is the number of days exposed to sunlight.
If the height of the plant is 7/2 cm, the number of days it has been exposed to the sunlight is ______ .
Read the following text and answer the following questions on the basis of the same: The shape of a toy is given as f(x) = 6(2x4 – x2). To make the toy beautiful 2 sticks which are perpendicular to each other were placed at a point (2, 3), above the toy.
Find the slope of the normal based on the position of the stick.
Read the following text and answer the following questions. On the basis of the same:
An open box is to be made out of a piece of cardboard measuring (24 cm × 24 cm) by cutting of equal squares from the corners and turning up the sides.
Find the volume of that open box ?
Read the following text and answer the following questions, on the basis of the same:
An architect designs a building for a multi-national company. The floor consists of a rectangular region with semicircular ends having a perimeter of 200 m as shown below:
The extra area generated if the area of the whole floor is maximized is :
Read the following text and answer the following questions on the basis of the same:
P(x) = –5x2 + 125x + 37500 is the total profit function of a company, where x is the production of the company.
What will be production of the company when the profit is ₹ 38,250?
Read the following text and answer the following questions on the basis of the same: The shape of a toy is given as f(x) = 6(2x4 – x2). To make the toy beautiful 2 sticks which are perpendicular to each other were placed at a point (2, 3), above the toy.
What will be the equation of the tangent at the critical point if it passes through (2, 3)?
Read the following text and answer the following questions, on the basis of the same:
An architect designs a building for a multi-national company. The floor consists of a rectangular region with semicircular ends having a perimeter of 200 m as shown below:
The CEO of the multi-national company is interested in maximizing the area of the whole floor including the semi-circular ends. For this to happen the value of x should be
Read the following text and answer the following questions on the basis of the same:
A right circular cylinder is inscribed in a cone.
S = Curved Surface Area of Cylinder.
What is the relation between r1 and r ?
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