CBSE-COMPARTMENT-XII SERIES Mathematics
Applications Of Derivatives
3 previous year questions.
Volume: 3 Ques
Yield: Medium
High-Yield Trend
3
2023 Chapter Questions 3 MCQs
01
PYQ 2023
easy
mathematics ID: cbse-com
Ahousing society wants to commission a swimming pool for its residents. For this, they have to purchase a square piece of land and dig this to such a depth that its capacity is 250 cubic metres. Cost of land is 500 per square metre. The cost of digging increases with the depth and cost for the whole pool is 4000 (depth)2. Suppose the side of the square plot is x metres and depth is h metres.
On the basis of the above information, answer the following questions
Given:- Square plot side = x metres
- Depth = h metres
- Volume = x2h = 250 cubic metres
- Cost of land: 500 per sq.metre
- Cost of digging: 4000 ×h
On the basis of the above information, answer the following questions
Given:- Square plot side = x metres
- Depth = h metres
- Volume = x2h = 250 cubic metres
- Cost of land: 500 per sq.metre
- Cost of digging: 4000 ×h
02
PYQ 2023
easy
mathematics ID: cbse-com
In an agricultural institute, scientists conduct experiments with varieties of seeds to grow them in different environments for producing healthy plants and obtaining higher yields.
A scientist observed that a particular seed grew very fast after germination. He recorded the growth of the plant from the time of germination and modeled its growth with the function:
Given:
,
where is the number of days the plant is exposed to sunlight.
On the basis of the above information, answer the following questions:
03
PYQ 2023
medium
mathematics ID: cbse-com
Find the intervals in which the function
is increasing .
is increasing .