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CUET UG Mathematics Applied Mathematics Previous Year Questions (PYQs)

CUET UG Mathematics Applied Mathematics Application Of Derivatives PYQ

CUET UG Mathematics Applied Mathematics PYQ
The rate of change (in $\text{cm}^2/\text{s}$) of the total surface area of a hemisphere with respect to radius $r$ at $r=\sqrt[3]{1.331}\ \text{cm}$ is:





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CUET UG Mathematics Applied Mathematics Previous Year PYQ CUET UG Mathematics Applied Mathematics CUET UG 2024 Mathematics PYQ

Solution

CUET UG Mathematics Applied Mathematics PYQ
The total revenue (in Rs.) received by selling $x$ units of a certain product is given by: $R(x)=4x^2+10x+3$ What is the marginal revenue on selling $20$ such units?





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CUET UG Mathematics Applied Mathematics Previous Year PYQ CUET UG Mathematics Applied Mathematics CUET UG 2022 Applied Mathematics PYQ

Solution

Marginal revenue

$=\frac{dR}{dx}$

Differentiate:

$\frac{dR}{dx}=8x+10$

Now put $x=20$

$=8(20)+10$

$=160+10$

$=170$
CUET UG Mathematics Applied Mathematics PYQ
Based on the above information, total revenue $R$ (in Rs.) is given by:





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CUET UG Mathematics Applied Mathematics Previous Year PYQ CUET UG Mathematics Applied Mathematics CUET UG 2022 Applied Mathematics PYQ

Solution

New monthly charge

$=300+x$

Number of subscribers

$=500-x$

Total revenue

$R=(300+x)(500-x)$

CUET UG Mathematics Applied Mathematics

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CUET UG Mathematics Applied Mathematics

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