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CUET UG Mathematics Applied Previous Year Questions (PYQs)

CUET UG Mathematics Applied Application Of Derivatives PYQ

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

Solution

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





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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied 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

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CUET UG Mathematics Applied

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