CUET UG Mathematics Applied Application Of Derivatives Previous Year Questions (PYQs)
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Showing 3 questions
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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Solution
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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Solution
Marginal revenue
$=\frac{dR}{dx}$
Differentiate:
$\frac{dR}{dx}=8x+10$
Now put $x=20$
$=8(20)+10$
$=160+10$
$=170$
Based on the above information, total revenue $R$ (in Rs.) is given by:
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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
Online Test Series, Information About Examination,
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and More.
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