IITM BS Question 57 - Week 9 Practice

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IITM BS Question 57 - Week 9 Practice | Prasnya

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Q57Comprehension2 Marks7 Aug 2022

Passage

The price of a product (

f(x, y)

) depends on the price (

x

) of the raw materials and the price (

y

) of transportation of the product to the market according to

f: \mathbb{R}^2 \to \mathbb{R}

where

f(x, y) = \begin{cases} x^3 - xy^2 & \text{if } x \neq y \\ x + y & \text{otherwise} \end{cases}

Answer the given subquestions using the information above.

If the rate of change of the price of the product along the direction of the vector

(1, 1)

is 1/sqrt(2) [ka^2 + lab + mb^2], when the price of raw material is a and the price of transportation of the product to the market is b (where a != b), then find the value of k - l + m.

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Q57

00:00

7 Aug 2022

Mathematics 2 · Week 9

Q57.If the rate of change of the price of the product along the direction of the vector

(1, 1)

is 1/sqrt(2) [ka^2 + lab + mb^2], when the price of raw material is a and the price of transportation of the product to the market is b (where a != b), then find the value of k - l + m.@passage

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