The marginal monthly cost of maintaining a group of summer student intern at love.com is computed by: Compute, to the nearest $100 , the total monthly cost of love.com increases the size of thestudent intern program from five students to seven students. The mathematical function displayed is:\[ c(x) = \frac{1000(x+3)^2}{\left(8 + (x+3)^3\right)^\frac{3}{2}} \]This function expresses $ c(x) $ as a quotient of two expressions. - The **numerator** is $ 1000(x+3)^2 $, indicating that the expression inside the parentheses $ (x+3) $ is squared and then multiplied by 1000. - The **denominator** is $ \left(8 + (x+3)^3\right)^\frac{3}{2} $. Here, the expression $ (x+3) $ is cubed, added to 8, and then the sum is raised to the power of $ \frac{3}{2} $.This type of function is often used in calculus and algebra to study behavior such as growth, decay, or other properties related to changes in $ x $.

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The marginal monthly cost of maintaining a group of summer student intern at love.com is computed by: Compute, to the nearest $100 , the total monthly cost of love.com increases the size of the student intern program from five students to seven students.

The marginal monthly cost of maintaining a group of summer student intern at love.com is computed by: Compute, to the nearest $100 , the total monthly cost of love.com increases the size of the student intern program from five students to seven students.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The marginal monthly cost of maintaining a group of summer student intern at love.com is computed by:

Compute, to the nearest $100 , the total monthly cost of love.com increases the size of the
student intern program from five students to seven students.

The mathematical function displayed is:

\[ c(x) = \frac{1000(x+3)^2}{\left(8 + (x+3)^3\right)^\frac{3}{2}} \]

This function expresses $ c(x) $ as a quotient of two expressions.

- The **numerator** is $ 1000(x+3)^2 $, indicating that the expression inside the parentheses $ (x+3) $ is squared and then multiplied by 1000.

- The **denominator** is $ \left(8 + (x+3)^3\right)^\frac{3}{2} $. Here, the expression $ (x+3) $ is cubed, added to 8, and then the sum is raised to the power of $ \frac{3}{2} $.

This type of function is often used in calculus and algebra to study behavior such as growth, decay, or other properties related to changes in $ x $.

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