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# Mathematics - Ordinary Differential Equations

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112. Decreasing cube: Each of the three dimensions of a cube with sides of length s centimeters is decreased by a
Whole number of centimeters. The new volume in cubic Centimeters is given by V(s)= s^3-13s^2+54s-72

a) Find V(10).

b) If the new width is s - 6 centimeters, then what are the new length and height?

c) Find the volume when s = 10 by multiplying the length, width , and height

##### Solution Summary

Ordinary differential equations are used to calculate real world scenarios. A complete, neat and step-by-step solution is provided in the attached file.

##### Solution Preview

112. Decreasing cube. Each of the three dimensions of a
cube with sides of length s centimeters is decreased by a
Whole number of centimeters. The new volume in ...

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
The text passage contains a mathematical problem with multiple parts and provides answers to some of those parts.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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# Mathematics - Ordinary Differential Equations

Not what you're looking for?

112. Decreasing cube: Each of the three dimensions of a cube with sides of length s centimeters is decreased by a
Whole number of centimeters. The new volume in cubic Centimeters is given by V(s)= s^3-13s^2+54s-72

a) Find V(10).

b) If the new width is s - 6 centimeters, then what are the new length and height?

c) Find the volume when s = 10 by multiplying the length, width , and height

##### Solution Summary

Ordinary differential equations are used to calculate real world scenarios. A complete, neat and step-by-step solution is provided in the attached file.

##### Solution Preview

112. Decreasing cube. Each of the three dimensions of a
cube with sides of length s centimeters is decreased by a
Whole number of centimeters. The new volume in ...

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
user
The text passage contains a mathematical problem with multiple parts and provides answers to some of those parts.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS