Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Use the methods of this section to sketch the curve $ y = x^3 - 3a^2 x + 2a^3 $, where $ a $ is a positive constant. What do the members of this family of curves have in common? How do they differ from each other?
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Official textbook answer
Video by Amrita Bhasin
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Calculus 1 / AB
Calculus 2 / BC
Applications of Differentiation
How Derivatives Affect the Shape of a Graph
Harvey Mudd College
University of Michigan - Ann Arbor
In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.
A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.
Use the methods of this se…
Graph the curves. Explain …
I say we sketched the graph like this. As you can see, if a is greater than zero, we can see the graph. And then for a equal zero, we conceded we would just have a cube function. Why equals X Cube? You know there's no local minimums or Maxima for a cubic function. Therefore, we know that when a is less than zero, the graphics shifted for a cube units down. So this is down.
View More Answers From This Book
Find Another Textbook