Showing posts with label Optimization. Show all posts
Showing posts with label Optimization. Show all posts

Saturday, December 5, 2020

How High Will It Go (in Europe) (4.1 p. 256) # 60

 

How High Will It Go (in Europe) (4.1 p. 256) # 60



This time we find the maximum height of a ball thrown into the air in meters.  All we need to know is the velocity and height when it is thrown! In this one we use the constant acceleration of 9.8 meter per second per second.


How High will It Go? (4.1 (p 256 #57)

 How High will It Go? (4.1 (p 256 #57)






We find the maximum height of a ball thrown into the air.  All we need to know is the velocity and height when it is thrown! In this one we use the constant acceleration of 32 feet per second per second.

Friday, December 4, 2020

Best Length Around a Corner (3.R (p 244) #85)

 Best Length Around a Corner (3.R (p 244) #85)



We find the best length of pipe to get around a corner where one hallway is narrower than the other.  

Wednesday, December 2, 2020

Optimal Area of 2 Shapes with a Perimeter of 10 (3.7 page 226 #35)

 Optimal Area of 2 Shapes with a Perimeter of 10 (3.7 page 226 #35) 


Another word problem where you use the relationship of perimeters to make a Area function base upon only one variable x.  Once we have the derivative at zero we are at an optimal place.

Tuesday, December 1, 2020

Minimizing Length (3.7 (p 225) #23)

Minimizing Length (3.7 (p 225) #23)


Here we use a calculator to find the minimum length of a line that goes through a point.  This is actually a great method for figuring out the length of something going around a corner, like we will demonstrate in a later video

 

Summer Topic: Domains

Not all functions can take any number. The set of numbers that the function can accept is called a domain.  Here we review how to analyze a ...