Wednesday, February 3, 2021

Inverse Functions Have Reciprocal Slopes (5.R p 400 #39)

 Inverse Functions Have Reciprocal Slopes (5.R p 400 #39)



A Hybrid Parametric Area with d(theta) (10-R p.747 #57)

 A Hybrid Parametric Area with d(theta) (10-R p.747 #57)




Monday, February 1, 2021

Elliptical Orbit in a Polar Form (10.6 p745 #59)

 

Elliptical Orbit in a Polar Form (10.6 p745 #59)  

Not only do we answer the question at hand, we derive the polar form of a conic section.

If you want to skip ahead: 

Minute 5:45 Finding the distance between the surface of Earth and Explorer 18 when the angle is 60 degrees

Minute 12:53 Proof that e = c/a = 2c/2a=(distance between focii/major axis) 

Definite Integral with arcsine (5.8 p387 #33)

 Definite Integral with arcsine (5.8 p387 #33)





Finding a Tangent Line Implicitly on a function with e^x (5.4 p348 #65)

 Finding a Tangent Line Implicitly on a function with e^x (5.4 p348 #65)



Implicit Differentiation with e^x (5.4 p 348 #63)

 Implicit Differentiation with e^x (5.4 p 348 #63)



Verifying a Differential Equation involoving e^x (5.4 p349 #69)

 Verifying a Differential Equation involoving e^x (5.4 p349 #69)