In DS, prepared for related rates assessment by reviewing DREDS procedure and working through snowball example. Also went over curve-sketching solutions for hw over break.
In class, took assessment on related rates (D-AD15). Reassessments available beginning Friday DS. Then learned about linearization, the process of using a tangent line to approximate the value of a function thanks to a concept called local linearity. Notes here.
Hw:
p. 236: #1-6, 22 [D-AD18]
For #1-6, ignore book instructions and instead: "Use linearization to approximate f(2,.2) for each f(x) given."
Resources
example similar to first on in class with sqrt(16.5): link
good example involving natural log: link
another "radical" example (haha....ha...) link
[ignore the L(x) formula given. It's just point slope form of tangent line.]
Passed back assessments and passed out 3Q standards grade guide. Went over linearization homework and looked at Newton's Method, an interesting application of linearization to find roots. Then reviewed curve sketching ahead of Wednesday's assessment. (AD-18, AD-13)
Notes here
Homework:
P. 230: #27ab [AD18]
p. 239: #68, 70 [AD13]
Resources:
can't find any good ones for Newton's method that aren't too complex. Just write the equation of the tangent line and plug y=0 and solve for x.
curve sketching: link
curve sketching (quality sucks, sorry) link