Calc BC Taylor Polynomial FRQ Practice
Рет қаралды 1,694
5 ай бұрынIn this video we solve a practice Taylor Series/Polynomial (Maclaurin series/polynomial actually) Free Response Question. One of the highlighted skills students struggle with is manipulating/working with series/polynomials, so this goes over that idea. We do a tangent line problem, write a new polynomial from a given polynomial, and find the coefficient of a specific term. This is material from Unit 10 of AP Calculus BC.
[01:00] Tangent line problem
[04:36] New polynomial through integration
[08:52] Finding coefficient of x^3 in Maclaurin series/polynomial
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@aaravshah3843 4 ай бұрын
Should’ve done the coefficient of x^4 in part c 😑
@turksvids 4 ай бұрын
Heh. Tell me about it…
@vincentdo7523 4 ай бұрын
why you integrate third degree polynomial instead of just finding the fourth degree?
@turksvids 4 ай бұрын
Can you tell me how you would do that? Sometimes when I write the problem with a solution in mind I miss something obvious…
@vincentdo7523 4 ай бұрын
Sorry for getting back so late, but when multiplying the functions f(x) and sin(x) together, why don't you just go to the fourth power? I believe that's the fourth dehree
@turksvids 4 ай бұрын
go to the fourth if you want, but that's the series for r', not r, so when you integrate your fourth degree polynomial, you'll get a fifth degree polynomial but the question asks for fourth.
@vincentdo7523 4 ай бұрын
@@turksvids i see now, thank you
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