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anonymous
 5 years ago
find the linear approximation L(x) of the function f(x)=cos(9x) at a=pi/2 is L(x)=A+Bx
anonymous
 5 years ago
find the linear approximation L(x) of the function f(x)=cos(9x) at a=pi/2 is L(x)=A+Bx

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bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0L(x) = f(a) + f'(a)(x  a)

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0f'(x) = Sin(9x) * 9

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0f'(pi/2) = 9Sin(9pi/2) = 9*1 = 9

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0And f(pi/2) = Cos(9pi/2) = 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok whats A and what B

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0L(x) = 0  9(xpi/2) L(x) = A + Bx (<was this right, i keep forgetting the format?)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes but i do not know how u got ur answer at all

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0Oh okay so let me explain... L(x) = f(a) + f'(a)(x  a) <Linear approximation formula

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0Now for that you are going to need: f(a), f'(a) and xa

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0f(pi/2)=cos(9[pi/2]) = 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i got that the cos (9pi/2)= a decimal

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0what is ur calculator's mode in? I bet it's in degrees.. supposed to be in radians

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0pi/2 is a radian measure, not degree measure..

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0try again? change the mode and find Cos(9pi/2)

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0okay can u go to mode and type in the values u have in here?

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0what calculator are u using?

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0now type whatever u see in that screen here

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0MODE is right next to 2nd key

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i see stuff like normal Sci Eng FLoat 0123456789 Radia Degree Func PAr Pol Seq

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0what are the values, wait nevermind, can u take a picture of that mode screen and upload it on tinypic.com ? no registration needed btw

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0dont know how to do that either

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0wait nevermind, trust me Cos(9pi/2) is 0

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0L(x) = f(a) + f'(a)(x  a) <Linear approximation formula f(a) = f(pi/2) f(pi/2)=cos(9[pi/2]) = 0

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0f'(x) = [cos(9x)]' = USE CHAIN RULE = Sin(9x) * 9 = 9Sin(9x)

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0f'(pi/2) = 9 Sin(9pi/2) = 9 * 1 = 9

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0L(x) = f(a) + f'(a)(x  a) <Linear approximation formula f(a) = f(pi/2) f(pi/2)=cos(9[pi/2]) = 0 f'(pi/2) = 9 Sin(9pi/2) = 9 * 1 = 9 L(x) = f(a) + f'(a)(x  a) L(pi/2) = 0 + 9 (x  pi/2)

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0L(pi/2) = 9x  9pi/2

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0L(pi/2) = 9x  9pi/2 L(x) = A + Bx L(pi/2) = 9pi/2  9x

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0carra u here? I made a mistake, 9 (x  pi/2) is not 9pi/2  9x, its 9pi/2  9x

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0Double negative is a positive... 9 * pi/2 is 9pi/2 not 9pi/2
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