lo) Use a tangent plane to approx. the value of the following tunction. at the point (2.1L- 14.D) f(x,)= arctan (ry" 391) S(2,-14) yo

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Chapter1: Functions And Models
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10) Use a tangent,plane to approx. the Nalue of the following function
at the point (2.1L- 140)
f(x,)= arctan (xy'- 391)
f(2,14) = arctan (2.G14) -391) = II or 45°
2
- 14) =
(1+ (2)(- \4)²- 39)
49
こ
196
4
2(2)(-14)
(1+(2)(-14)"-391)E
+56
-14
I t 49(x-2)- 14(u+|4)
4
t + 49x-98-
4
エ+ 99メー144
4
ty-196.
294
49(2.1)- 14(14.1) = -93.7146
4
Transcribed Image Text:10) Use a tangent,plane to approx. the Nalue of the following function at the point (2.1L- 140) f(x,)= arctan (xy'- 391) f(2,14) = arctan (2.G14) -391) = II or 45° 2 - 14) = (1+ (2)(- \4)²- 39) 49 こ 196 4 2(2)(-14) (1+(2)(-14)"-391)E +56 -14 I t 49(x-2)- 14(u+|4) 4 t + 49x-98- 4 エ+ 99メー144 4 ty-196. 294 49(2.1)- 14(14.1) = -93.7146 4
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