(a) find the Maclaurin polynomial P_{3}(x) for f(x), (b) complete the following x: -0.75, -0.50, -0.25, 0, 0.25, 0.50, 0.75 for f(x) and P_{3}(x), and (c) sketch the graphs of f(x) and P_{3}(x) on the same set of coordinate axes. f(x) = arcsin x

vazelinahS 2020-12-15 Answered
(a) find the Maclaurin polynomial P3(x) for f(x), (b) complete the following x:0.75,0.50,0.25,0,0.25,0.50,0.75forf(x) and P3(x), and (c) sketch the graphs of f(x) and P3(x) on the same set of coordinate axes. f(x)=arcsinx
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mhalmantus
Answered 2020-12-16 Author has 106 answers

a) f(x)=arcsinx
P3(x)=k=03f(k)(0)k!xk
P3(x)=x+x36

x0.750.500.250.00.250.500.75f(x)0.8480.5240.25300.2530.5240.848P3(x)0.8200.5210.25300.2530.5210.820

On the graph below: Purple curve = f(x) Orange curve = P3(x) Step 3 image

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