# If f x a a 1 x a 2 x 2 converges for all x 1 then

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10) Iff(x) =a0+a1x+a2x2+· · ·converges for all|x|<1, then thenth derivative at zero is given byf(n)(0) =ann!.trueList of functions:a)f(x) =|x|.b)f(x) =11-x.c)f(x) = ln(1 +x).
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2. (20pts) Consider the line throughP= (1,0,1) andQ= (0,1,1).a. Write down a parametric equation for this line in the formr(t) =(f(t), g(t), h(t)).
b. Using projections, find the distance from the pointR= (2,0,2) tothis line.
c. Find the equation for the plane that containsP= (1,0,1) and isperpendicular ton=h1,1,0i, in the formAx+By+Cz=D.
d. What’s the angle betweenu=h1,1,1i, andv=h1,-1,-1i? (Youdon’t have to evaluate the inverse trig function).Is it accute orobtuse?
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