use the building block 1 1-x differentiating and integrating power series to find a power series representation for the given function and determine the interval of convergence. g(x) = ln(1 x) Σ Σ n=0 x", x < 1, together with the result

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A: 1+x2y''+6xy'+6y=0

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A: Velocity  vector,  v = dr/dt Acceleration vector ,a=dv/dt Tangent  line l(t)= r(t°)+(t-t°)r'(t°)

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Q: 4 m - 4 m 4 m

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A: formula for rate of change is ds/dt   so here ds=s2-s1=649-472=177 and dt=11-8=3

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A: Given that P(E/F)=0.72 , P(E)=0.9 and P(F)=0.57 We know that  P(E/F)=P(E∩F)P(F)or, 0.72…

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Q: ) Take the Laplace transform of the following initial value and solve for Y(s) = {y(t)} Y(s) = Now…

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A: (.) Given series is ,                     ∑i=159xi &amp; x1=-2 , x2=-1 , x3=0 , x4=1 , x5=2

Q: 7. Evaluate 2√/2 √√8-1 S² S² √² + y²dde + √² + y²dydz by converting to polar coordinates.

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A: 1)When line are perpendicular then m1xm2=-1, where m1 is the slope of one line and m2 is the slope…

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A: Introduction: To find the potential function for a given vector field first use the derivatives and…

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A: I have explained everything with in the solution .please go through that.

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A: Volume ≈∑πR2Dx=∑π{x3-(-1)}2Dx=∑π(x3+1)2Dx

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