hey chegg, could i get some help on this question. Also could you show your work

Question

hey chegg,

could i get some help on this question. Also could you show your work so I can follow along to help learn,

thanks!!!!

4. -2 points LarCalc10 15.2.012. Consider the following. C: line segment from (0, 0) to (4, 8) (a) Find a parametrization of the path C. r(t)- (b) Evaluate (x2 + y2) ds alonC. x2 y2) ds along C. Need Help? LReadlt.Chat About lt 5. +| -12 points LarCalc10 15.2.014 Consider the following. C: counterdlockwise around the circle xy2 16 from (4, O) to (0, 4) (a) Find a parametrization of the path C. r(t) = Eva (b) Evaluatex2y2) ds along C.

Explanation / Answer

4)r(t) =<t,2t> 0<=t<=4

r'(t)= <1,2>

ds=|r'(t)|=sqrt(1^2 +2^2) =sqrt5

b)integral(x^2 +y^2) ds

=integral[0 to 4] (t^2 +(2t)^2) sqrt5 dt

=integral[0 to 4] (t^2) 5sqrt5 dt

=[0 to 4] 5sqrt5 (t^3)/3 +c

=5sqrt5 (4^3)/3 -0

=(320/3)sqrt5

=238.5

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