Find f · dr c for the given f and c. f = x2 i + y2 j and c is the top half of a circle of radius 3 starting at the point (3, 0) traversed counterclockwise. (a) parameterize the path c in the usual way for circles. r (t) = (b) set up the integral in terms of t only. f · dr c = dt (c) evaluate the integral in part (b).

a. Take

with .

b. The line integral reduces to

c.

(where and )

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step-by-step explanation:

graph #4 (last graph) depict the function   f(x)= -m(x-d)^1/5 i

step-by-step explanation:

we know that

m=slope

but in this function slope is -m that means slope is decreasing and it is decreasing by 1/5 points down the x-axis.

which is shown in graph four

a decreasing slope down x-axis by 1/5 points.

hence 4th graph is the right option for this.