Consider the vector field f=(x2+y2,7xy)f=(x2+y2,7xy). compute the line integrals ∫c1f⋅dr∫c1f⋅dr and ∫c2f⋅dr∫c2f⋅dr, where c1(t)=(t, t2)c1(t)=(t, t2) and c2(t)=(t, t)c2(t)=(t, t) for 0≤t≤10≤t≤1.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

add 5 subtract 1

step-by-step explanation:

c. (3,2,6) is the answer.

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step-by-step explanation:

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