Evaluate the line integral Lav where C is given by the line y = lnx, 1 ≤ x ≤e. xy ds,

Q: suppose A is a positive real number, determine the area of the traingle enclosed by the lines x=0,…

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Q: Evaluate the line integral C: y² = 24x from (24, 24) to (0,0). NOTE: Enter the exact answer. - gtxảy…

A: Figure of curve and direction:  Given parabola:  y2=24x That is,  y2=4*6*x One Parametrization is…

Q: B)evaluate the line integral: $5xy'dx- dx +x'ydy where c: y = x; y= x

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Q: Consider the curve C = {(x, y) = R² | y = 25 + ², - 12 ≤ x ≤ 12} in R2. Evaluate the line integral I…

A: Given curve C,Now,

Q: Use linearization to estimate the change in volume of a sphere when its radius changes from r to r+…

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

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