Find the equation of the line perpendicular to through (7, 2) through (-1,7/2) through (1/3, 13) through (-7, -5) through (9. 25) a. 2y - 3x = 1 b. 9x + 15y + 6 = 0 c. x+y =1 d. 5x = 2y - 6 3y = 11x -1

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A: We need to evaluate the following line integral ∫C-ydx+xdy Where,  C: y2 = 6x  from 6, 6 to 0, 0

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A: A detailed solution is given below.

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A: The solution is given in the next step.

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A: we have to find directional derivative.

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A: Derivative Please reupload 2nd question according to bartleby guidelines

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A: We can solve as follows

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A: This question is related to Trigonometric functions, we will solve it using given information.

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A: We can solve as follows

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Q: a) Consider the scalar function: f(x, y) = -4x*y³ – 2a*y? Find the gradient: Vf(x, y) = i+ Find the…

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Q: Question 14 1. 2 Evaluate the iterated integral. J, J. J. (x²+ y² + z?) dx dy dz -1°0 (А) 5 (в) з D)…

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