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Please help me with these vector calculus questions. fWhat is the work done by the magnetic force Bold B = itrj -2vk in R3 in

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Please help me with these vector calculus questions.

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\fWhat is the work done by the magnetic force Bold B = itrj -2vk in R3 in moving a particle from (1, 1, () to (e'. 13, 4) along a path C parametrixed by r(1) - i+ (312 +1)j+21 k? 1. work done - 24 - 40 2. work done - 2e - 42 3. work done = 4c - 46 4. work done - 2 - 48 5. work done = de'- 44 6. work done = 4e - 42Is the line integral I=/F-ds 0 positive, negative, or zero for the curve C oriented from A to B and vector eld shown l. I is zero 2. I is negative 3. I is positive Find the work done by the force field F(x, y) = 2x sin myi + 5 cos myj to move a particle along the parabola y = x2 from (0, 0) to (5, 7). 1. Work Done = -(2V2 -1) units 2. Work Done = -(1 + 2v2) units 3. Work Done = 7(2v2 -1) units 4. Work Done = 7(1 + 2v2) unitsEvaluate the integral I = F . ds Jc when F(x, y) = 2yi-xj and C is the quarter circle x2 +2 = 1, r, y 20, oriented clockwise. 1. I = - TT 2. I = 15 1 09 3. I = (37 - 1) 4. I = (37 - 1) 5. 1 = - IT 6. 1 = (37 - 1)

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