3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1) b) has x-intercept of -4 and z-intercept of 7

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A: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

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A: We first sketch the region using a graphing calculator:   We can find the y-coordinates of the…

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A: We need to find a curve for dydx=4x which passes through 2,3.

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Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1)

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

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Q: 32. Find of In(7x² - 3x + 1). dx 14x-3 dy A. = dx C. = 7x²-3x+1 dy 1 B. = dx D. = 7x²-3x+1…

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A: The given differential equation is 2e-2y cos x-dydx sin2x=0⇒dydx sin2x=2e-2y cos x⇒dy2e-2y= cos x…