5. Let F = (3r2 + 2ry + y?)i+ (x² + 2ry+ 4y)j, and let C be any curve in R? which begins at the origin and ends at (1,2). Find %3D F. dr.

Q: Give the parameter description of the line that is parallel to the x-axis and goes through the point…

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Q: Evaluate Pw.-(x+2y))- dr, where C is the curve shown below.

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Q: Find the length of the following curve. y = 2x + 4 on 3-2, 24 (Use calculus.)

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Q: For each curve in Figure 31, state whether it is symmetric with respect to the y-axis, the origin,…

A: To state whether it is symmetric with respect to the y-axis, the origin, both, or neither.

Q: Find the length of the curve defined by

A: Length of the curve is :y=3x3/2 -11Differntiation :dy/dx= 3 * 3/2 *x3/2-1dy/dx= 9/2 *x1/2(dy/dx)2…

Q: -5 -4 -2 -1 2 3

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Q: Evaluate f (5ydy + 3xydx) C if C is the closed curve determined by the x-axis, the parabola y = x²…

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Q: Graph the relation of equation x2/4 + y2/16 = 1 using the points calculated in the table below.…

A: We have to graph the function x24+y216=1 by using the points in the table.

Q: 3. Trace the curve: y² = x³ + 4x² - 9x - 36

A: