Consider the following parametric equations. x = 8t, y = 14t² Use a graphing utility to graph the curve represented by the parametric equations. (a) Use a graphing utility to find dx dy and dt' dt' dy dx at the parameter t == 2 dx dt dy dt dy dx (b) Find an equation of the tangent line to the curve at the parameter t = 2 y = Use a graphing utility to graph the curve and the tangent line.

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Q: 7

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Q: I need you to just answer question b.) using the graph.

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: Step 1:Step 2: Step 3:Step 4:Comparing the values:ln⁡(11/4)≈1.0116ln⁡(3)≈1.0986ln⁡(23)≈3.1355So, the…

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A: Step 1:​24. y=4−21​x,x=0, and y=0y=04−2x​=0x=80≤x≤8​Step 2:​Region is bounded by y=4−21​x,x=0, and…

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Q: E 9) Use spherical coordinates to evaluate triple integral fff (x² + y²+z2) dv, where E is the ball…

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Q: Hello, I want the solutions to these for my practice test so i can check my answers. Thank you!

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A: Thanks for your patience!Kindly comment in case of any clarifications needed.

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A: Thank you,Please rate my response.

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Q: - 11) Calculate the Jacobian, J, for the change of variables x = u cos(0) – v sin(e) and y = usin(0)…

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