A curve given parametrically by (x, y, z) = (1 + 3t, 2 − 3t², −3t+ 3t³). There is a unique point P on the curve with the property that the tangent line at P passes through the point (-17, -79, -306). The point P has coordinates ( · ).

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4, 0,…

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Q: (b) Find the points that touch the x axis of curve v = u? + pu + (n + 1). Where n=666. Also find the…

A: given the curve in u,v axis is as, v=u2+pu+n+1    where n=666

Q: Find the arc length of the given curve on the specified interval, and evaluate the integral.

A: Given,   c(t)=(t,∣t∣) for −1≤t≤1 Here, x(t) = ty(t) = |t| We can calculate the length of arc, by…

Q: The line ℓ is given by the equations x −2y + z = 2 and x + y −3z = 4. That is, ℓ consists of all…

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Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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Q: Find the tangent plane to the equation z = − 2x² + y² - 5y at the point (4,5,-32) z = Question Help:…

A: Given z = -2x2 + y2 - 5ypoint → ( 4 , 5 , -32 )

Q: Find a set of parametric and symmetric equations of the line satisfying the following Passing…

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Q: 5. Graph and find the parametric equations for the line through the point (1, -2, 3) and parallel to…

A: This question is about application line in 3d

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-3, 0,…

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Q: Find parametric equations for the line through (-4,1,1) parallel to the x-axis. Let z = 1. y-z=…

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Q: Identify the graph generated by the parametric equationsx = t2, y = t, for -10 ≤ t ≤ 10.

A: x=t2,  y=t  for  -10≤t≤10

Q: Value of the following integral by mean of the Cauchy Residue Theorem is. 1. z? sinz 3 Select one:…

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