Find the point where the tangent line to the curve 7(?) = (V? +3,ln(?² +3),t) at (2, In 4,1) 5. %3D intersects the plane 6x-z =3. Verify your answer using technology to plot the space curve F(t), the point (2, In 4,1), the equation of the tangent line you found, and the the point of intersection you are giving as your final answer. The graph will let you know if your answer is correct or not. You do NOT need to include the graphs here.

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A: We first find dy/dx suing quotient rule

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A:

Q: find the parametric equations for the line segment from (-2,5) to (7,-1) your equation for x should…

A: Definition used -             Parametric equation of a line-             Parametric equation of…

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A:

Q: to the hyperbola the tangents. x² 16 9 = 1. Also, find the angle between

A:

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 the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula: