Find an equation for the tangent plane to the surface x = u² – v², y = u + v, 2 = u² + 4v at (-},2).

Q: Find the equation of the tangent plane to the surface determined by x^3y^2+z−35=0 where x=3 and y=5.

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Q: at an air show, a jets trajectory is following the curve y=x^2 if when the jet is at point (1,1), it…

A: Given that at an air show, a jet's trajectory is following the curve,  if when the jet is at point…

Q: Find an equation of the line tangent to the intersection of the cylinders x² + z² = 4, y² + z² = 4…

A: The parametric form of the tangent line is  x=x0+aty=y0+btz=z0+ct where, (a,b,c) is the direction…

Q: find the equation of the tangent plane and normal line to the surface x^2+y^2-2xy-x+3y-z^2 at point…

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Q: Find the equation of the tangent plane to x^2/16 +y^2/9 −z^2/36 = 1 at the point (4, 3, 6). Simplify…

A: Use tangent plane formula

Q: Find the length of the curve x = y^4/16 +1/(2y^2) between y= -3 and y= -2.

A: we have to find the length of the curve . I have explained in details please see the explanation and…

Q: Find the unit vectors that are parallel to the tangent line to the parabola y = x^2 at point (2,…

A: y=x2 at point (2,4) We need to find the unit vectors that are parallel to the tangent line to the…

Q: The equation z^2+y^2+x^2 = 4, represents the surface of a sphere. Using implicit differentiation,…

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Q: Write an equation in general form of the tangent plane to the surface x^2+siny + z^3 = −4 at the…

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Q: I am having trouble understanding this review question. There is a curve defined parametrically by…

A: There is a curve defined parametrically by x=at^2 + bt and y=ct^3 + dt^2 + et . Here, a,b,c,d,e are…