4. Consider the surface S parametrized by R(u, v) = (uv, sin u, cos v). Find an equation for %3D the tangent plane to S at the point (E, 1,). 6

Q: Find an equation for the tangent plane to the surface 22 – xy? = 0 at the point (1, 3, 3).

A: Given that At point (1,3,3) Take, Now to find the divergence of f, The divergence at point…

Q: 5. Find an equation plane to the surface (u, v) = (3 cos(u) sin(v), 2 sin(u) sin(v), cos(u)) at the…

A: First, we find the point on the surface where the tangent plane would be drawn. Next, we calculate…

Q: 2. Find the equation of the tangent plane to the surface z = 3++ at point (-4, 3).

A: Topic- application of derivatives  Tangent to surface

Q: 5. The electric potential is V volts at any point (x, y) in the xy plane and V = e-2" cos(2y).…

A:

Q: III. Find the parametric equations of normal line to the surface given by f(x, y) = tan 2 V + y? at…

A:

Q: Find an equation for the tangent plane to the surface 2? – ry? = 0 at the point G, 2, 3)

A:

Q: Find the equation of the tangent plane to x2 the surface z = 4 + y? at the point (2, –2, 5)

A:

Q: Find parametric equations for the tangent line to the curve of intersection of the cylinders x = 74…

A: given curves x2+z2=74 , y2+z2=74 , point 5,-5,7  to find parametric equations for the tangent line…

Q: Find the angle between the curve 2y=e-x/2 and y-axis

A: we will see in next step

Q: 3. What is the tangent plane to the surface 4x4 2xy + 7xyz -5 at the point P(1, 1, -1)? Find the…

A: Given plane 4x4-2xy+7xyz=-5 and point P1,1,-1 Let Fx,y,z=4x4-2xy+7xyz+5

Q: Find the equation of the osculating plane of the curve = = (a sin u + b cos u, a cos u + b sin u, c…

A:

Q: A cycloid has parametric equations z =t - sint, y = 1 - cost, 0 <t< 2x. Find the slope of the…

A:

Q: Write parametric equations for the tangent line to the curve of intersection of the surfaces x =…

A: To find: The parametric equations for the tangent line to the curve of the intersection of the…

Q: Find the equation of the tangent plane to the surface z = 4.x*y? + 2y at point (1, -2, 12).

A:

Q: 2. Find an equation of the tangent plane to the parametric surface F(u, v) = (, 2uv, uv?) at the…

A: (2) Consider the provided question,