Let S be the surface of revolution of the curve C: z? + (y+ 5)² = 4. (a) Find a parametrization of the surface. (b) Find a normal vector to S at (-2/2, –2/2, /3). (c) Find the equation of the tangent plane to S at (-2/2, –2/2, v3). (d) Write down an integral for the area of the surface S. You don't need to evaluate the integral.

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: Find an equation, in slope-intercept form, of the line tangent to the curve with parametric…

A:

Q: Q. (a) Find an equation of the tangent plane to each surface at the given point. (b) Find symmetric…

A:

Q: 5. Consider the curve whose equation is (x² + y²)² = 9 (x² - y²). Find a normal vector and a tangent…

A: First we find partial derivatives of f(x,y) w.r.t x and y. Then find general tangent vector normal…

Q: Find the tangent plane to the equation z = 6y cos(4x – 2y) at the point (2,4,24) Z =

A: It is given that z=6ycos4x-2y and the point is 2,4,24. Recall the fact that if the equation of the…

Q: Find (d^2)y/d(x^2) at t= pi/3 for the parametric curve given below. Write your final answer in the…

A: Given parametric curve, x = t+sin(t) y = t-cos(t)

Q: t-) For each surface below, find the normal vector and equation of the tangent plane at the given…

A: Use definition of tangent plane and norman vector.  According to guidelins, we solve only first 3…

Q: tangent plane

A:

Q: A population of rabbits oscillates 32 above and below an average of 94 during the year, hitting the…

A: The population of rabbits oscillates 32 above and below. So, the amplitude =32 Time period =12…

Q: Determine the equation of the normal line to the surface z2 cos(x + 2y) at the point (2, –1, 0).

A:

Q: Find an equation of the tangent plane to the surface at the given point. X²+y²+z²=14, (1,2,3) And…

A:

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(4.2.4) on the…

A: