A parametric representation of the surface y? + z² – x² = 0 in R³ is given by, Select one: O a. æ = v, y = v cosh u z = v sinh u O b. z = v, y = v cos u z = v sin u O c. r = ?' (OS 4, y = "sin u : = " O d. r = ' sin u, y = ' (O8 : = " O e. None of these

Find the equation of the tangent line to the trace y=3 of the quardic surface defined by 4x² + 2y² + z² = 98 at the point (4,3,4) Use the parameter t and give the equation in parametric form. Type setting: No spaces between characters. "X= "y= "Z=

Let R(r, theta) = (r*cos(theta))er (polar coordinates) How do I find v (velocity) for r = 2, theta = pi/4, dtheta/dt = 2, and dr/dt = 3?

Consider the curve y = – In|cos(x)| 77 as x travels from T to 6 a) Find the length of the curve. b) Find the surface area obtained from rotating the curve about the x-axis. c) Find the surface area obtained from rotating the curve about the y-axis.