
1. (14 pts) Find an nequation of the tangent plane of the function at (x, y)...
Find the tangent plane when and
to the graph of.
π 5. (14 pts.) Find the tangent plane when x =ī and y=- to the graph of z = 3 tan (2x - y).
Tangent and Normal Given the function f(x) = 3x2-1, in the x-y plane Define a unit vector tangent to the function at x = 4: Find a unit vector normal to the function at x 4 Find the radius of curvature (p) at x = 4 where the radius of curvature is defined as d-y dx
to the plane containing (-1,1,2), (9,2,0), and (3, 1,1) S2. Find the equation of the tangent plane to the graph of f(x,y)-sin(ry) at the point where r/3, y-1
to the plane containing (-1,1,2), (9,2,0), and (3, 1,1) S2. Find the equation of the tangent plane to the graph of f(x,y)-sin(ry) at the point where r/3, y-1
Find an equation of the plane tangent to the following surface at the given point. yz e XZ - 21 = 0; (0,7,3) An equation of the tangent plane at (0,7,3) is = 0. Find the critical points of the following function. Use the Second Derivative Test to determine if possible whether each critical point corresponds to a local maximum local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the...
Question 3. (15 pts) Given the function z = sin(ry) +2. Find the tangent plane equation at (1,0,2).
2r2-3ry equation for the tangent plane to the graph of f(x, y) (2, 1). 5. Find an at (r, y)
2r2-3ry equation for the tangent plane to the graph of f(x, y) (2, 1). 5. Find an at (r, y)
5) Find the equation of the tangent plane to the ellipsoid F(x, y, z) = * ++ z2 – 1 = 0 at (0,4,)
e.) What is the equation of the tangent plane to the function z = x2 + 4y2 at the point with x = 2, y = -1? [8 points) f.) For the curve through space F(t) =< sin(3t), cos(3t), 2t>, what is the unit tangent vector at t = 7/2? [8 points] g.) Starting from t= 0, reparameterize the curve r(t) = (1 - 2t) î +(-4+ 2t)ſ+(-3 – t)k in terms of arclength. [8 points]
Find the equation of the tangent plane to z = sin(x²y) + 2 at the point (5,0,2). Select one: 25x + y - 5 O a. O b. 24y - 5 24x + 2 OC. 25y + 2 O d.