i need justification please Exercise 1. Tangent plane (15 pts) Let (S) be the surface given...
Exercise 1. Tangent plane (15 pts) Let (S) be the surface given by the following equation. x+y2 = 1 + z2 An equation of the tangent plane to (S) at A(1,2,2) is: a. 2x + 4y - 4z = 1 b. x +y - z = 0 c. x + 2y – 2z = 1 d. x + y -z = 2 e. None of the above a b d. Exercise 3. Chain rule (15 pts) Let f(x,y,z) = xy...
Exercise 1. Tangent plane (15 pts) Let (5) be the surface given by the following equation. x2+y2 = 1+z2 An equation of the tangent plane to (S) at A(1,2,2) is: a. 2x + 4y – 4z = 1 b. x + y - z=0 c. x + 2y – 2z = 1 d. x + y - z = 2 e. None of the above a. b. C. O d. e.
Exercise 1. Tangent plane (15 pts) Let (5) be the surface given by the following equation. x2+y2 = 1+z2 An equation of the tangent plane to (S) at A(1,2,2) is: a. 2x + 4y – 4z = 1 b. x + y - z=0 c. x + 2y – 2z = 1 d. x + y - z = 2 e. None of the above a. b. C. O d. e. Exercise 2. Directional derivative (6 pts + 9 pts)...
Exercise 3. Chain rule (15 pts) Let f(x,y,z) = xy +z-5, x = r + 2s, y = 2r - sec(s),z=s af Then is: ar a. r - sec(s) b. sec(s) c. r+s+sec(s) d. 4r + 4s - sec(s) a. b. d.
Please Solve As soon as Solve quickly I get you thumbs up directly Thank's Abdul-Rahim Taysir Exercise 1. Tangent plane (15 pts) Let (5) be the surface given by the following equation x+y2 = 1 + z? An equation of the tangent plane to (S) at A(1,2,2) is a 2x + 4y - Az = 1 b. x + y - z=0 c. r + 2y - 2z = 1 d. x + y - z = 2 e. None...
Let f(x,y,z) = xy + z-5,x=r +2s, y = 2r - sec(s), z = s Then I is: ar a. r - sec(s) b. sec(s) c. r+s+sec(s) d. 4r + 4s - sec(s) a. b. C. Given zº – xy + y2 + y2 = 2 and z is a differentiable function in x and y. Then at (1,1,1) is: дх a. 0 b. 1 c. d. e. None of the above o a. o b. ♡ C. o d.
Exercise 2. Directional derivative (6 pts + 9 pts) Let f(x, y, z) = xy + y2 – 23 – 105. ... touch 25% 17:12 docs.google.com 2) The direction in which f decreases most rapidly at A(0,1,1) is: a. e. None of the above a. b. C. Exercise 3. Chain rule (15 pts) Let f(x,y,z) = xy +z-5,x=r+2s,y = 2r - sec(s),z=s
EXAMPLE 1 Find the tangent plane to the elliptic paraboloid z = 2x2 + 4y2 at the point (1, 1, 6). SOLUTION Let f(x, y) = 2x2 + 4y. Then f(x, y) = fy(x, y) = fx(1, 1) = fy(1, 1) = Then this equation gives the equation of the tangent plane at (1, 1,6) as (x + 1) + (y - 1) Z or ZE
(1 point) Find the equation of the tangent plane to the surface z = y In(x) at the point (1. -9,0). Z- Note: Your answer should be an expression of x and y, e.g. 3x - 4y + 6.
Need help on these homework problems images attached. Disregard the question title I don't know what happened. Thanks! at P(1, 1,-1) in the direction of the vector v = ( 4, 5,-272). Homework 3 1. (14 pts) Find an equation of the tangent plane of the function at (x, y) = = (0,4). f(x,y) = e *sin (y) 2. (16 pts) Find the linear approximation of the function at (x,y) = (1, 1) and use it to approximate f(1.1,0.9). b.(4...