Question 11 1 pts What is the equation of the tangent plane of the graph of...
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 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 (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...
TOTAL MARKS: 25 QUESTION 4 (a) Find a normal vector and an equation for the tangent plane to the surface at the point P: (-2,1,3). Determine the equation of the line formed by the intersection of this plane with the plane z = 0. 10 marks (b) Find the directional derivative of the function F(r, y, z)at the point P: (1,-1,-2) in the direction of the vector Give a brief interpretation of what your result means. 2y -3 [9 marks]...
i need justification please 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 Exercise 3. Chain rule (15 pts) Let f(x,y,z) = xy +z...
U Question 16 1 pts Find an equation for the line tangent to the graph of the function f(x) = 22 – 2 at the point (-4,14) Answer: The equation is: y = 2+
5) Find the equation for the tangent plane passing through the point (3, 1,0) for the function: z = ln(x – 2y) Please put your final answer in the form z = ax +by+ c, where a, b, and c are real valued constants.
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).
QUESTION 1 Find an equation for the tangent plane and normal line to the surface f(x, y, z)= z - 2e-* cos y at the point P. (0,1,1) (4 marks)
Question 1 < Find the tangent plane to the equation z = 3.12 2y2 + 3y at the point (-4, -3, - 75) 2 Question 2 Find the tangent plane to the equation z = 5ex°-by at the point (12, 24, 5) Question 3 < > Find the tangent plane to the equation z = 5y cos(3x – 2y) at the point (2,3,15) z = Question 4 at the point (4,2,8), and use it to Find the linear approximation to...