Question 4 1 pts 4. The equation of the line tangent to the graph of y...
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)...
Question 1- Find the equation of the tangent line to the graph of y = 34/2 - at 1 = 2. A) $*+ 2 B) x + 3 C) 3r+3 D) 2+1 E) : +2 Question - Find the value of a, for which the following function is continuous everywhere: $(x) = { 13 2.x + a if : 3 A) 7 B) 2 C) 5 D) -3 E) - 7
Question 11 1 pts What is the equation of the tangent plane of the graph of the function f(x, y) = 2x cos y at the point (1,0, 2)? A) z = x – 2y + 2 B)z = 2x C)z = x + 2y – 2 D)z = 34 ОС OA о B
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.
at x = 2. Question 1. Find the equation of the tangent line to the graph of y = 3x / 2 A) 3x + 2 B) x + 3 C) * +3 D) x + 1 E) x + 2
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+
1 Consider the graph of y= What is the equation of the tangent line at x=1? N +x+ x+{x? a. 4. y= 5 6 5. b. y= C 2 / 3 (x - 1) + 2 y= *(x-1) + y= {(x-1) +} 18 25
2. Use Definition to find the equation of the tangent line to the graph of the equation y- 1/2 at -2 3. Find the points on the graph of y2-/2 at which the tangent line is parallel to the line y - 3. 4. Sketch the graph of a continuous function f that satisfies all of the stated conditions. f(0) 2, f(-2)- (2)-0, f(-2) f(O)-f'(2)-0 f"(z) > o if-2<zco, f,(z) < 0 if <-2 or x > 0; 2. Use...
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...
Find the equation of the tangent line to the graph y=x√ at x=4. y = On graph paper, sketch the graph and the tangent line using the x-values 3.5,4,4.5. The tangent line provides a linear approximation to x√ near x=4. Use this approximation to find approximate values for 4.5‾‾‾√ and 5√