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6. Find the equation of the tangent line at the given point. (a) x2 + y2...
2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2...
2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2 at (4, 2), toward the point (7, 1). Then find the maximum slope and its direction
2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2 at (4, 2), toward the point (7, 1). Then find the maximum slope and its direction
1. Find the equation of the tangent line to: a) y = x2 – 3 at...
1. Find the equation of the tangent line to: a) y = x2 – 3 at the point (2,1) b) y = cos x at the point (1,1) c) y=e" at the point where r = 1 d) r3 + y3 = 19 at the point (3,-2) 2. Find the equation of the normal line to: a) y = r at the point (2,8) b) y=x+ at the point where x = 2 c) y = 2:03 - 5x +...
4. Find the equation of the tangent line to curve 3 (x2 + y2) ? =...
4. Find the equation of the tangent line to curve 3 (x2 + y2) ? = 25 (x2 - y2),= 1 at (2,1).
2. Given the paraboloid: z + x2 + y2 = 6. a) Find the symmetric equations...
2. Given the paraboloid: z + x2 + y2 = 6. a) Find the symmetric equations of the normal line at the point (1, 2, 1). b) Find the equation of the tangent plane at the point (1, 2, 1). Simplify. c) Find the angle of inclination of the tangent plane to the xy-plane in degrees. Round to the tenths place.
Find all points on the circle x2 + y2 = 676 where the slope is 5/12
16. Find all points on the circle x2 + y2 = 676 where the slope is 5/12 (x, y) = _______ (smaller y-value) (x, y) = _______ (larger y-value) 13.Find an equation of the tangent line to the graph at the given point. x2y2 - 9x2 - 4y2 = 0, (-4, -2√3) y = _______ 12. Find the slope of the tangent line to the graph at the given point. (4 - x)y2 = x3, (2, 2)
Consider the following. z = x2 + y2, z = 36 − y, (6, -1, 37) (a) Find symmetric equations of the tangent line to the curve of intersection of the surfaces at the given point. x − 6 12 = y + 1 −2 = z −...
Consider the following. z = x2
+ y2, z = 36 − y, (6, -1, 37) (a) Find symmetric equations of the
tangent line to the curve of intersection of the surfaces at the
given point. x − 6 12 = y + 1 −2 = z − 37 −1 x − 6 1 = y + 1 12 = z
− 37 −12 x − 6 = y + 1 = z − 37 x − 6 12 =...
Solve the problem. 1) Write an equation for the tangent line to the curve x2 -...
Solve the problem. 1) Write an equation for the tangent line to the curve x2 - 5xy + y2 = 7 at the point (-1, 1). Compute the gradient of the function at the given point. 2) f(x, y, z) = -5x - 9y + 10%, (3, 4,-2)
Exercise 1. Tangent plane (15 pts) Let (5) be the surface given by the following equation....
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)...
Find an equation of the tangent line to the graph of y = In(x2) at the...
Find an equation of the tangent line to the graph of y = In(x2) at the point (4, In(16)). y =
35. f(z) (3z+5)5 f(x) = SK-53 x-2 x2 -2x 37. f*)-+1 In problems 54-61, find dy/dx. 54. xy'- xy+10 0 In problems 62-63, find the equation of the tangent line to the given graph at the given po...
35. f(z) (3z+5)5 f(x) = SK-53 x-2 x2 -2x 37. f*)-+1 In problems 54-61, find dy/dx. 54. xy'- xy+10 0 In problems 62-63, find the equation of the tangent line to the given graph at the given point. 62. yxy - 6 0 at the point (1,2) 63. x+xy - vy-3 0 at the point (1,4) In problems 64-78, find y for the equation.
35. f(z) (3z+5)5 f(x) = SK-53 x-2 x2 -2x 37. f*)-+1 In problems 54-61, find dy/dx....
2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2 at (4, 2), toward the point (7, 1). Then find the maximum slope and its direction
2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2 at (4, 2), toward the point (7, 1). Then find the maximum slope and its direction
1. Find the equation of the tangent line to: a) y = x2 – 3 at the point (2,1) b) y = cos x at the point (1,1) c) y=e" at the point where r = 1 d) r3 + y3 = 19 at the point (3,-2) 2. Find the equation of the normal line to: a) y = r at the point (2,8) b) y=x+ at the point where x = 2 c) y = 2:03 - 5x +...
4. Find the equation of the tangent line to curve 3 (x2 + y2) ? = 25 (x2 - y2),= 1 at (2,1).
2. Given the paraboloid: z + x2 + y2 = 6. a) Find the symmetric equations of the normal line at the point (1, 2, 1). b) Find the equation of the tangent plane at the point (1, 2, 1). Simplify. c) Find the angle of inclination of the tangent plane to the xy-plane in degrees. Round to the tenths place.
Consider the following. z = x2
+ y2, z = 36 − y, (6, -1, 37) (a) Find symmetric equations of the
tangent line to the curve of intersection of the surfaces at the
given point. x − 6 12 = y + 1 −2 = z − 37 −1 x − 6 1 = y + 1 12 = z
− 37 −12 x − 6 = y + 1 = z − 37 x − 6 12 =...
Solve the problem. 1) Write an equation for the tangent line to the curve x2 - 5xy + y2 = 7 at the point (-1, 1). Compute the gradient of the function at the given point. 2) f(x, y, z) = -5x - 9y + 10%, (3, 4,-2)
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)...
Find an equation of the tangent line to the graph of y = In(x2) at the point (4, In(16)). y =
35. f(z) (3z+5)5 f(x) = SK-53 x-2 x2 -2x 37. f*)-+1 In problems 54-61, find dy/dx. 54. xy'- xy+10 0 In problems 62-63, find the equation of the tangent line to the given graph at the given point. 62. yxy - 6 0 at the point (1,2) 63. x+xy - vy-3 0 at the point (1,4) In problems 64-78, find y for the equation.
35. f(z) (3z+5)5 f(x) = SK-53 x-2 x2 -2x 37. f*)-+1 In problems 54-61, find dy/dx....
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