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Which of the following statements about extremum is true for the function f(x,y) = x4 +...
f(x,y)=4x-3y function on the curve x^2+y^2=25 when finding the extreme values using Lagrange multipliers which of...
f(x,y)=4x-3y function on the curve x^2+y^2=25 when finding the extreme values using Lagrange multipliers which of these statements are true? 1)f is at minimum value at (-4,-3) on this curve 2)f is at maximum value at (4,3) on this curve 3)maximum value of f is 25 on this curve 4)f has not got any extremum points on this curve
constraint* is mispelled f(x, y) 2x2 -12xy2- 6y 10o a) Explore the function for local minima and maxima: find critical points and determine the b) Explore the given function for absolute maximum i...
constraint* is mispelled
f(x, y) 2x2 -12xy2- 6y 10o a) Explore the function for local minima and maxima: find critical points and determine the b) Explore the given function for absolute maximum in the closed region bounded by the type of extremum triangle with vertices (0,0), (0,3) and (1,3) Explore the function at each of three borders. Determine absolute maximum and minimum c) Find critical points of the given function f(x, y) under the constrain xr_y2x = 4x + 10...
1. Sketch a few of the level curves of the function f(x, y) = surface z...
1. Sketch a few of the level curves of the function f(x, y) = surface z = y2 and then use these to graph the f (x, y) 2. Evaluate the following limits if they exist. If they don't, explain why not. (a lim (x,y)(0,0) + 4y2 x4-y4 (b lim (x,y)(0,0) x2 + y2 cos 2 y2) - 1 lim (c (z,y)(0,0 2ry (x, y)(0,0) Is the function f(x, y) continuous at (0,0)? 3 = (х, у) — (0,0) 2x2y...
f(x,y)=〖2x〗^2-12x+y^2-6y+10 (a). Explore the function for local minima and maxima: find critical points and determine the type of extremum. (b). Explore the given function for absolute maximum in th...
f(x,y)=〖2x〗^2-12x+y^2-6y+10 (a). Explore the function for local minima and maxima: find critical points and determine the type of extremum. (b). Explore the given function for absolute maximum in the closed region bounded by the triangle with vertices (0,0), (0,3) and (1,3) (c). Identify if there are any critical points inside the rectangle. (d). Explore the function at each of three borders. (e)Determine absolute maximum and minimum. (f). Find critical points of the given function f(x,y) under the constrain x^2-y^2 x=4x+10
Find the largest open interval on which the graph of the function f (x) = x4...
Find the largest open interval on which the graph of the function f (x) = x4 +6x3 x is concave down Use interval notation, with no spaces in between numbers and brackets. For example: (3,8) Answer: Which of the following statements are true about the function below on the interval [a,b]? AA The derivative is 0 at two values of x both being local maxima. The derivative is 0 at two values of x, one on the interval [a,b] while...
) Find the local maximum and minimum values and saddle point(s) of the function. If you...
) Find the local maximum and minimum values and saddle point(s) of the function. If you have f(x, y) = x4 + y4 - 4xy + 2 maximum f I (smaller x value) f (larger x value) minimum FC (smaller x value) f (larger x value) saddle points (smallest x value) (largest x value) Need Help? Read It Watch it Talk to a Tutor (
1. (based on exercise 6.5 on page 301) For each of the following functions, find their first and ...
1. (based on exercise 6.5 on page 301) For each of the following functions, find their first and second derivatives, and use these to find the function's critical points. Characterize each critical point as a local minimum, maximum, saddle point, or something else. (a) f(x, y-x2-4ry + y2 (b) f(x,y)=x4-4xy+94. (c) f(x, y) 2x3-3z2-62y(x-y-1). (d) f(x, y) = y4-v2 + 2y(1-x) + 1. (e) For the function in item 1d, what is the steepest descent direction at (x, y) (0,0)?...
12.1.19 Determine the location of each local extremum of the function. f(x) = -x - 3x...
12.1.19 Determine the location of each local extremum of the function. f(x) = -x - 3x + 9x - 5 What is/are the local minimum/minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. at x O A. The local minimum/minima is/are (Use a comma to separate answers as needed. Type integers or simplified fractions.) B. The function has no local minimum. 12.1.27 Find the location of the local extrema of the...
Find the extremum of f(x,y) subject to the given constraint, and state whether it is a...
Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y) = 3x² + 3y²; 3x + 2y = 39 There is a minimum value of located at (x, y)=0 (Simplify your answers.)
Question 6. (20 pts) Find the critical points of f(x, y) = x4 + 2y2 –...
Question 6. (20 pts) Find the critical points of f(x, y) = x4 + 2y2 – 4xy. Then use the Second Derivative Test to determine whether each critical point is a local min, max, or saddle point.
constraint* is mispelled
f(x, y) 2x2 -12xy2- 6y 10o a) Explore the function for local minima and maxima: find critical points and determine the b) Explore the given function for absolute maximum in the closed region bounded by the type of extremum triangle with vertices (0,0), (0,3) and (1,3) Explore the function at each of three borders. Determine absolute maximum and minimum c) Find critical points of the given function f(x, y) under the constrain xr_y2x = 4x + 10...
1. Sketch a few of the level curves of the function f(x, y) = surface z = y2 and then use these to graph the f (x, y) 2. Evaluate the following limits if they exist. If they don't, explain why not. (a lim (x,y)(0,0) + 4y2 x4-y4 (b lim (x,y)(0,0) x2 + y2 cos 2 y2) - 1 lim (c (z,y)(0,0 2ry (x, y)(0,0) Is the function f(x, y) continuous at (0,0)? 3 = (х, у) — (0,0) 2x2y...
Find the largest open interval on which the graph of the function f (x) = x4 +6x3 x is concave down Use interval notation, with no spaces in between numbers and brackets. For example: (3,8) Answer: Which of the following statements are true about the function below on the interval [a,b]? AA The derivative is 0 at two values of x both being local maxima. The derivative is 0 at two values of x, one on the interval [a,b] while...
) Find the local maximum and minimum values and saddle point(s) of the function. If you have f(x, y) = x4 + y4 - 4xy + 2 maximum f I (smaller x value) f (larger x value) minimum FC (smaller x value) f (larger x value) saddle points (smallest x value) (largest x value) Need Help? Read It Watch it Talk to a Tutor (
1. (based on exercise 6.5 on page 301) For each of the following functions, find their first and second derivatives, and use these to find the function's critical points. Characterize each critical point as a local minimum, maximum, saddle point, or something else. (a) f(x, y-x2-4ry + y2 (b) f(x,y)=x4-4xy+94. (c) f(x, y) 2x3-3z2-62y(x-y-1). (d) f(x, y) = y4-v2 + 2y(1-x) + 1. (e) For the function in item 1d, what is the steepest descent direction at (x, y) (0,0)?...
12.1.19 Determine the location of each local extremum of the function. f(x) = -x - 3x + 9x - 5 What is/are the local minimum/minima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. at x O A. The local minimum/minima is/are (Use a comma to separate answers as needed. Type integers or simplified fractions.) B. The function has no local minimum. 12.1.27 Find the location of the local extrema of the...
Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y) = 3x² + 3y²; 3x + 2y = 39 There is a minimum value of located at (x, y)=0 (Simplify your answers.)
Question 6. (20 pts) Find the critical points of f(x, y) = x4 + 2y2 – 4xy. Then use the Second Derivative Test to determine whether each critical point is a local min, max, or saddle point.
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