By considering different paths of approach, show that the function below has no limit as (x,y)→(0,0). f(x,y) = %3D .4 .2 + Examine the values of f along curves that end at (0,0). Along which set of curves is fa constant value? O A. y= kx, x#0 O B. y= kx + kx², x#0 O C. y= kx°, x#0 O D. y= kx?, x+0 If (x,y) approaches (0,0) along the curve when k = 1 used in the set of curves found above, what is the limit? (Simplify your answer.) If (x,y) approaches (0,0) along the curve when k = 0 used in the set of curves found above, what is the limit? (Simplify your answer.) What can you conclude? A. Since f has two different limits along two different paths to (0,0), in cannot be determined whether or not f has a limit as (x,y) approaches (0,0). B. Since f has two different limits along two different paths to (0,0), by the two-path test, f has no limit as (x,y) approaches (0,0). O C. Since f has the same limit along two different paths to (0,0), by the two-path test, f has no limit as (x,y) approaches (0,0).

Q: Use the function f(x)=x",x>0 to determine the bigger of the two numbers e' and a

A:

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: 17. Which equation is equivalent to the piecewise function shown below? 2r,x 1 2x-4.x>1 A y= 2x- 2-…

A: Given piecewise function is-y=-2xx≤12x-4x>1.......(1)i.e y=-2x when x≤1and y=2x-4 when…

Q: e following function: Find fyy. Points fyy = || f(x, y) = 5x4y6x4y5 - 21

A: The given function is f(x, y)=5x4y6-x4y5-21 . We have to find fyy .

Q: Describe the interval(s) on which the function is continuous.

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

A:

Q: Write as a piecewise function

A: Given a graph of a function.

Q: Use the graphs (see attached) of f and g to find (fg)(2).

A: The graphs of f and g is given. Here, fg2=fg2.

Q: mathlearning42 is sleeping in a sleeping bag in boring national park at point (4, 5).The elevation…

A: According to the given information it is required to find the way on map of boring national park…

Q: At x = -2 the function y = false O true 5 is differentiable but not continuous.

A: Any differentiable function is always a continuous function. However, a continuous function doesn't…

Q: 2. Determine whether these are well-defined functions. Explain. 3 (a) f:R → R, where f(x) = 2² + 5°…

A:

Q: Consider the function f(x) graphed below for -3 < x < 5. 15 y 10 5. Where does the curve change…

A: Where does the curve change the concavity between the interval -3&lt;=x&lt;=5.