CHAPTER 10. DERIVATIVES OF MULTIVARIABLE FUNCTIONS 96 Activity 10.7.6 Let f(x, y) = -3y²-4x+6y with triangular domain R whose vertices are at (0,0), (4,0), and (0,4). The domain R and a graph of f on the domain appear in Figure 10.7.3. 3- 2- 1- 2 I -5- -10- -15- -20- Figure 10.7.3 The domain of f(x,y)=²-3y²-4x+6y and its graph. a. Find all of the critical points of f in R. b. parametrize the horizontal leg of the triangular domain, and find the crit- ical points of f on that leg. (Hint: You may need to consider endpoints.)

Q: Consider f(r) 3- 2x and the graph of g below. Suppose p(x) = f(x)g(r), q(r) = f(x)/g(x), and c(x) =…

A:

Q: 5) When calculating L{f(t)} huhere f(t) is the function whose graph is shown in the attached figure,…

A:

Q: 8. The graph of y = g(x) is the image of the graph of y= f(x) after a stretch or compression, and a…

A: We have to describe the transformations on f(x) (points at (0, 0) and (4, 2)) to form g(x) (points…

Q: The Domain of ƒ(x) = V1- x is

A:

Q: f" (x)= x(x-1)²(x + 2)³ g" (x) = x(x - 1)²(x + 2)³ + 1 h" (x) = x(x − 1)²(x + 2)³ - 1 The…

A: For any function R(x), At its inflection point, R''(x) = 0 Therefore, at the inflection points of…

Q: 8. Describe the symmetry of the 7 points given function * f (x) = 2(x – 1)3 – 4 180 degree…

A: Let's draw the graph of the function  f(x) = 2 (x-1)3-4

Q: a) 6. A function is defined by the equation d(x) = 5(x - 3)² + 1. List the transformations to the…

A:

Q: 1) Graph the function f by starting with the graph of y = x² and using transformations. f(x) =(x –…

A: If f(x)=x2 Now we know that if graph of f(x) is transformed to f(x-a) then we shifts the graph of…

Q: 1. Sketch a graph of f(x) = = { 2x+3 3 X if x -1

A: Here we have to plot the Graph. According to guidelines we have to solve only first questions if…

Q: The point (18, 8) is on the graph of y = f(x). - a) A point on the graph of y = g(x), where g(x) =…

A: Solution: Given: y=g(x),

Q: 5. For the graph of the function f(x), find (4pts) (4, 3) (3,0), a) f(2) (-2,1) -6 6 x b) all…

A: Using given graph we can evaluate all questions,

Q: f(x) = (x – 1)5 – 2 -

A: Given: The function is f ( x ) = 12 x-15 - 2 . To sketch:  Graph of f ( x ) = 12 x-15 - 2  using…

Q: Question #5 Let [x², x 1 f(x) = Draw the graph of f(x) and discuss its differentiability at x = 1.

A:

Q: In this case, system (1.8) is expressed as (af (Xn-1)+bf (*n-2)), Yn+1 = f (af (yn-1)+bf (yn-2)),…

A:

Q: Graph the function f(x) = = -sec nswer. 10 9 8 7 6 5 4 -2TL3T-ㅠㅠ 2 st 3 20 11 플플 2 SY -2 -3 -4 -5 -6…

A:

Q: Question Five (a) Let f: RR be a function given by f(₁,2,...) = ...., where P Σ-1. Show that the…

A:

Q: [Group Work] Draw two graphs y = f(x) and y = g(x) so that (f o g)(1) = 3 (go f)(2) = 5 f(2) = 4…

A:

Q: f (x) = 1 +2 9(x) = 2z-5 Functions f and g are defined as shown. What is the r-coordinate of the…

A: