Considering the following graph of the given function f. y The xy-coordinate plane is given. The curve enters the window in the second quadrant nearly horizontal, goes down and right, crosses the negative x-axis, changes direction on the negative y-axis, goes up and right, crosses the positive x-axis, and exits the window in the first quadrant nearly horizontal. Use the graph of f to complete the following table. f(x) f'(x) x > 0 f(x) > 0 F'(x) ? v0 f(x) < 0 F'(x) ?0 x >0 x < 0 f(x) > 0 f'(x) ? 0 x < 0 f(x) < 0 F'(x) ?v 0 Sketch the graph of f and f' on the same coordinate axes. у

Q: Sketch the graph of of the functian given below. f (#,y)= 9 -x ²-y²

A:

Q: 8) Sketch the function with the zeros (x + 3) (x=1) (x= 2)and: the y-intercept of -6. After doing…

A: To sketch the graph of the given function.

Q: Consider the following function. g(x) = 3[4] Step 2 of 2: Find the length of the individual line…

A:

Q: f'(x) > Ofor 0 4. f"(x)>0 for -1<x<1

A: When f'&gt;0 then function increasing When f'&lt;0 then function decreasing When f''&gt;0 then…

Q: Suppose the weight of a person was measured every five years according to the table shown. Determine…

A: topic - graphs weight of a person grows continuously . tangent line touches graph at one point and…

Q: The graph below is of a function g'(x) for some function g(x) with domain (-∞0,00). It consists of…

A:

Q: 2. Graph of y = f(x): 3 -2 -1- y=f(x) 1 2 3 6 7 -2 -3 4,

A: Consider the given graph: a) Since, the graph is not smooth and there are corners at x = 1, 4.…

Q: A function f is given. f(x) = Vx + 4 (a) Sketch the graph of f. y y 10 10 - 10 -5 5 10 - 10 -5 10 -5…

A: The graph of a square root function is a curve.

Q: (a) Complete the table of values of f(x) for x = -3, -2, –1,0, 1,2, 3. -3 -2 -1 2 3 f(x) (b) Which…

A: x -3 -2 -1 0 1 2 3 f(x) 0.015625 0.0625 0.25 1 4 16 64

Q: The graph of a function f is given below. According to the graph, f"(x) > 0 on (3, o0). y y = f(x)…

A:

Q: The image below shows the graph of the function f(x). On the same image, sketch the graph of f'(x).…

A: The graph of the function  is given.sketch the graph of the derivative  as follows.Let us consider…

Q: The graph of f(x) = -4(0.45) is given below (click on graph to enlarge): Let g(x) be the reflection…

A: Given the graph of fx = -40.45x is

Q: Could you find the domain and range of both of these graphs?

A: Domain is the set of x values  In the graph we need to check the x value of the curve the graph of…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.