Let f(x) be a function of single variable whose graph y = f(x) looks like so: x I am not concerned by the exact expression for f, but if it bothers you that I did not give you a specific f feel free to use something like f(x) = 3 + sin(x). Let S denote the surface formed by the graph of f after it rotates around the x-axis, and let Σ denote the surface formed by the graph of f as it rotates around the y-axis. 2 1. Parametrize and illustrate S. Make sure you show grid-lines and indicate the directions in which coordinate vector fields are pointing.

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

A: To find (g - f)(-2).  (g - f)(x) = g(x) - f(x) value of both functions at x = - 2    g(-2) = 2 f(-2)…

Q: Please

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Q: 8. Let f(x) = √25 - x² and g(x) = sinx. a) Graph f(x) and describe its shape. Is this function even,…

A: Given functions are f(x)=25-x2, g(x)=sin(x) Solution a: Since f(x)=25-x2 and f(-x)=25-(-x)2=25-x2 So…

Q: Sketch a graph of f(x)=3 arccos x- A

A: To graph the function:

Q: У 35- х4/3

A: Given: y=5-x43 To find: a) Where graph is increasing or decreasing b) Where The graph is concave up…

Q: Give the equation of the tangent line to the graph of f (x) = x² + 3 at the point (1,4). You only…

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Q: Sketch the level curves of the function z(x, y) = 10- 9 8 7 6 5 4 3 -10 -9 -8 -7 -6 -4-3-2 2 4 5 6 8…

A: Level curves equation   y=-6x/5Explanation:

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: Prdlem 6.36 Pert B)

A: It is double Integral

Q: 6) What is the domain of the cosecant function?

A: Here we have to find the domain cosecant function. Let, y=cscx It is the reciprocal of sine…

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

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Q: Considering the following graph of the given function f. y The xy-coordinate plane is given. The…

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Q: Consider the function f(x) = 1/2(ax)2 − ax, a ≠ 0. (a) Determine the changes (if any) in the…

A: Part (a)

Q: Sketch the graphs of the function f(x) = sin x .

A:

Q: A baseball is hit at a point 3 feet above the ground at a velocity of 100 feet per second and at an…

A: The main objective is to find the axis of symmetry of f(x) and maximum height ball reaches.

Q: Sketch the level curves of the function f(x, y) = = - y² for c= -4,-1, 0, 1, 4. 9

A: The level curves of a function f(x,y) are formed by plotting points (x,y) in the plane where f(x,y)…

Q: Find a function γ that describes the circle of radius 3 centered at z = 3 - 2i.

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