- (a) How is the composition function f g defined? What is its domain? (b) If g(a) = b and f(b) = c, then explain how to find (f°g)(a).

Q: What is the range of the function y = -2 – cos (3x – )? COS 3' 3 7 5 - 32 3 3 7/3

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Q: Illustration Table 3.2 lists values of a function f at various points. The approximations to f(1.5)…

A: In the given question, there are five observations in the question. Use the langrage polynomial to…

Q: 2. a) Find a formula for f-1 for the function y =f(x) = (x – 2)2 , x< 2 b) Evaluate the expression…

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Q: A function f satisfies the following conditions. f(-3) = 2, f' (-3) = 0, f(-1) = 5, f' (-1) = 0, f…

A: Given that the function f satisfies the following conditions f(-3) = 2, f'(-3) = 0, f(-1) = 5,…

Q: The function g (x)= x/(x + 1)². a) Calculate g(x), determine its sign, construct a table with the…

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Q: rce Booksh. • For the function f (x) = cot (x): Rewrite f (x) as a composite function f (x) = g(h…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Consider the function f(r) = |sinh(a)|. Sketch the graph of f versus a. State the domain over which…

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Q: Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin ,…

A: Find the point of inflection and discuss the concavity of the graph of the function. f(x) = sin x…

Q: (a) Define the following hyperbolic functions directly in terms of the exponential function (i)…

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Q: Part A: Sketch a graph of the function / given by f(e) = 3 cos(@+ m).

A: Graph of f(θ)=3 cos θ+π:

Q: 4. What is the frequency of the tangent function representéd in the graph below? (3я/2, 0) (Тя 4. 0)…

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Q: Sketch the graph of the function: (Write on the graph the scale on both x-axes and y-axes)​ a. Y = 3…

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Q: 16-18. Sketch the graph of the function y = -3 cos x. %3D

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Q: C(2) = cos(z) a. b. S(2) ='sin(z) E(z) = e* d. F(z) = e e. A(z) - arctan(z)

A: Answer

Q: Using Calculus, it can be shown that the arctangent function can be approximated by the polynomial…

A: As per norms, the first three parts of the questin are answered, ((c) consists of two questions) To…

Q: f(x) =-3 sin 3. Determine the amplitude, period and phase shift of the graph of f(x) for - 2r sxs…

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Q: A wind turbine has a tubular steel tower that is 70 meters high. It has three 20-meter long blades…

A: a. The steel tower is 70 m high and the blade length is 20m. At 3 'o'clock, suppose the tip of the…

Q: (a) Sketch the graph of the function f(x) = sin(sin¯'x). (b) Sketch the graph of the function g(x) =…

A: we will do the first three parts (A) The graph of the function f(x)=sin(sin-1x)

Q: Approximate the fixed point of the function to two decimal places. [A fixed point of a function f is…

A: Fixed point of a function f is the point c such that f(c)=c

Q: f (x) = sec x? What is the period of Enter your answer in the box. period of f (x) = sec x:

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Q: estion 10 Sketch the inverse of the tangent function shown. Label any asymptotes and the y-interc X…

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Q: (a) Write a function equation for f of the form f(x) = a sin(b(x-c)) + d (b) Write a function…

A: From the given diagram, we can get the following information: Maximum = (0,1)   Minimum = (0,-5)…

Q: Given a function f(x,y,z) = (x+9) ln (2y - 3) sin (5z). Find the range of the function. a.[ -1, 1 ]…

A: We know,  Range of sinx = [-1,1] for all real x. Range of ln(x)=-∞,∞ for all real x Range of a…

Q: Question 3 A function is defined by f (x, y, z) = z² – cos(xy) - find the value of f (5, 2, 2).

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Q: 26. Let x = tanA and y = tan 2A. a) Express y in terms of x. b) What type of function was obtained…

A: Tan2x=2tanx/(1-tan2x)

Q: The derivative of the trigonometric function y = x csc 3x is A. -csc 3x ( 1 + 3 cot 3x) B. csc 3x (1…

A: d(u.v)dx=u.dvdx+dudx.v  [ Product Rule of differentiation ] d(csc (x))dx =-cot(x)csc(x) dxndx=nxn-1

Q: 10. The cosine function f(x) = cosx is one-to-one on [0, 1]; its inverse defines the function g(x) =…

A: The domain of a function is the complete set of possible values of the independent variable.

Q: Find a function of the form y A sin(kæ) + C or y = A cos(kæ) + C whose graph matches the function…

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Q: An airplane is asked to stay within a holding pattern near an airport. The function d(x) = 80 sin…

A: We have to find at what time x the plane exactly 130 miles away.

Q: 7. What is the frequency of the tangent function represented in the graph below? (Зл/2, 0) (7x/4, 0)…

A: When a trigonometric function repeats values after a certain interval, the function has a period and…

Q: fxy) •[*cos*)y] e.) The function +(*) is homogenious in x and y of degree.

A: The solution is given in the next step.

Q: The graph of a trigònometric function f(t) is given below. 5- 4- 3- 1 -1 3 -2+ Use the graph to find…

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Q: 2. Consider the function f (x) = r' - x2 - 5x + 13. (a) Compute f'(x). (b) Find the slope of the…

A: Authoring guidelines:…

Q: Sketch the graph of the following functions: ? (a)f:R→R,f(x)=3sin (b)…

A: The graph of the given functions are given by using graphing calculator as follows

Q: 3. Represent composite functions as composition of two elementary functions a) y = 2sinx. b) b) y =…

A: Hello, thanks for your question but according to our policy I am answering the very first question .…

Q: What is the frequency of the periodic function f(θ)= 2 tan(2θ/3)? A 2 B 13 C 23 D

A: The graph of 2tan2x/3 is shown below.

Q: The graph of f(0) = -2cos(10) the graph of the function f(0) = 4-2 cos A 2π units to the left; 4…

A: I am attaching image so that you understand each and every step.

Q: Question 12 6. Find two nontrivial functions f(z) and g(z) so f(g(z))- (z + 4) f(2)- s(z) - Question…

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Q: 4. When the graphs of two functions intersect the angle of intersection is defined as the angle…

A: Slope of tangent

Q: Explain why or why not Determine whether the following statements are true and give an explanation…

A: Since you have asked multiple questions in a single request, as per the policy, we will be answering…

Q: 1.4 Consider the tollowing two functions: © «W) = ( dx %3D exp 2 tan-(v) (ii) p(v) = %3D Explain why…

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Q: True or False? Algebraically speaking, a function is odd if f(-x)= f(x). T Geometrically, a function…

A: Here we have to find the odd and even functions.

Q: Consider the function f(x)=2cos(x). a) Does f have any (odd or even) symmetry? b) What is the range…

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Q: Approximate the fixed point of the function to two decimal places. [A fixed point of a function f is…

A: Given that : A fixed point of a function f is a real number c such that f (c) = c. So, the fixed…

Q: 2. Graph the derivative of f (x) on the given graph. f(x) f'(x) Use the graphs above to make a…

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Q: 1. A pebble is stuck in the treads of a bicycle wheel. If the wheel makes 4 rotations per second,…

A: There are two types of sinusoidal function which are of the form y=Acos(Bx+C)+D or y=Asin(Bx+C)+D.…

Q: COS X if x 0

A: We have to find the reason

Q: f(0) = 6 sin(0) – , (0, 0) f '(0) =

A: The given function is: f(θ)=6 sin(θ)-θ

Q: c) The function f: x 1-> a + b cos x, is defined for 0<x< 2n. Given that f(0) = 10 and that f () =…

A: We have to find

Q: Graph the function, and determine the amplitude, period, and phase shift:…

A: The given equation is y=-sin12x-π2+12. Calculate the amplitude, period, and phase shift. As we know,…