Which of the following functions is an even function? 2 II O f(x) = 5 csc(4x + 平) 3 2 II O f (x) = 5 cot (4x + ) %3D O f(x) : 2 II 5 sec( 4x + ) 2 II O f(2) = 5 tan(4z + )

Q: Q4) Write a function file called (y) to find f(x) : | sin(x)/x x 0, f(x) = 1 x= 0.

A: to find : write a function file called (y) to find f(x)                                   f(x) = {…

Q: Differentiate the following function 3 - 1 f(x) = sin (x).

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A: Given query is to find the function from the graph.

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A: Given Graph of y=asin(bx-c)   To find a , b and c

Q: 5. Make a sketch of the following parent function and give the following information. f(x) = sin x 4…

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Q: Which functions are odd or even?   (a) f(x) = -sec(x) is  (b) f(x) = csc(x+π/2) is  (c) f(x) =…

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Q: Which one of the following is the co-ordinates of the y-intercept of the tangent line to the graph…

A:

Q: The graph of the derivative f' of a function f over the interval (0, 16) is shown. y y =f '(x) 10 12…

A: Given that: Graph of f'(x)     NOTE: As per our answering guidelines, we can only answer 1 question…

Q: Identify the graph of the function below: * n= x, 0<x<T = π, π < x < 2π, f(x) -2π O & @ # f(x) +3π…

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Q: Find the absolute extrema of the function on the closed interval.

A: Consider the function g(x)=sec x on the interval -π6, π3 To find the absolute extrema of the…

Q: All of the following are odd functions except:: * (A) f(x) = x (B) f(x) = 3x3 (C) f(x) = |x| (D)…

A: We know that a function f(x) is oddfunction if f(-x) = -f(x) and even if f(-x)=f(x)

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A: Given :f'(x)=(x-1)e-x

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A:

Q: At the point shown on the function above, which of the following is true? Of' > 0, f'' > 0 Of' > 0,…

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Q: Sketch a graph of the function f(x) = - 2 sin(a)-1

A: Given: fx=-2sinπ2x-1

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A: Find your answer below

Q: Which of the following is an increasing function on R? A. x2 В. —2х C. cos x D. x3

A: Let's Solve, Answer : Option D

Q: Which of the following is the derivative of the function p(x) = 2ª tan(x)? Op' (x) = 2" sec (æ) Op'…

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Q: Q2 (a) Sketch the following function of period 27. f(x)= |x| (-1 ≤ x <n) f(x + 2x) = f(x)

A: f is 2π periodic function, f(x+2π)=f(x) I sketch the function from -5π to 5π. 5 copies of the…

Q: 45. Write a function of the form f (x) = A cos (Bx – C) for the given graph. y 3 57 6 3 6 3 6 3 -2-…

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Q: State the range of the function f(x) = 3 cos ("X 플). O [-1/3,1/3] O (-00,00) O (-3,3] O (-1,1] O…

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Q: Which of the following is the x-coordinate of a relative extremum of the function f(x) = = Arct…

A: We will use first derivative test to determine the extremum of the function.

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Q: Which of the functions below produces this graph? 4- 3- 2 3.1 63 9.4 Y2. -1 2.6 -9.4 -6.3 -3.1 -2 -4…

A: Consider the provided graph,

Q: 2) a) Let f(x) = 2* + 3x7. Find f'(x) and f" (x). b) Find the derivative f'(x) in the following…

A: a.)   Given f(x) = 2x + 3x-1/2 f'(x) , f''(x) are to be calculated. Formulas used here  ** y = ax…

Q: The graph of the first derivative f' of a function f is shown. (Assume the function is defined only…

A:

Q: Show that the function f(x)=x^-4 +cos(-2x) is even, odd, or neither."

A: Given, f(x)= x^-4 +cos(-2x) f(x)= (1/x)4 + cos(-2x)

Q: Which of the following statements is true for the function f whose derivative is f'(x) = (x + 2)e-*…

A: Here we have to find the intervals where the function is increasing and decreasing.

Q: 5.1. For each of the following functions, describe the domain of defini- tion that is understood: 1…

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Q: Q1 Find Maclaurim expression of the function f(x)=tan (x).

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Q: y 5- f 3 Зл -2 A 2 2 2 -2- -3- -4- -5- 2.

A: For the function f(x) = a sin(bx − c), Amplitude = a Period = 2π/b Phase shift(Horizontal) = c/b

Q: Choose the correct graph of F(x) = 2 sin x; - < x< 2 T: Av 2 1 -1 -2

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Q: Find f if f"(x) = 2 + cos(x), f(0) = -9, f(pi/2)=9 f(x) =

A: Solution of given question is followed by:

Q: Find the range and domain of the functions (1) f (x, y) = sin-(y-x)

A: We'll answer the first question. Since the exact one hasn't specified. Please re-submit the question…

Q: The graph of which function can be obtained by reflecting the graph of f(x) = cosx over the x-axis…

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Q: Find a, b, and c for the function f(x) = a sin(bx – c) such that the graph of f matches the figure.…

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Q: Consider the following function. f(x) = V(x - 3)2 (a) Make a sign diagram for the first derivative.…

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Q: y 3 2 - х -2 л 2 2/ 2 -1 -2F 2. KIN

A: Given the graph of the sine wave

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Q: Determine if the function is even, odd, neither or both.  f(x) = cos(e^x + e^-x)+x^2

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Q: Consider the following function. f(x) = x?(x - 8) (a) Make a sign diagram for the first derivative.…

A: Answer A:

Q: The first and second derivatives of a function f are given. Use these to find the information below.…

A:

Q: Sketch a graph of the function f(x) = sin(x). -7/4 1/4 1/2 3n/4 57/4 37/2 77/4

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Q: Graph the function. f(x) = -3 + cos(x)

A: As we know that if fx transform to fx-a, it means that graph shifts vertically downward by a units.…

Q: Consider the function f(x) sin x +x. Using the following centered fifth-point formula of the first…

A: We have to use the given centered fifth point formula for the first derivative to find the…

Q: The graph of the derivative f' of a continuous function f is shown. (Assume f' continues to o.) y y…

A: Given that: Graph of f'(x)

Q: 3. State the maximum and minimum values of the following functions (a) y=4-5cos²x (b) 3 y= 2- sin x

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Q: The range of the function f(x)=2- sin 1x is: O a. [-1,3] O b. [-2,2] Oc. [-3,2] O d. [1,3] O e.…

A: We need to find the range of the function f(x).   Range of Sine inverse x is (-pi/2 to pi/2).

Q: Q5: a) Use a table of values to graph of the following function: f(x) = y = 2 + sin x

A: In the question it is asked to tabulate the function and draw graph for it. Bartleby's Guidelines:…