4. A group studies tides and records the function y = 1.5 sin ((r - 8)) +4.25 with time in z hours. How many times does a height of five feet occur on the interval 0

Q: 2. Suppose, f'(x) =2 cosx+sec x, -7<x<: and it is known that f()= =4. Find the function f(x)

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Q: If k > 1, the graphs of y = sin x and y = ke¯² intersect for x > 0. Find the smallest value of k for…

A: Given that if k≥1, the graphs of y=sinx and y=ke-x intersect for x≥0. When the graphs are tangent,…

Q: If S (x) = - sin(x), then f (11) (x) is equal to – sin(x) B B -cos(x) CosX sin (x) D O cos(x) A,

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Q: 1) Match each function with its gray-Cos Cos x y = Sin x y=-Sin x y =-Cos x Slide correct function…

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Q: 4. Given f(x)= sin 6x cos 6x dx , what is f| | if f(0)= x ? A. π В. О С. 2л D. — я

A: This integration can be integrated by using substitution method. Clearly it is observable that put…

Q: Match the function with its graph. 1) y = sin 3x 3) y = 3 sin x 2) y = 3 cos x 4) y = cos 3x A) B)…

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Q: Differentiate the following function. y = (7 + sin(x))/(7x+cos(x))

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

A: Given  the given form of the function is fx=asinbx-c and the graph is

Q: * 3x ], the x-coordinates of the points on the graph of the function f(x) = 1 + cos x where the…

A: For horizontal  tangent dy/dx=0

Q: 6. Show there is a root to the function f(x) = 9 sin x-3x + 2 on the interval (3, 1). Round to the…

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Q: Obtain graphically an approximately value of the root of x = sin x + Tt /2

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Q: Plot the following cosine functions, y1 = 2 cos(x), y2 = cos(x), and y3 = 0.5 + cos(x), in the…

A: According to question,Given function,y1 = 2 cos x,y2 = cos xy3 =0.5 cos x0≤x≤2π

Q: 10. Find the period of the function: g (x) = 3 tan (6z + 42) %3D 6. 42 3, kl3

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Q: 29. A water ride with heights above and below the starting point can be modeled by the function y =…

A: Given: The function of height of water ride varying with time as y=3sinπ2x+3-2, where 0&lt;x&lt;5.…

Q: 8. What is the period for this relation y = cos(4x)

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Q: 4. An electric current can be represented by the function y = 2 cos (27(x -0.02)), with time in a…

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Q: 8. Which of the following functions has the longest period? y = 6 sin(3x) + 20 y = 8 cos(2x)-4 a. b.…

A: Please comment if you need any clarification. If you find my answer useful please put  thumbs up.…

Q: - Find the extreme value/s of f(x) = 4 sin² x cos 2x on (37 3π 5π 22

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

Q: 1 Estimate the error if P3(x) = x - x³/6 is used to approximate the value of sin x at x = 0.1.

A: We have to find the error.

Q: 29. How many periods are between o and 2n for the function y= cos5x. A. O B. 3 C. 2 D. 1 E. Not…

A: We have to find  no of period

Q: y = e2* (c, cosx+ c, sin x)

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Q: 2. Find all values of 0 in the interval [0°, 360°) that have the given function value tan 0 = -V3.

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Q: Suppose m and n are constants and m #n. Evaluate sin(mx) cos(nx) dx-

A: To evaluate we first multiply and divide by 2 the given function.  Then use the formula: 2(sin(mx)…

Q: The function f(x) 22 e sin x+2x 5 cos x + has a removable discontinuity at a = 0. To remove the…

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Q: 1. please show steps and  please write clearly

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Q: Get the combined application of Simpson's 1/3 and Simpson's 3/8 rules and and solve for the percent…

A: As per the question we are given the following integrand : f(x) = 8 + 5sin(x) And we have to find…

Q: Solve the following over the interval [0, 27]; Sin 2x Cos *- Sin x = 0 O 0, 0, 6 O 0, 7, 2m, , O 0,…

A: Given sin2xcosx-sinx=0 The trigonometric identity used is sin2x=2sinxcosx So the expression becomes…

Q: 4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

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Q: 2. Find where each of the following functions is discontinuous (a) tan(x) (b) cosec(x) (c) x| 3.0

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Q: 4. plot the below function in the range 0 to 3x in steps of z/20. sin(x) sin(x)20 y(x)=. sin( x)s0

A: we are allow to solve one question at a time thank you

Q: 1/4 Find the linear approximation of the function f(x) = tan(x) at the point a =' and use it to…

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Q: Use the following graph of the tunction f(x) = 3 sin z, which passes through A(-,-3), B(, 1.5), and…

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Q: 5. What is the maximum value of the transformed sine function g(x) = -2 sin[3(x + )] – 6? А. —4 В.…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 1 of 7 Which graph of the function y=2 sin 3(0-90")+1, where -180" e< 180", is best illustrated…

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Q: 22 Evaluate s cos (Iz)e dz

A: Formulae used: ddxcosx=-sinxddxsinx=cosx∫eaxdx=eaxa∫cosxdx=sinx+C By party integration formula…

Q: 14 Consider the following two functions: 1 exp dx %3D (面) e() tan (2) %3D Explain why both of these…

A: Given function is  φv=12π∫-∞ve-x22dx Let us consider  fx=12πe-x22 Then, fx is the probability…

Q: Find all values in the interval [0°,360°) that have the given function value. cos 0 = 2

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Find the extreme values for the function f(x) = x + sin x on the interval [0, 27).

A: This function is unbounded below and unbounded above, Therefore the function has no global extreme…

Q: (5) Find the local extreme values of the function h(x) = sin?x – V2 . sinx + 2/2 on the interval (0,…

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Q: 9) For the defined function, give the a applicable. y = -÷+ cos (3x +).

A: Given Data The function is y=(-5/2)+cos(3x+π/2).   The general equation of cosine function with…

Q: 1. The height of the Ferris wheel in feet can be represented by the function 50 cos ( (x – 10)) + 52…

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Q: 6. * Show there is a root to the function f(x) = 9 sin x- 3 +2 on the interval (3, 1). Round to the…

A: Given: f(x)=9sin x-3x+2 and an Interval (3, 1). To show that there is a root to the function…

Q: 9. What is the period of the function f(x) a. 4π 5 b. 2 C. 2₁ = 2 (sin x)? d. 5π 2

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Q: Analyze the approximate value and the exact value for (7.2, 4.06) for the function z = x³y? sin(xy)…

A: Given below clear explanation

Q: 2. An object attached to a spring oscillates around a position and is represented by the function y…

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Q: 1- Find the approximate root of the following equation f(x)= cos x – x e = 0 , on the interval…

A: Here we use Newton's Raphson method to find the approximate root.