8) Determine the amplitude, period, domain and range for each function. Sketch at least two cycles and label key points on the graph. 1 (a) y=sin(x) +1 (b) y = 2-4 cos(31)

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A: 1) a=20, b=16, B=60 According to the Law of Sines: asin(A)=bsin(B)=csin(C)   From the above formula,…

Q: A rectangular pool garden measures 21 meters by 34 meters and has a cement walkway around its…

A: length of garden=34m length of garden and walkway = w+34+w = 34+2w

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A: The equation of the projectile is provided in the question itself.  Given information: Range = r =…

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Q: 12. An environmental club is designing a logo using triangles, as shown A at the right. If the top…

A: Given query is to find the perimeter of the logo. We

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A: Given 1. Jacksonville, FL:30°20' 2. Charleston, WV:38°21' 3. Radius of earth, r=3960 miles

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A: Given 1. a=21 2. b=24 3. c=60

Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.)…

A: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.)…

Q: An observer views the space shuttle from a distance of x = 3 mi from the launch pad. x mi (a)…

A:

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A: Find x-intercept

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A: (a) cos231° − sin231°

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A: The objective is to find the magnitude of vertical and horizontal component .

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Q: and the cube of z

A: y varies jointly as x and the cube of z and inversely as the square root of w. So,y =…

Q: C A 120° 45 36 B

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A: Recall: Simple harmonic motion

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A: We have to tell the amplitude of the graph

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A: NOTE: Refresh your page if you can't see any equations. . x (time in hours) y (cost in dollars)…

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Q: Which of the following is the correct graphical representation to this system of equations? y = 5 2x…

A: The system of equations is y = 52x+3                         .......1y = x+9…

Q: 1 2 3 5 7 8 9 10' cm

A: Given figure:-

Q: How did you get 2.727 in the 3rd step?

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Q: find the horizontal shift of the function: y = 1 + cos(4x+pi/2)

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Q: 3. A tree on a hillside casts a shadow c = 200 ft down the hill. If the angle of inclination of the…

A: NOTE: Refresh your page if you can't see any equations. . here we have a=45 b=25 c=200 feet…

Q: Find sin 2x, cos 2x, and tan 2x if tanx=-2 and x terminates in quadrant IV. sin 2x = 11 cos2x = 0…

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Q: The population sizes of many animal species rise and fall over time. Suppose that the population…

A: The solution is given below

Q: Find the range of the following function. f(x) = 3 cos(12x) +5 Its range is Now find the inverse…

A: NOTE: Refresh your page if you can't see any equations. . the range of the cosine function is -1 to…

Q: This is a 30-60-90 triangle. What is the measure of x? X 10 X = [?]√[ ] Enter

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Q: x)=x2+8x+11 complete the square by entering correct number into the expression f(x)=(x+()²+()

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Q: 8 Given the function defined in the table below, find the average rate of change, in simplest form,…

A: The function defined in the table, x f(x) 10 25 40 55 70 85 6 9 12 15 18 21 We have to…

Q: Which is equal to cos? 2π 3 2/5455 3 O cos O sin 2T 3 O cos O sin

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Q: Analyze this sequence: 6, -16, -48, -90, -142  Please give the Explict Function   please create a…

A: Let's find explicit function.

Q: Factor and simplify. Type your answer in terms of sine and/or cosine. 10 cos 20+9 cos 0+2 2 2 cos…

A: The answer is given below:

Q: The ratio identity for tangent = sine / Blank 1 Blank 1 Add your answer Question 5 The ratio…

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A: Explained below

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Q: 一寸 34 2 -2 114 t

A:

Q: f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 0 < x…

A: Here, the function values from the graphs are: f(0)=10 &amp; f(5)=-10

Q: Use the suggested substitution to write the expression as a trigonometric expression. Simplify your…

A: Here, the given expression is: x2-16  To substitute x=4sec θ

Q: (a) (i) Given that tan 2x+tan x = 0, show that tan.x = 0 or tan²x = 3. (ii) Hence find all solutions…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2 x ²² - 4x -15 =0 2x² - 6x - 8 = 0 ах

A:

Q: #10 펌 4987 15 11 #37 ||| #20 170° 11 지에 3122

A: Topic:-  trigonometry

Q: Find all xE[0,2pi] that satisfy sin 2x + cos x = 0 x =

A: Topic- Trigonometric Equations We are given, sin(2x)+cos(x)=0 and x∈[0,2π] We know that sin(2x)=2sin…

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Q: sin(theta) = -2/7 and (theta) is in quadrant III, evaluate the following. Leave results as exact…

A: Given query is to find indicated trigonometric functions.

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Q: I Find sin 0. B 1 (-7,-8) ?]√[

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Q: I. Find the derivative of the following inverse trigonometric functions. 3. y = xarcsinx + √1-x²

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The Product rule:…

Q: Find tan a. (-15, 8) a Type + or - [?] Enter

A: