Q: What is the period of the function graphed below? A
A: Topic:- function
Q: Graph the following function.what is the period of Runction? y=-Sin IA Y=- Sin tx
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Q: 3) y=tan 0
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Q: Determine a function that would have a graph as in Figure, stating the period and amplitude
A: Given: Determine a function that would have a graph as in Figure, stating the period and amplitude
Q: Find the function value without using a calculator. cos(-45°)
A: Find the function value without using a calculator. cos(-45°)
Q: What are the amplitude and period of the function graphed below?
A: Amplitude : It is half the difference between the maximum and minimum of a periodic function. Period…
Q: State the Properties of the Sine and Cosine Functions.
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Q: Find the function value without using a calculator. sin 60°
A: It is known that in a right angled triangle with a angle θ,the sine angle is defined as the ratio of…
Q: Write a cosine function that has a midline of 5, an amplitude of 4 and a period of .
A: We will use standard form of Cosine function here
Q: Identify the amplitude and period of the graph of the function part 1 part 2
A: I have answered this question in step-2.
Q: Determine the amplitude and period of the following function without graphing. y = 6cos(piX)
A: Amplitude of the function is 6.
Q: What is the period of a function?
A: Period of the function: The function f is said to periodic function if there exist P in ℝ such that…
Q: Based on the graph above, determine the amplitude, midline, and period of the function Amplitude:…
A: SOLUTION: Amplitude=5-(-1)=6 Period=1-(-3)=4 Midline, Y=2
Q: Determine the amplitude, period, phase shift and vertical shift of the following functions.
A: Given : y=2 sin 4x-12+3 = 2 sin…
Q: Based on the graph above, determine the amplitude, midline, and period of the function 69
A: Amplitude is given by: 7--12=4
Q: Find the amplitude, period, midline and then graph the function.
A: a) Given data: The given function is y=3sin(x). The amplitude of the given function is, A=3 The…
Q: The period in the function below is: -2 2n
A: Solve for period
Q: Determine the period of the function f (x) = COS Periods radians
A: Given function is cos(7x/3)
Q: Determine the amplitude and period of each function without graphing;
A: The standard form of sine function is given as y=a sinbx+c+d, where the amplitude is equal to a. The…
Q: Find the amplitude,  period, and horizontal shift of the function?  Y=4sin(2/3x-pie/6)
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Q: Determine the amplitude and period of the function y = - 3sin 2πx. Then graph one period of the…
A: To determine: Amplitude & period of y=-3 sin2πx. Also, to graph one period of the given…
Q: Write a cosine function that has an amplitude of 5, a midline of 3 and a period of 4
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Q: Determine the amplitude and period of each function without graphing. y=sin2x
A: we have to determine the amplitude and period of each function without graphing. y=sin2x
Q: graph the function using radians in #2
A: Plot the graph of the given functions.
Q: Find the amplitude, equation of the midline, period of the function, and equation of the function…
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Q: What is the amplitude and period of the function shown below?
A: To find: Amplitude and period of a given sinusoidal function.
Q: Construct the trigonometric function below by fixing the Amplitude and Period. y=1/2cosx in graph…
A: The general form of cosine trigonometric function is y=acosbx-c+d .Note the following results :…
Q: Graph one period of the function y=cos(2x). Label the axes, and plot 5 points on the graph. State…
A: The given equation, y=cos(2x)
Q: What is the amplitude and period of the function shown below?
A: We have to calculate amplitude and period of the given function from the graph.
Q: Write a cosine function that has a midline of 5, an amplitude of 2 and a period of 3/2
A: Midline of 5 → dc addition of 5period of 32→t0=32→w = 2π32 = 43πAmplitude of 2→ multiply cos…
Q: What is the amplitude of the periodic function?
A: A sinusoidal function is a function obtained from a sine curve by transformations like stretching,…
Q: Find the amplitude and period of the function. y = 6 sinx) amplitude period Sketch the graph of the…
A: NOTE: Refresh your page if you can't see any equations. . compare this equation with so here we…
Q: Based on the graph above, determine the amplitude, midline, and period of the function
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Q: c. State the period and amplitude of the function
A: For given graph, Period: It's length or portion of the time. Amplitude: The maximum displacement or…
Q: Graph the function r=2−3 sinθ
A: The given function is r=2−3 sinθ.
Q: Identify the amplitude, midline, period, of the following function and then write its equation using…
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Q: Find the period of a sine or cosine function.
A: Given The functions are sin θ and cos θ .
Q: Find the amplitude, period, and horizontal shift for each function. a) y=80sin3( x − ( (pi) / 2) )…
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Q: Sketch the functions and what is the period of each functions?
A: Given, The function is y=-4cosx .We know that, For the function y=AcosBx+C then…
Q: Write a sine function that has a midline of 3, an amplitude of 4 and a period of .
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Q: Based on the graph above, determine the amplitude, period, midline, and equation of the function.…
A: In this question, we have describes the components about the given graph.
Q: ) Identify the amplitude, the period, any vertical tra hase shift of the graph of the function.
A: The given graph is y=-32cos12x+3π4+1 compare with; y=AcosBx+C+D
Q: Construct the trigonometric function below by fixing the Amplitude and Period. y=−1sin2x in graph…
A: To Determine :- The trigonometric function below by fixing the Amplitude and Period in graph form :…
Q: Based on the graph above, determine the amplitude, period, midline, and equation of the function Use…
A: From the given graph : Amplitude :
Q: What is the amplitude of the sine function? What does this tell you about the graph?
A: If the function is given as y=sinx is called the sine function. For the value of x as, -π2≤x≤π2…
Q: Find the amplitude, period, Face shift and vertical shift: y=-sin(x/2+pi/8)-1
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- A water wheel has a broken bucket like in the diagram below.The height of the broken bucket, in meters, above the surface of the water, y, after x seconds can bemodeled by the function shown below. y = 3.2sin(0.42x - 2.1) +1.9 5. In each rotation, the length of time that the broken bucket is visible above the surface of the water can befound by analyzing theA. y-interceptB. period of the functionC. difference between the two smallest positive x-interceptsD. difference between the maximum value and the minimum value of the function 6. The diameter of the water wheel is the A. y-interceptB. period of the functionC. difference between the two smallest positive x-interceptsD. difference between the maximum value and the minimum value of the functionsuppose that the length of time between consecutive high tides is 12 hours and 26 mins. on a particular day the high tide occurred at 12:26 am (0.43 hours) and the low tide occurred at 7:07 (7.12 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 5.94 feet and the height of the water at low tide was 0.04 feet. The next high tide will occur at 12:52pm. Find the sinusoidal function of the form of sinGiven the function y= -4sin(3x-45)+2, (a)state the mapping rule (b) state 5 critical points of the function y=sinx and their new location under the transformations given by y= -4sin(3x-45)+2 (c) sketch the function y= -4sin(3x-45)+2 showing two complete cycles
- A 100-gal tank initially contains 25% dye solution. A 40% dye solution is allowed to enter at a rate of 10 gal/min and the resulting uniform mixture is removed from the tank at the same rate. Derive an expression for the amount of dye in the tank as a function of time. Find the time t at which the tank contains 26% dye solution.According to the Old Farmer’s Almanac, in Anchorage, Alaska, the number of hours of sunlight on the summer solstice of 2010 was 19.42 and the number of hours of sunlight on the winter solstice was 5.48. (a) Find a sinusoidal function of the form y=Asin(ωx- ϕ)+B that models the data. (b) Use the function found in part (a) to predict the number of hours of sunlight on April 1,the 91st day of the year. (c) Draw a graph of the function found in part (a). *(d) Look up the number of hours of sunlight for April 1 in the Old Farmer’s Almanac,and compare the actual hours of daylight to the results found in part (c).In a city the number of hours of sunlight on the summer solstice of 2015 was 18.42, and the number if hours of sunlight on the winter solstice was 5.44. (Hint: the summer solstice occurs on the 172nd day of the year and there are 365 days until the next one.) Find a sinusoidal function of the form y = Asin that models the data. y = ___sin (___x - ___) + ___
- Determine the amplitude and period of y = -3 cos πx/2. Then graph the function for -4 ≤ x ≤ 4.The height (in inches) of a toy that moves up and down on a spring can be modeled by the function y=−(cosx)+2(cosx)(sinx) where x is time in seconds. Within the interval 0<x<6, when does the toy reach its minimum height? What is that height? a height of -0.369 inches at 2.139 seconds a height of 1.76 inches at 3.776 seconds a height of -1.76 inches at 5.647 seconds a height of 0.369 inches at 1.003 secondsDetermine the amplitude and period of y = -4 cos πx. Then graph the function for -2 ≤ x ≤ 2.
- Graph the function 2sin(pi(x-1))+1 over one period. Label maxima. Minima and interceptsThe monthly cost C, in dollars, for wirelessdata plans with x gigabytes of data included is shown in thetable on the top left column of the next page. Since eachinput value for x corresponds to exactly one output valuefor C, the plan cost is a function of the number of datagigabytes. Thus C1x2 represents the monthly cost for awireless data plan with x gigabytes included. (a) Plot the points 14, 702, 16, 802, 110, 1002, and so on ina Cartesian plane.(b) Draw a line segment from the point 110, 1002 to130, 2252. What does the slope of this line segmentrepresent?(c) Find the average rate of change of the monthly costfrom 4 to 10 gigabytes.(d) Find the average rate of change of the monthly costfrom 10 to 30 gigabytes.(e) Find the average rate of change of the monthly costfrom 30 to 50 gigabytes.(f) What is happening to the average rate of change as thegigabytes of data increase?Find the exact value of the trignometric functions (and show the steps on how to solve the problem and any problem similar to it.)