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mathematics
precalculus 1st

Questions and Answers of Precalculus 1st

For the following exercises, suppose sin t = x/x + 1,tan t
For the following exercises, let f(x) = cos x.Graph h(x) = x + sin x on [−100, 100]. Did the graph appear as predicted in the previous exercise?
For the following exercises, find an equation for the graph of each function. -2π -TT f(x) 10+ -10- T 1 2π X
For the following exercises, find the function if sin t = x/x + 1.sec t
For the following exercises, suppose sin t = x/x + 1,csc t
For the following exercises, let f(x) = cos x.Graph f(x) = x sin x on [0, 2π] and verbalize how the graph varies from the graph of f(x) = sin x.
For the following exercises, find an equation for the graph of each function. -0.01 x= -0.005 f(x) 4+ 3+ - -14 x = 0.005 0.01 X
For the following exercises, find the function if sin t = x/x + 1.cot t
For the following exercises, suppose sin t = x/x + 1,Given Figure 2,find the measure of angle θ to three decimal places. Answer in radians. Ꮎ 19 12
For the following exercises, find the function if sin t = x/x + 1. os (sin-¹ (x + 1))
For the following exercises, let f(x) = cos x.Graph f(x) = x sin x on the window [−10, 10] and explain what the graph shows.
For the following exercises, use a graphing calculator to graph two periods of the given function. Note: most graphing calculators do not have a cosecant button; therefore, you will need to input csc
For the following exercises, determine whether the equation is true or false.arcsin (sin 5π/6)) = 5π/6
For the following exercises, find the function if sin t = x/x + 1. tan V2x + 1
For the following exercises, let f(x) = cos x.Graph f(x) = sin x/x on the window [−5π, 5π] and explain what the graph shows.
For the following exercises, determine whether the equation is true or false. 5π arccos (cos (57)). = 5% 6 6
For the following exercises, use a graphing calculator to graph two periods of the given function. Note: most graphing calculators do not have a cosecant button; therefore, you will need to input csc
For the following exercises, let f(x) = cos x.A Ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is
For the following exercises, find the function if sin t = x/x + 1.Graph y = sin−1 x and state the domain and range of the function.
For the following exercises, use a graphing calculator to graph two periods of the given function. Note: most graphing calculators do not have a cosecant button; therefore, you will need to input csc
For the following exercises, find the function if sin t = x/x + 1.Graph y = arccos x and state the domain and range of the function.
For the following exercises, use a graphing calculator to graph two periods of the given function. Note: most graphing calculators do not have a cosecant button; therefore, you will need to input csc
For the following exercises, find the function if sin t = x/x + 1.Graph one cycle of y = tan−1 x and state the domain and range of the function.
For the following exercises, use a graphing calculator to graph two periods of the given function. Note: most graphing calculators do not have a cosecant button; therefore, you will need to input csc
For the following exercises, find the function if sin t = x/x + 1.For what value of x does sin x = sin−1 x? Use a graphing calculator to approximate the answer.
For the following exercises, use a graphing calculator to graph two periods of the given function. Note: most graphing calculators do not have a cosecant button; therefore, you will need to input csc
For the following exercises, use a graphing calculator to graph two periods of the given function. Note: most graphing calculators do not have a cosecant button; therefore, you will need to input csc
For the following exercises, find the function if sin t = x/x + 1.For what value of x does cos x = cos−1 x? Use a graphing calculator to approximate the answer.
For the following exercises, use a graphing calculator to graph two periods of the given function. Note: most graphing calculators do not have a cosecant button; therefore, you will need to input csc
For the following exercises, use a graphing calculator to graph two periods of the given function. Note: most graphing calculators do not have a cosecant button; therefore, you will need to input csc
For the following exercises, find the function if sin t = x/x + 1.Suppose you drive 0.6 miles on a road so that the vertical distance changes from 0 to 150 feet. What is the angle of elevation of the
For the following exercises, use a calculator to evaluate each expression. Express answers to the nearest hundredth.cos−1(0.8)
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes. 2sec ( 7 (x + 1)) h(x) = 2sec(
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, use this scenario: The population of a city has risen and fallen over a 20-year interval. Its population may be modeled by the following function: y = 12,000 +
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes. m(x) = 6csc(x+1) 3
For the following exercises, use this scenario: The population of a city has risen and fallen over a 20-year interval. Its population may be modeled by the following function: y = 12,000 +
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, find the angle θ in the given right triangle. Round answers to the nearest hundredth. Ө 10 7
For the following exercises, find the period and horizontal shift of each function.n(x) = 4csc (5π/3 x − 20π/3)
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes.j(x) = tan (π/2 x)
For the following exercises, find the period and horizontal shift of each function.Write the equation for the graph in Figure 1 in terms of the secant function and give the period and phase shift.
For the following exercises, use this scenario: The population of a city has risen and fallen over a 20-year interval. Its population may be modeled by the following function: y = 12,000 +
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes. (-x) = (x) en
For the following exercises, find the angle θ in the given right triangle. Round answers to the nearest hundredth. Ө 19 12
For the following exercises, use this scenario: The population of a city has risen and fallen over a 20-year interval. Its population may be modeled by the following function: y = 12,000 +
For the following exercises, find the period and horizontal shift of each function.If tan x = 3, find tan(−x).
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why.sin−1 (cos(π))
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes.f(x) = 4tan(x)
For the following exercises, suppose a weight is attached to a spring and bobs up and down, exhibiting symmetry.Suppose the graph of the displacement function is shown in Figure 1, where the values
For the following exercises, find the period and horizontal shift of each function.If sec x = 4, find sec(−x).
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why.tan−1 (sin(π))
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes. E|4 f(x) =tan(x+ 4)
For the following exercises, suppose a weight is attached to a spring and bobs up and down, exhibiting symmetry.At time = 0, what is the displacement of the weight?
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, graph the functions on the specified window and answer the questions.Graph m(x) = sin(2x) + cos(3x) on the viewing window [−10, 10] by [−3, 3]. Approximate the
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. -¹(sin()) 3 COST
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes.f(x) = πtan(πx − π) − π
For the following exercises, suppose a weight is attached to a spring and bobs up and down, exhibiting symmetry.At what time does the displacement from the equilibrium point equal zero?
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, graph the functions on the specified window and answer the questions.Graph n(x) = 0.02sin(50πx) on the following domains in x: [0, 1] and [0, 3]. Suppose this function
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. tan-(sin( in())
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes.f(x) = 2csc(x)
For the following exercises, suppose a weight is attached to a spring and bobs up and down, exhibiting symmetry.What is the time required for the weight to return to its initial height of 5 inches?
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, graph the functions on the specified window and answer the questions.Graph f(x) = sin x/x on [−0.5, 0.5] and explain any observations.
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. sin-¹(cos())
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes.f(x) = −1/4 csc(x)
For the following exercises, find the exact value without the aid of a calculator. sin−1 (1)
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, let f(x) = 3/5 cos(6x).What is the largest possible value for f(x)?
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. tan (sin( 4π
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes.f(x) = 4sec(3x)
For the following exercises, find the exact value without the aid of a calculator. COS اسکان
For the following exercises, let f(x) = 3/5 cos(6x).What is the smallest possible value for f(x)?
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, find the amplitude, period, phase shift, and midline.Water is pumped into a storage bin and empties according to a periodic rate. The depth of the water is 3 feet at its
For the following exercises, use this scenario: The population of a city has risen and fallen over a 20-year interval. Its population may be modeled by the following function: y = 12,000 +
For the following exercises, sketch two periods of the graph for each of the following functions. Identify the stretching factor, period, and asymptotes.f(x) = 2tan(4x − 32)
For the following exercises, use a calculator to evaluate each expression. Express answers to the nearest hundredth.arccos (3/5)
For the following exercises, graph one full period of each function, starting at x = 0. For each function, state the amplitude, period, and midline. State the maximum and minimum y-values and their
For the following exercises, find the amplitude, period, phase shift, and midline.The outside temperature over the course of a day can be modeled as a sinusoidal function. Suppose you know the
For the following exercises, graph two full periods. Identify the period, the phase shift, the amplitude, and asymptotes.f(x) = −csc(2x + π)
For the following exercises, rewrite each expression such that the argument x is positive.cos(−x) + tan(−x)sin(−x)
For the following exercises, use a calculator to evaluate each expression. Express answers to the nearest hundredth.arcsin(0.23)
For the following exercises, find the amplitude, period, phase shift, and midline.y = 8sin (7π/6 x + 7π/2) + 6
For the following exercises, graph two full periods. Identify the period, the phase shift, the amplitude, and asymptotes.f(x) = 2/3 csc (1/2 x)
For the following exercises, rewrite each expression such that the argument x is positive.cot(−x)cos(−x) + sin(−x)
For the following exercises, use a calculator to evaluate each expression. Express answers to the nearest hundredth.cos−1(−0.4)
For the following exercises, graph two full periods of each function and state the amplitude, period, and midline. State the maximum and minimum y-values and their corresponding x-values on one
For the following exercises, find the amplitude, period, phase shift, and midline.y = sin (π/6 x + π) − 3
For the following exercises, determine the amplitude, period, and midline of the graph, and then find a formula for the function.Give in terms of a tangent function. 127 00 X + 마이 키 à - 시 -12
For the following exercises, graph two full periods. Identify the period, the phase shift, the amplitude, and asymptotes.f(x) = 8sec (1/4 x)
For the following exercises, find the period and horizontal shift of each of the functions.If xsin x = 2, find (−x)sin(−x).
For the following exercises, evaluate the expressions.tan−1 (−1/√3)

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