Given the constants of the function in the form of y = a cot (bx + c) + d, which of the following is the function's appropriate graphical representation? (Average) vertical stretch: 0.1 (a >0) period: 2 phase shift: 1/2 vertical shift: 1

Q: In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function T(t) = 45 +…

A: Solution of given question is written in below steps.

Q: Graph the function over a two-period interval. y = 1+ tan x Choose the correct graph below. OA. OB.…

A: This question is based on graph of tan(x) .

Q: In a certain city the temperature (in °F) e hours after 9 AM was modeled by the function TG) = 49 +…

A: The temperature is modelled by the function Tt=49+12sinπt12. The average value of a function fx from…

Q: For the function g (t) = – tan(2t 4 State the period and the phase shift. Give the equations of the…

A: Given: gt=-tan2t-π4

Q: In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function nt T(t) =…

A:

Q: Find a function of the form y = A sin(kx) + C or y = A cos(kx) + C whose graph matches this one: 6-…

A: To find the equation of the graph.

Q: Graph two periods of the given tangent function. Next Question 1 tan 2x y=5 1 Choose the correct…

A: Solution: we have , y=1/2 tan2x we are using graphing tool to make graph

Q: For the given function, find the period and the vertical stretch/shrink. Type in 'pi" in place of…

A:

Q: sketch the graph of the following tangent and contangent functions and determine the domain, range,…

A: 1)f(x)=3 tan 2x We use the form  a tan (bx-c)+d, to find the variables to find the period and phase…

Q: Sketch the graphs of the following functions.(a) y − sin 2x (b) y − 1 2 sin x

A: We've to sketch the graph of function f(x,y) = y - sin 2x Let's take the domain of x = [-π,π] and…

Q: For each Function, sketch its graph and indicate the parameters ( period, phase shift, domain and…

A: The given function is y=tan122x+π4-2 The function can be written as: y=tanx+π8-2 Comparing it to the…

Q: The graph of y= sin(x) is first vertically stretched (centered at the x-axis) by a factor of 7, then…

A:

Q: Find a function of the form y= A sin(kr) + Cor y= A cos(kr) +C whose graph matches the function…

A: Consider a sinusoidal function of the form, y = A sin(kx) + C               ...(1) Where,…

Q: Graph two periods of the given tangent function. y = 6 tan Choose the correct graph of two periods…

A:

Q: Do the graphs of the functionshave any horizontaltangent lines in the interval 0≤ x≤ 2p? If so,…

A: We find dy/dx using the quotient rule

Q: Do the graphs of the functionshave any horizontaltangent lines in the interval 0≤ x≤ 2p? If so,…

A: The given function : y = x + 2 cos x

Q: The amount of water, A, in thousands of litres, available in a water tank located on a farm…

A: t      = time duration in weeksA(t) = amount of water in tank at time tT      = Time period of the…

Q: For each Function, sketch its graph and indicate the parameters ( period, phase shift, domain and…

A: y=2sin14x+π4-1 We need to Sketch the function and indicate the parameters Period, phase shift,…

Q: Write an equation for a function with the given characteristics. A sine curve with a period of n, an…

A:

Q: The average observed population of woodland caribou in Wood Buffalo Provincial Park is modeled by…

A: p(t)=800 cos(π3t)+3000period of cosine functionf(x)=Acos(Bx+C)+Dperiod=2π|B|

Q: Write an equation for a function with the given characteristics. A cosine curve with a period of T,…

A:

Q: 10) For each defined function, give the amplitude, period, vertical translation, and phase shift, as…

A: Topic:- periodic function

Q: f(x) =tan 2 + + 2 Let the function а. Identify the amplitude, period length, phase shift, and…

A: Given, the function                             f(x)=tanπ2x+π6+2 In order to draw the graph see the…

Q: 1. Graph the following function. Determine the period, phase shift, vertical displacement, domain,…

A: We need to draw the graph.

Q: Find a function of the form y = A sin(kr) + C or y = A cos(kz) +C whose graph matches this one:…

A: topic - trigonometric functions

Q: 1. Sketch the graphs of each of the following functions for x between 0 and 27. Label the x-axis in…

A: cos x and sin x are sinusoidal curves.

Q: Based on the graph above, determine the amplitude, midline, and period of the function. Work only…

A: Ans is given below

Q: For each Function, sketch its graph and indicate the parameters ( period, phase shift, domain and…

A:

Q: Choose the correct equation for the function of the graph shown below. 0.2 -T1/4 T1/4 -0.2 -0.4 y=…

A:

Q: 2. Assuming that there is no vertical shift, find a function that describes with the following…

A:

Q: The horizontal displacement of a swinging pendulum is given by f(t) = 1.5 cos(t)e-0.05t, where f(t)…

A: Given function is : ft=1.5 cost e-0.05t , f(t) is the horizontal displacement

Q: Find a function of the form y = A sin(kr) + C or y = A cos(ka) + C whose graph matches the function…

A: From thr givrn graph, we have to find its equation

Q: The amount of water, A, in thousands of litres, available in a water tank located on a farm…

A: Given: The amount of water, A, in thousands of litres, available in a water tank located on a farm…

Q: Find the exact acute angle 0 for the given function value. V3 tan 0 =

A:

Q: Find the exact acute angle 0 for the given function value. cos V3 2 s 0 = 0 =

A: On solving ,we get

Q: Graph two periods of the given tangent function. y = tan x- Choose the correct graph of two periods…

A: Given y=tan(x-π6)

Q: 3. If a body of weight W pounds is dragged along a horizontal floor at constant velocity by means of…

A: Consider the given function F=kwksinθ+cosθ

Q: The normal monthly high temperatures H (in degrees Fahrenheit) in Erie, Pennsylvania, are…

A: (a) Period of the function H(t)=12 months. Period of the function L(t)=12 months. Since, same value…

Q: (i) One month later, the tower is holding 21.5 million kilograms of water, when it experiences a…

A: Firstly, we need to find the spring constant. It's given that the restoring force is 1.45 million…

Q: 1.4 Consider the tollowing two functions: © «W) = ( dx %3D exp 2 tan-(v) (ii) p(v) = %3D Explain why…

A:

Q: Find a function of the form y = Asin(kæ) + C or y = A cos(kæ) + C whose graph matches this one:…

A:

Q: Given the constants of the function in the form of y = a cot (bx + c) + d, which of the following is…

A:

Q: A particle moves in a straight line. At time t seconds its displacement x metres from the origin is…

A:

Q: ind the second derivative (y") of the following function step-by-step and simplify the nal results:…

A:

Q: Identify the amplitude, midline, period, and horizontal shift of the following functions below. f(t)…

A:

Q: Find a function of the form y = A sin(kæ) + C or y = A cos(ka) + C whose graph matches the function…

A: Form the graph given we can conclude that the graph is that of cos(πx/3) We know that, y= cos (πx/3)…

Q: For the Function, sketch its graph and indicate the parameters ( period, phase shift, domain and…

A: Consider the given trigonometric equation  y=sec124x+2π3+2   =sec2x+π3+2 Compare it with the general…

Q: In Frosto City, the temperature (in degrees Fahrenheit) t hours after 9am was modeled by the…

A:

Q: For the function f(x)=−2sin(x−π4), determine its amplitude and period, and then graph it for two…

A:

Q: Graph two periods of the given secant function y sec Choose the correct graph of two periods of y…

A: Given function is  y=secx2