E = sin t. 14

Q: Write an equation for the function that is described below.  A sine curve with a period of 4π, an…

A: We have to write a  equation for sine function.

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

A: Given that the amplitude= 5. So, a=5 Period = 4π, so, b=2π/ period= 2π/4π = 1/2  Right phase shift=…

Q: What is the phase shift for the function f (x) = cos (x +)? State the direction.

A: NOTE: Refresh your page if you can't see any equations. . factor out 1/3

Q: PART C QUESTION 1 Differentiate the following functions with respect to x: а) y = e3* cosh (x?)

A: The objective of the question is determine the derivative of the given function.

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

A: Please rate

Q: Write a function of the form y=A cos (Bx-C)+D that has period 8, phase shift -2, and the range…

A:

Q: A microphone recorded the following sound/pressure wave over time. 180 140 Time (s) 100 4 12 20 24…

A:

Q: Determine the midline, amplitude period, and phase shift of the function = }cos( } - 5) . IT

A: To solve the following problem

Q: Suppose the function cos(t) is shifted 5 units upward. What is the equation of the new function?

A: To determine The equation of the new function if the function cos(t) is shifted 5 units upward.…

Q: Kindly confirm or refute the amplitude, period, vertical shift, x-axis reflection, and phase shift…

A: First of all, we will look at the mentioned terminologies in the general formula, Y = A Sin(B(X-H)…

Q: Question 7 Let f(x) : (cot(x))ª. Use logarithmic differentiation to find an equation of the tangent…

A: Differentiate at given point then use equation of tangent line

Q: 17. The hourly temperature at Portland, Oregon, on a particular day is recorded below. 1 2 3 4 5…

A: We have to find  amplitude, verticle shift, period, sinusoidal function,  models temperature at 10…

Q: Find the slope of the graph of the function at the given point.                         f(x) = 5 cos…

A: According to the question, we have to find the slope of function fx=5 cosx-9x at the point 0,5. The…

Q: 13. Write a sine function with a horizontal shift of h=1.

A:

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: Write a function of the form y =A cos (Bx-C) +D that has period 4, phase shift -1, and the range 4…

A:

Q: People who believe in biorhythms claim that there are three cycles that rule our behavior—the…

A: Given  emotional fluctuation is, E=sinπt14

Q: Question 9 Use your value of x to calculate a value for e* from the first four terms. Compare the…

A:

Q: 3. Identify the function with a period of 4 and an amplitude of 2. Function B Function Function D…

A: which function?

Q: Determine the A amplitude , P period and Ph phase shift .

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: What is a periodic function? Why are the sine and cosine functions periodic?

A: Periodic function is a function which repeats its value after a regular interval. If fx+T=fx then…

Q: Figure 8 shows the graph of the position s of an object as a function of time t. Determine the…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: For the function h(x) given in the graph 02 04 06 08 12 14 16 18 -2- -4 its amplitude is its period…

A:

Q: Find the Following (show formulas used to find Period and Phase Shift):  y= 5cos(pie 4x − pie) show…

A:

Q: For each scatter plot, decide what type of function you might choose as a model for the data. (a) ya…

A: Graphs

Q: What is the amplitude and period of the function shown below?

A: To find: Amplitude and period of a given sinusoidal function.

Q: 17. The hourly temperature at Portland, Oregon, on a particular day is recorded below. LAM. 46 3. 8.…

A:

Q: Given an object in damped harmonic motion, the amplitude (increases/decreases) with time

A:

Q: The sound wave for A above middle C may be described by the function f(t) =0.001sin 8807a. Determine…

A: Topic = Functions

Q: People who believe in biorhythms claim there are three cycles that rule our behavior - the physical,…

A: The given data is: E=sinπ10t (a) To find E corresponding to t=25, 30, 35, 40, and 45

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: The table shows the highest daily temperature in degrees Fahrenheit averaged over the month for…

A: Given data is:

Q: f(t) = a sin(?(t − c)) + b

A: Given, Circadian rhythms are biological processes that oscillate with a period of approximately 24…

Q: Determine the (1) amplitude, (2) period, (3) any vertical translation, and (4) any phase shift of…

A: We will solve the problem

Q: refers to the height or curve of a function. B. period C. phase shift A. amplitude D. upward 6.…

A: Explained below

Q: Come up with a function relating to your own work, hobbies, or life experience that could fit a…

A: Given Come up with a function relating to your own work, hobbies, or life experience that couldfit a…

Q: 17. The hourly temperature at Portland, Oregon, on a particular day is recorded below. 1 A.M. 3 4 5…

A:

Q: Question 26 Calculate the second derivative of the function y = In(cosx). A -sec'x B) -csc2x csc?x…

A:

Q: The hourly temperature at Portland, Oregon, on a particular day is recorded below.   1 A.M. 2 3…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

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

A: Given that the required cosine curve is with a period of π, an amplitude of 1, a left phase shift of…

Q: The population of fish in a pond can be modeled with the following sinusoidal function, where t is…

A:

Q: Determine the amplitude, period, and phase shift (if any) of the given function. y = - 5cosx The…

A:

Q: 9. Astronomers have noticed that the number of visible sunspots varies from a minimum of about 10 to…

A: Topic = Functions

Q: refers to the height or curve of a function. B. period 5. A. amplitude C. phase shift D. upward 6.…

A: Given that, There are two questions. We have to choose correct option of both questions.

Q: 4. Use a sine function to describe the height of the tides of the ocean if high tide raises the…

A: The high tide of the ocean raises the water level to 5 m at noon and low tide drops it down to 1 m…

Q: Write an equation for a function with the given characteristics. A sine curve with a period of 8T,…

A:

Q: Suppose that Tammy's blood pressure can be modeled by the following function. p (t) = 91 +24 cos (89…

A: Given,        p(t)=91+24cos(89πt)

Q: 1+cosecx y = 1- cosecx

A: Since you have asked multiple questions , we will solve first question for you. If you want any…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.