# sinusoidal

1. ### Isolating Variable in Sinusoidal Function

Basically I'm trying to solve for d in f(x)=a*sin[k(x-d)]+c. I have the values of all the other variables so a simpler way of solving it is fine too.
2. ### Rate of Change in sinusoidal function

I'm having trouble finding the intervals in which the function A(t) = 0.25sin((Pi/730)t) + 0.55 is descreasing. The restriction on t is 0 <= t <= 2920 - Thanks
3. ### calculus in Sinusoidal Functions

in a sine wave: v=100sin(200π*t+π/4) 10.7) Using differential calculus, find the value of the greatest voltage rate of change – you have already found when this is and this value of t can be used in the expression for the rate of change that you have also found In a previous question, I found...
4. ### Word problem involving sinusoidal model

Could someone suggest a good way to solve it? Mine is just too "manual", and I don't like it. The function is: $y=30\sin(\dfrac{2\pi}{20}t)+270$ General principal solutions: $t=\left(\dfrac{\arcsin(\dfrac{1}{3}) 20}{2\pi}\right)+20k, k\in \mathbb{Z}$ $t=1.08173$ General symmetry...
5. ### Find sinusoidal function

Confused by the answer to C. For C) I got: $x=2\cos(6\pi t)+6$, alternatively: $x=2\sin(6\pi(t-\dfrac{95}{12}))+6$ I guess maybe it has something to do with restricting the domain to $t\geq0$ The answer to B) wasn't given, and so maybe my solution is also wrong...
6. ### Voltage output sinusoidal function problem

The voltage output (in volts) of an electrical circuit at time t seconds is given by the following function. V(t) = 22 sin(5πt − 3π) + 1 (e) During the first second, determine when the voltage output of the circuit is 3 volts. (Enter your answers as a comma-separated list. Round your answers...
7. ### Solving for x in a sinusoidal function

Hello, I have a homework question that asks to solve for x (which is time in seconds) in the sinusoidal function: y=4sin45x + 5, where y = 1 The answer is supposed to be 38, but I get 2 like this: 1 = 4sin45x + 5 -4 =4sin45x -1 =sin45x sin-1(-1) = 45x -90 = 45x x=-2 What have I done...
8. ### Radian or Degrees for Sinusoidal Function.

I am confused if I should be using radian mode or degree mode on my calculator to find the height.. I've posted the question below. I have to find the height of the Ferris wheel from the given angle. I'm confused because I'm solving to fill the table of values for the height, but the equation...
9. ### Sinusoidal function

Sketch a height versus time graph of the sinusoidal function that models each situation. Draw at least three cycles. Assume that the first point is at the lowest possible height. 1) a water wheel with a. Radius of 3m whose centre is at water level and that rotates once every 40s ? How am i...
10. ### So Lost ? Derivative of Exponential and Trig Functions.

If y=Acos(kt)+Bsin(kt) , where A, B and k are constants, show that d^2y/dx^2+K^2y=0 I just have no idea where to go with the question. Help would really be appreciated :)
11. ### Sinusoidal derivative

Please help solving this. If y= sin^3(4pix), show what d^2y/dx^2 - 3pi^2y will equal. If you were given what the expression equal, could you prove the equality? To see the equations (as i couldn't type them properly), look at the picture at question 6. Thanks.
12. ### sinusoidal applications and the derivative

Please help with these questions: 1.A marble is placed on the end of a horizontal oscillating spring. For the given signal determine: i) the period, T, in seconds ii)the frequency, f, in hertz iii) the amplitude, A, in volts 2. consider a simple pendelum that has a length of 50cm and a...

14. ### differentiate sinusoidal function

Question: Differentiate with respect to x a. y=3sin^2(2x-4) - 2cos^2 (3x+1) b. y=sin(x^2 + pi) My teacher says for these questions, i need to use the product rule/chain rule/power rule/sum or difference rule/quotient rule etc. I know the derivative of y=sinx is y'= cosx and the derivative of...
15. ### sinusoidal function need help!

sinusoidal function need help! need this asap for a test and i don't know how to solve it when it doesn't have an x in the equation problem is : find the a, b, c ,d of y=25sin(1.3pi+0.4pi*t)+28 i know a is 25 d is 28 how to solve b and c?
16. ### sinusoidal function need help!

sinusoidal function need help! need this asap for a test and i don't know how to solve it when it doesn't have an x in the equation problem is : find the a, b, c ,d of y=25sin(1.3pi+0.4pi*t)+28 i know a is 25 d is 28 how to solve b and c?
17. ### sinusoidal function need help!

need this asap for a test and i don't know how to solve it when it doesn't have an x in the equation problem is : find the a, b, c ,d of y=25sin(1.3pi+0.4pi*t)+28 i know a is 25 d is 28 how to solve b and c?
18. ### Period of a Sinusoidal Function

... At t= 1 the chair is closest to the wall and d(1) = 18cm . At t = 1.75s the chair is farthest from the wall and d (1.75) = 34cm. What is the period? Is it 0.75s ? because the back of the book says 1.5s!
19. ### Sinusoidal Function

A bug has landed on the rim of a jelly jar and is moving around the rim. The location where the bug initially lands is described and its angular speed is given. Impose a coordinate system with the origin at the center of the circle of motion. For each of the scenarios below, answer the two...
20. ### Sinusoidal Graph question

Hey everyone, I'm at a question that I'm a little stumped on the method of solving, and there is no solution guide in the textbook :(. 4. In a New Zealand city the time of sunrise can be found using the trigonometric function T= 4.5sin(pi(d-4)/180)+4.9 where T is the number of hours past...