Sine and Cosine Functions | Wyzant Ask An Expert
2020年10月16日 · Sine and Cosine Functions. A Ferris wheel has a diameter of 60 feet. When you start at the top of the Ferris wheel, you are 62 feet from the ground. The Ferris wheel completes one rotation in 2 minutes. 1. Create a graph that represents your height relative to the center of the Ferris wheel as a function of time, using the image below as a guide.
The graph of one complete period of a cosine curve is given
Simon G. asked • 04/21/20 The graph of one complete period of a cosine curve is given. Find the amplitude, period, and horizontal shift.
A sine curve with a period of 8𝜋, an amplitude of 5, a left ... - Wyzant
Natalie N. asked • 11/04/23 A sine curve with a period of 8𝜋, an amplitude of 5, a left phase shift of 𝜋/4, and a vertical translation down 4 units.
I NEED HELP UNDERSTANDING THIS PLEASE | Wyzant Ask An Expert
2022年3月16日 · Lastly, an unshifted cosine function will begin at a peak, when x = 0. This cosine function has a peak when time = 4, meaning it is shifted right by 4 from a normal cosine curve. So C = - 4. Putting all together, we get the following: x: time elapsed since midnight (in hrs) y: depth of water (in ft) y = 2cos(π/6(x - 4)) + 4.
Find the area under one arch of the curve y = sin(2x)
2021年5月17日 · sin(2x) = 0 when x = 0 and π/2 which covers one arch. A = ∫ 0 π/2 sin(2x) dx = -cos(2x)/2| 0 π/2 = -(-1/2) - (-1/2) = 1 units 2
sin and cosine equations | Wyzant Ask An Expert
2022年1月20日 · The generic cosine function is: where "A" is the amplitude, "B" defines the period where the period is 2π/B, "C" is the horizontal shift or phase shift, and "D" is the vertical shift or midline location. We can just plug in A = 3, C = π/2 and D = 5 but we need to calculate "B". since the period is 2π/B then B = 2π/period so B = 2π/(4π) = 1/2
Cosine function | Wyzant Ask An Expert
2016年11月11日 · About this tutor ›. The form of the function is y = Acos (Bx+C) + D. Amplitude = lAl = 1/3 Since you mention "negative function", I am assuming that you mean an inverted cosine graph. So, A = -1/3. Period = 2π/B 2π/B = π/3 So, B = 6. Horizontal shift = -C/B = -C/6 = -2π So, C = 12π. Vertical shift = D = -3. Therefore, y = (-1/3)cos [ 6x ...
sketch the curve given by each pair of parametric equations
2024年5月12日 · This being a parametric set of equations for the curve we might use three columns in the table, one for t, one for x, and one for y. You can create rows in the table for t = -4, -3, -2, ... ,etc. up to t = 3, 4
The depth of water at the end of a pier varies with the tides
2021年1月8日 · Connect with a smooth curve. Use a graph similar to the one below. (do not use the one below – too small!) d) Calculate the values of the Amplitude, Axis of the wave and Period. e) From the information in (d) and the appropriate Phase Shift, write a cosine equation that models the depth of the water
Find the equation of a sine wave that is obtained by shifting the …
Shauna H. asked • 07/19/21 Find the equation of a sine wave that is obtained by shifting the graph y=sin(x) to the right 3 units and downward 3 units and is vertically stretched by a factor of 6 when compared to y=sin(x)