Recent content by Imperil

Thanks so much dx I really appreciate your time :)

Sorry yes that was a typo from a mistake I made on an old page. I just checked by using x = 1 for a point on the circle and I believe that my answer is correct the way I have it (I edited the mistake)? I just tested with x=1 point on the circle and the lines now seem to be perpendicular

In a backyard, there are two trees located at grid points A(-2, 3) and B(4, -6). The family cat is walking in the backyard. The line segments between the cat and the two trees are always perpendicular. Find the equation of the locus of the cat. My Answer: slope PA = (y - 3) / (x + 2) slope PB...

This is what I was thinking of as the graph will cross x at 4Pi/3 and 5Pi/3, so I was thinking that the feature to show the solution would be the x-intercepts. Is this correct? I originally thought this but then was confused by the words "feature of the graph"

a) Use the special triangles and the CAST rule to solve the equation 2sinx + \sqrt{3} = 0 for the domain interval 0 \leq x \geq 360. b) What feature of the graph, in the form y = asinx + b, would show the solutions? My Answers: a) sinx = -\sqrt{3}/2 x = -60 degrees 180 + 60 = 240...

Sorry the equation I listed t = 1.5s which then makes y = 0m

Yes I am using X as time and Y as the height of the wave :) Also that would leave the value of t at which y = 0 1.5s would it not? 2.6sin(Pi * 1.5) + 2.6 = 0 The big problem I have now though is part A of the question. Since it doesn't state to use 0m as the trough I believe the proper...

Ok I am a little confused So for part A of the question my function 2.6sinPi(x) is correct because all it states is a sine wave with an amplitude of 2.6? For part B I'm unsure why I need to phase shift because no matter how much I shift, the trough will always be -2.6 will it not? That is...

Use the "bow-tie" diagram to state the value of each trigonometric ratio. a) sin 45 b) cos 60 c) tan 30 d) tan 45 My Answer: a) 1 / \sqrt{2} b) 1 / 2 c) 1 / \sqrt{3} d) 1 Once again with this text the wording has thrown me off. It asks for the ratios but throws in that you should...

Ah so you are saying that my original thought of: 2.6sinPi(x) + 2.6 Is correct then because I need the center to be lifted by 2.6m in order to make the trough 0. Am I right in thinking this?

During a storm, waves pass a fixed point every 2s. The difference between the crest and the trough of any wave is 5.2m a) Write the equation of the sine wave that models the height of a point on the water wave. b) Graph using 0m as the trough My Answer: 2Pi / k = 2 k = Pi 2.6sinPi(x) I...

Great thanks so much for the help guys I really appreciate it :)

During a strong wind, a tall building, such as the CN Tower, can sway back and forth as much as 100 cm, with a period of 10s. b) Write an equation for this function, in the form y = a sin kx My answer: 2Pi / k = 10 10k = 2Pi k = Pi/5 y = 100sin(Pi/5)x Now my question is...

Oops sorry about that I typed it in wrong :( I meant the following: c) 30m = 1800s period = 2 1800s / 2 = 900 Therefore the piston makes 900 complete cycles in 30 minutes. Thanks for pointing that out.

A piston in a large factory engine moves up and down in a cylinder. The height, h centimeters, of the piston at t seconds is given by the formula h = 120sinPi(t)+200. a) State the amplitude and period. b) What are the maximum and minimum heights of the piston? c) How many complete cycles...