Sketch two complete cycles of the sinusoidal function described in the scenario.

the temperature of a liquid varies sinusoidally as it is heated and then cooled repeatedly during an experiment. the temperature of the liquid is initially 12°c. the liquid is heated and reaches its first maximum temperature of 18°c after 2 minutes. the liquid is then placed in an ice bath and cooled to its minimum temperature.

    Graph attached below

Step-by-step explanation:

Since we don't know the units of the axis, i will assume the y axis represent temperature in celsius. Ant the x axis represent time in minutes.

The general term of a sine is the following

y  = A* sin(kx+p)

Where A is the amplitude of the sine, k is the scale of the horizontal axis, and p is the phase.

A = 18 degrees, since it is the maximum temperature.

Now, at the initial time (x = 0), we are told y = 12 degrees

12  = 18* sin(0+p)

p = arcsin(0.666) = 0.7297 rad

And know we find k, (x = 2 minutes)

18 = 18*sin(k*(2)+0.7297)

k*(2)+0.7297 = arcsin(1) = pi/2

k = 0.4205

So the equation is

y  = 18* sin(0.4205*x+0.7297)

We plot it using a graphing calculator

there will be 35 boys in each team. : )

this is a very good question

step-by-step explanation:

i got a hair cut today from my mom not to flex just to flex kim jon un is one rad fellow i'd say you'd need to take the hairline in kinda like a box shape like someone rammed a lego brick into your head. from there you really need to take the top up keeping with that boxy aesthetic, finally coat the whole thing with gel if your country economics are failing or whatever you can just coat it with the starving children's food rations. about 5 orphans per strand is a good ratio. good luck with the fresh cut my dude