Problem 3: Assume that you are aboard a research submarine doing submerged training exercises in the Atlantic Ocean. At time t = 0, you start porpoising (going alternately deeper and shallower). At time t = 4 min you
are at your deepest, y =- 1000 m. At time t = 4 min you next reach your shallowest. y =- 2000 m. Assume
that y varies sinusoidally with time.

A. Sketch the graph of y versus t

B. Write an equation expressing y as a function of t

C. Your submarine can’t communicate with ships on the surface when it’s deeper than -300m. At time t=0, could your submarine communicate with a ship? How did you arrive at your answer?

D. Between what two nonnegative times is your submarine first unable to communicate with a ship?

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.