Marissa is watching a honeybee return from her flower garden to a beehive of a branch nearby tree. She notices that the bee's path resembles part of a trigonometric function (see below). Suppose that the flower is 2 ft above the ground, the beehive is 8 ft above the ground, and the horizontal distance from the flower to the beehive is 20 ft. Model this path with a sine or cosine function. Clearly indicate the following: a. the maximum and minimum
b. the midline
c. the period and rate constant
d. Write formula for the function
e. Clearly label all parts
f. Sketch the graph

May check your work by graphing your function on a graphing calculator etc.

Step-by-step explanation:

Use the formula y = A cos (Bx - C) + D    where

Given: Max = 8, Min = 2, (1/2)Period = 20 → Period = 40

Amplitude (A) = (Max - Min)/2

                      = (8 - 2)/2

                      = 6/2

                      = 3

Midline (D) = (Max + Min)/2  

                  = (8 + 2)/2

                  = 10/2

                  = 5

Period = 2π/B    

→ B = 2π/Period

      = 2π/40

      = π/20

Notice that the Minimum touches the y-axis (not the Max) so there is no phase shift but there is a reflection → C-value = 0 & A-value is negative

Now, let's put it all together:

A = -3, B = π/20, C = 0, D = 5

paula, cory, and krista

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

u also answered this so i think u would know but i am here to

put in or use mine