Plot the following polar functions. a. r = 1 + cos(). b. r = 1 + cos(4).

Plot the following polar functions.

a. r = 1 + cos(θ).

b. r = 1 + cos(4θ).

c. r = 1 + cos(6.4θ).

d. r =

sin(θ)

√

| cos(θ) |

sin(θ)+

7 5

− 2 sin(θ) + 2.5.11 The blood pressure P(t) (measured in mmHg) of a typical person is sketched as a function of time in Fig. 5.18.

a. Estimate the maximum and minimum points of the curve, and thus calculate the amplitude of the pressure fluctuations.

b. Estimate the midline and the period.

c. Assuming that P(0) = 100 mmHg write an approximate Make sure you write A, f , t0 and P0 description of the pressure fluctuations in the form in the correct units.
This sine function is going to be a poor approximation of a real blood pressure curve, of course, as the real curve is much more complex, but it’s still useful for determining properties of the curve such as the period and amplitude.
P(t) = Asin(2π f (t − t0)) + P0.

d. At what time does the person’s blood pressure first reach 110 mmHg?