With each heartbeat, blood pressure increases as the heart contracts, then decreases as the heart rests between beats. The maximum blood pressure is called the systolic pressure and the minimum blood pressure is called the diastolic pressure. When a doctor records an individual’s blood pressure such as "120 over 80,â€� it is understood as "systolic over diastolic." Suppose that the blood pressure for a certain individual is approximated by p t = 90 + 20 sin 140 π t where p is the blood pressure in mmHg (millimeters of mercury) and t is the time in minutes after recording begins. a. Find the period of the function and interpret the results. b. Find the maximum and minimum values and interpret this as a blood pressure reading, c Find the times at which the blood pressure is at its maximum.
With each heartbeat, blood pressure increases as the heart contracts, then decreases as the heart rests between beats. The maximum blood pressure is called the systolic pressure and the minimum blood pressure is called the diastolic pressure. When a doctor records an individual’s blood pressure such as "120 over 80,â€� it is understood as "systolic over diastolic." Suppose that the blood pressure for a certain individual is approximated by p t = 90 + 20 sin 140 π t where p is the blood pressure in mmHg (millimeters of mercury) and t is the time in minutes after recording begins. a. Find the period of the function and interpret the results. b. Find the maximum and minimum values and interpret this as a blood pressure reading, c Find the times at which the blood pressure is at its maximum.
With each heartbeat, blood pressure increases as the heart contracts, then decreases as the heart rests between beats. The maximum blood pressure is called the systolic pressure and the minimum blood pressure is called the diastolic pressure. When a doctor records an individual’s blood pressure such as "120 over 80,� it is understood as "systolic over diastolic." Suppose that the blood pressure for a certain individual is approximated by
p
t
=
90
+
20
sin
140
π
t
where
p
is the blood pressure in mmHg (millimeters of mercury) and
t
is the time in minutes after recording begins.
a. Find the period of the function and interpret the results.
b. Find the maximum and minimum values and interpret this as a blood pressure reading,
c Find the times at which the blood pressure is at its maximum.
Points z1 and z2 are shown on the graph.z1 is at (4 real,6 imaginary), z2 is at (-5 real, 2 imaginary)Part A: Identify the points in standard form and find the distance between them.Part B: Give the complex conjugate of z2 and explain how to find it geometrically.Part C: Find z2 − z1 geometrically and explain your steps.
A polar curve is represented by the equation r1 = 7 + 4cos θ.Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.Part B: Is the curve symmetrical to the polar axis or the line θ = pi/2 Justify your answer algebraically.Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?
A curve, described by x2 + y2 + 8x = 0, has a point A at (−4, 4) on the curve.Part A: What are the polar coordinates of A? Give an exact answer.Part B: What is the polar form of the equation? What type of polar curve is this?Part C: What is the directed distance when Ø = 5pi/6 Give an exact answer.
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