The rate at which blood pressure decreases in the aorta of a normal adult after a heartbeat is dp = -46.645e' dt -0.491t where t is the time in seconds. (a) What function describes the blood pressure in the aorta if p = 105 whent = 0? p(t) = (b) What is the blood pressure 0.1 second after a heartbeat? (Round your answer to two decimal places.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
icon
Related questions
Question

The rate at which blood pressure decreases in the aorta of a normal adult after a heartbeat is

 
dp
dt
 = −46.645e−0.491t
The rate at which blood pressure decreases in the aorta of a normal adult after a heartbeat is
dp
= -46.645e'
dt
-0.491t
where t is the time in seconds.
(a) What function describes the blood pressure in the aorta if p = 105 whent = 0?
p(t) =
(b) What is the blood pressure 0.1 second after a heartbeat? (Round your answer to two decimal places.)
Transcribed Image Text:The rate at which blood pressure decreases in the aorta of a normal adult after a heartbeat is dp = -46.645e' dt -0.491t where t is the time in seconds. (a) What function describes the blood pressure in the aorta if p = 105 whent = 0? p(t) = (b) What is the blood pressure 0.1 second after a heartbeat? (Round your answer to two decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning