Math

CalculusQ&A LibraryThe rate at which blood pressure decreases in the aorta of a normal adult after a hearbeat is dp/dt= -46.645e^-0.491t where t is the time in seconds. (a) What function describes the blood pressure in the aorta if p=95 when t= 0? (b) What is the blood pressure 0.5 second after a heartbeat?Question

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

dp/dt= -46.645e^-0.491t

where t is the time in seconds.

(a) What function describes the blood pressure in the aorta if p=95 when t= 0?

(b) What is the blood pressure 0.5 second after a heartbeat?

Find answers to questions asked by student like you

Q: 2. (4.6) penicillin is sold at a price of $200 per unit. The production cost (in dollars) for x unit...

A: C(x) and P(x) shows the total production cost function and the profit function of penicillin.

Q: Find the derivative of y with respect to x.

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

Q: Determine the area, in square units, of the region bounded by g(x)=6x+12 and f(x)=x2 +7x−8 over the ...

A: We have to find the area under the curve of g(x), then substract the area under the curve of f(x). T...

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: Let H(x)=4f(x) + 5g(x), where the graphs of f and g are shown in the figure. Find H`(1).

A: Firstly, we find the function y=f(x) , which is linear function , as it is a equation of straight ...

Q: Find the area, in square units, bounded above by f(x)=6x2 −2x−19 and below by g(x)=7x2 +12x+21.

A: f(x)=6x2 −2x−19 and g(x) = 7x2 +12x+21.As a first step, we need to find the point of intersection of...

Q: Please help me on how to perform a test to determine if the equation converges.

A: The integral is given as

Q: Use Green's Theorem to evaluate the line integral. Assume curve is oriented counterclockwise. C is t...

A: Let's compare the given integrand with the standard form.(2x + ln 2)dy - (8y2 + sinhx)dx =Q.dy + P.d...

Q: (2x-3)4 dx 10

A: Given:The integral is