Math

CalculusQ&A LibraryAir pressure at sea level is 30 inches of mercury. At an altitude of h feet above sea level, theair pressure, P, in inches of mercury, is given byP(h)= 30e(-3.23*10^-5h))(a)Find the local linearization of P(h) near h= 0.(b)A common 'rule of thumb' used by travelers is that air pressure drops about 1 inch for every 1000-foot increase in height above the sea level. Explain why this 'rule of thumb' gives a reasonable method of estimation.(c)Does the local linearization found in part (a) give overestimates or underestimates of the exact air pressure? Explain why.(d)Does the 'rule of thumb' from part (b) give overestimates or underestimates of the exact air pressure? Explain whyQuestion

Asked Sep 29, 2019

550 views

Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above sea level, the

air pressure, P, in inches of mercury, is given by

P(h)= 30e^{(-3.23*10}^{^-5h)})

Find the local linearization of P(h) near h= 0.

A common 'rule of thumb' used by travelers is that air pressure drops about 1 inch for every 1000-foot increase in height above the sea level. Explain why this 'rule of thumb' gives a reasonable method of estimation.

Does the local linearization found in part (a) give overestimates or underestimates of the exact air pressure? Explain why.

Does the 'rule of thumb' from part (b) give overestimates or underestimates of the exact air pressure? Explain why

1 Rating

Step 1

Given function,

Step 2

By the definition of a tangent line is defined as a line passing through a given point of a function whose slope is equal to the derivative of the function at that point

Step 3

we need to find b, the y intercept, to completely solve for the tangent ...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: If distance in feet of a ball above ground is given by D=224+80t-16t^2 (t measured in seconds), when...

A: Click to see the answer

Q: Evaluate the piecewise defined function at the indicated values.

A: Click to see the answer

Q: Please see the attached problem. Thanks!

A: Side of the cube = a = 11 inchesVolume of the cube = V = a3

Q: See attachment

A: Given,

Q: The graphs of the function f (given in blue) and g(given in red) are plotted above. Suppose that u(x...

A: From the given graph it can clearly observed that f (1) = 1 and g (1) = 3.Given that u (x) = f (x) g...

Q: See attachment

A: Observe the first graph.

Q: See attachment

A: GIven,

Q: See attachment

A: Given, Amplitude = 12 in. Period = 1 seconds. Since, d at t = 0 is 0 i...

Q: see attachment

A: To sketch the graph of the function and determine its range and domain.