If we model the Earth's atmospheric pressure as a function of the height above sea level using p(z) = 1000e/10, where z represents the height above sea level in Km, what do the following expressions represent? One does not have a match. а. р'(20) the atmospheric pressure at an elevation of 20 km. 1 -20 b. " 20 o P(z)dz the average change in pressure in the first 20 km p(20)-p(0) C. the rate of change of pressure at an elevation of 20 km 20 pr(20)-pr(0) d. the average pressure at all elevations between 0 and 20 km 20 е. p(20) Use the following table to find f(9(x))· g(x) for x = 1. Hint: start by writing out the product rule for derivatives, and read the values that you need from the table. 1 2 3 4 f(x) 5 4 3 2 f'(x) 3 5 2 1 g(x) 4 2 5 3 g'(x) 2 4 3

Q: Using implicit differentiation, solve for the following. 1. 2х-у--3 a. dyldx= 2. y²+x²=9 a. dyldx=…

A: When functions are not defined explicitly in terms of the variable that we want to differentiate…

Q: If a ball is thrown in the air with a velocity 48 ft/s, its height in feet t seconds later is given…

A:

Q: 2r 32. у t + e3t

A: topic-derivative

Q: y = kx xe

A: y=xe-kxTo solve the derivative

Q: 57. y = x4 – 8x² + 2 58. y = x³ + x 59. у 3 .2

A:

Q: 8 feet 9. As shown in the figure to the right, water is draining from the conical tank with height…

A: Given information: The height of the conical tank is 12 feet and the diameter is 8 feet. (a) To…

Q: ¹) If a rock is thrown upward on the planet Mars with a velocity of 10m/s, its height in meters…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: The average forward speed for neotropical butterflies can be modeled by the function, V(m)= 4.2 √m…

A: We have to find average forward speed of a butterfly with a body mass of 0.4gram

Q: Use differentials to estimate the following. Give all answers correct to at least 3 decimal places.…

A: We have to find asked area.

Q: Calculate y dx (25th derivative) of y = sin.x. It may help to first determine a pattern. Paragraph V…

A: The objective of this question is to find the 25th derivative of the function y = sin(x). To do…

Q: Currently, the best estimate for the age of the universe is 12.72 giga-years. How did you do?

A: According to Hubble's law formula: v=Hd where v=velocity of galaxy, d=distance of galaxy, H=Hubble's…

Q: options

A: Please refer to the image below

Q: 2. A cup of coffee is poured from a pot that maintains a constant temperature. The fresh coffee is…

A:

Exponential Growth Model

The relation that represents an exponential function is: