A reservoir stores 1100 gallons of liquid, which drains from the bottom of the reservolr ih every 30 minutes. The table below shows the values of the volume V of liquid remaining in the reservoir after time t minutes. Determine the slope of the tangent line at y(20, 111) y(20, 111) and explain what the obtained slope represents. ZZ t (minutes) 10 15 20 30 V (gallons) 694 444 250 111 28 N 5Co N IN N

Q: Use linear approximation to estimate the amount of

A: Given, a coat of paint 0.03 cm thick to a hemispherical dome with a diameter of 55 meters.

Q: A circular plate is measured to have a diameter of 3.5 feet if the measurement could be off by as…

A: Given, The diameter of the circular plate,d=3.5feet The radius of the circular…

Q: 1. Let F = x³i+3+k. Find the general equation of a flow line. Find the flow line through the origin.…

A:

Q: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters, and 60…

A: Given: The dimensions of a closed rectangular box are measured as 90 centimeters, 80 centimeters and…

Q: Calculate the derivative indicated.

A: given,        A=dPdVV=-2     where P=7/V

Q: The radius r and lateral surface area A of a right circular cylinder change at the rates of = 1…

A: drdt=1 cmsec,  dAdt=-2 πcm2sec,   r=2 cm & h=1 cm.

Q: Find the rate of change of the distance D from the origin of a point moving on the graph of f(x) =…

A:

Q: Differentiate the following functions: 6. y = csc-(2sinx)

A:

Q: How is derivatives utilized in solving for the dimensions and total area of a box?

A: Here we to write how is derivatives utilized in solving for the dimensions and total area of a box.

Q: How to solve this equation y'''-4y''+2y'-8y=6e^(x) - x^(2) + 1 using Methods of Undetermined…

A: Given: Given differential equation is y'''-4y''+2y'-8y=6ex-x2+1 We will solve this equation using…

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: Slope & y-int: m = 4 = & y – int: (0,8)

A: It is given that, the slope is  m=14 and y intercept is (0,8)

Q: Find the amount of a 6% acid solution and the amount of a 14% acid solution Pat Mayfield should…

A:

Q: A farmer wants to repaint a thin, cylindrical water tank on their property. He only needs to paint…

A:

Q: At a certain moment, an object in linear motion has velocity 100 m/s. Estimate the distance traveled…

A: Given that: At a certain moment, an object in linear motion has velocity 100 m/s To estimate the…