A leak in a storage tank caused 600  gallons of water to drain out in 70  minutes. What is the average rate of change in the tank water level? (Round to the nearest hundredth - two decimal places)

Q: Estimate cot−1(2) to three decimal places by calculator.

A:

Q: What is the difference between the average rate of change and instantaneous rate of change?

A: The difference between the average rate of change and instantaneous rate of change

Q: A vehicle purchased for $22400 depreciates at a constant rate of 5 % . Determine the approximate…

A:

Q: What is the relationship between the angle of refraction and the index of refraction? Is it linear…

A:

Q: A sloth is 7 feet east of a fire hydrant and begins to walk south at a rate of 1.7 feet per hour.…

A:

Q: The rate of change of the area enclosed between the circle and the square is squa meters per hour.

A: First find difference in area between square and circle then differentiate wrt t

Q: Find the rate of change of the circumference of a circle with respect to the area when the area is…

A:

Q: An original count of a deer population in an Alberta forest determined that 238 deer were present.…

A: Given: Past population = 238 Current population = 431 Formula Used:

Q: Show that at some instant during a 2-hour automobile trip the car’s speedometer reading will equal…

A: Consider the formula for the average speed.Average speed is overall distance covered over the period…

Q: The number of crimes that occurred in a certain city per 1000 people had decreased from 45.9 in 1920…

A: To determine the average rate of change in the number of crimes per 1000 people.

Q: Approximate to 3 decimal place accuracy

A: Maclaurin series can be given as below : take

Q: A car is purchased at $36,000 and its value depreciates at a constant rate of 15.5 % each year. Find…

A:

Q: A vehicle purchased for $22400 depreciates at a constant rate of 7%. Determine the approximate value…

A: Given that the vehicle purchased P = $ 22400   Depreciates rate (r) = 7 %   Time (t) = 15 years

Q: A mountain in Jefferson County is eroding and losing elevation at a rate of 5% every millennium. If…

A: The given question can be solved as shown in step2.

Q: A ball is being launched into the air. 21 feet away from the launch site is a camera. If the ball is…

A: Suppose y represents the height of the ball and θ be the angle of elevation.As the ball is…

Q: A car purched for 12500 in 1995 was sold for 4900 in 2001. Find the average rate of change in value…

A: To determine the average rate of change.

Q: If a new Mustang is valued at $20,000 and five years later it is valued at $8000 then what is the…

A: A new Mustang is valued at $20,000 and five years later it is valued at $8000. Let x be the year and…

Q: Determine the rate

A: a.)Let the radius of the balloon = rRate at which the radius of the balloon is decreasing = drdt =…

Q: What is the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps…

A: We have given that,  The regression equation is,  Y = 38.58 + 0.0448*X Then,  We will find the best…

Q: Explain : What is the average rate of change of a function?

A: Average rate of change: The average rate of change of a function is defined as the average rate at…

Q: Find the rate of change of the circumference of a circle with respect to the area when the area is…

A: Given :  the  area  of the  circle is 4π square feet. To  find : the rate  of change of…

Q: Find the rate at which the square root of a number increases as the number increases.

A:

Q: Complete the following table for an exponentially growing human population. Round to the nearest…

A: The exponential growth can be modelled using the following differential equation:…

Q: Estimate the average rate of change from x = 4 to x = 7.

A: The average rate of change from one point to another point from a graph obtains from the ratio of…

Q: What is the average rate of change of the height of the plant between Week 4 and Week 12, in inches…

A: Given:  Week Height (in inches) 4 24 6 27 8 30 12 48

Q: (previous question continued...) If a cricket is observed chirping at a rate of 1010 per minute,…

A: The regression analysis is conducted here by using EXCEL. The software procedure is given below:…

Q: The humidity is currently 55% and falling at a rate of 4 percentage points per hour. (a) Estimate…

A:

Q: Between 2011 and 2016, the population of the city of Edmonton increased from 812 201 to 932 546. a)…

A: Given: Population of the city increased from 812,201 to 932,546 between 2011 to 2016.

Q: A car was valued at $32,000 in the year 1991. The value depreciated to $14,000 by the year 2005. A)…

A: The value of car is 32,000 in the year 1991 In 2005 the value of car is depreciated to 14000 Use the…

Q: A rumor is spreading through town at a rate of ť + 10t new people/day. Approximately how many people…

A: Given rate t2+10t new people/day

Q: A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon’s rate of…

A: Solution:

Q: The population in the Philippines doubles in the last 30 years from 1956 to 1986. Assuming that the…

A: It can be solved using the given formula.

Q: Three thousand dollars is deposited in the bank at 4% interest compounded continuously. What will be…

A: It is given that Money in the account $3000 Interest rate   We have to find the average value of…

Q: Find the hourly wage for a person with an income of 71190 who works 78 hours a week for 49 weeks…

A: We have to find hourly wage

Q: What is the instantaneous rate of change?

A: Solution;-  Definition of Instantaneous rate of change:-

Q: a) Determine the average rate of change in the size of the crowd for each half hour of the rally. b)…

A: Solution:

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

A:

Q: Define the term instantaneous rates of change?

A: Given: Define the term instantaneous rates of change?

Q: Use the model to predict the percentage of female high school graduates in 2029. Round to the…

A: When we want to estimate an impact of many variables on the one variable at that time we…

Q: Describe the Related Rates Equations?

A: Related rates problems involve two (or more) variables that change at the same time, possibly at…

Q: Predict the U.S. emissions for a year when the non-U.S. emissions level is 3.4 Round the answer to…

A: ( c ) The U.S emissions are predicted to be --------- metric tons.

Q: What is the rate of the current in miles per hour?

A:

Q: Plot the dosage function for the first 80 seconds.

A: Use a graphing utility to plot the dosage function.

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 5% of the drug…

A:

Q: A tire in Steve's car has just sprung a leak and is losing pressure at a rate of 5% every hour. If…

A:

Q: A square has a side length that is decreasing at a rate of 14 feet per minute. What is the rate of…

A: Rate of decreasing of side of square is 14 feet per minute. To find rate of change of area of the…

Q: If the temperature on the third day of the month is 50 degrees Fahrenheit and 82 degrees by the 11th…

A: Given: The temperature on the third day of the month is 50 degrees Fahrenheit and 82 degrees by the…

Q: find instantaneous rate of change at 75 seconds

A:

Q: A particular drug is eliminated from the blood with a half-life of 12 hours. If a person has 100 mg…

A: Given that: Initial amount= P0 = 100 mg Half time= H= 12 hours Time=t =6 hours Final amount=P…

Exponential Growth Model

The relation that represents an exponential function is: