80 Answered Questions for the topic rate of change

Rate Of Change Calculus Volume

11/11/21

Cylinder Rate of Change Problem
A cylindrical water tank has a height of 20ft and a radius of 6ft. The tank is leaking water at the rate of 3 cubic feet per hour. Find the rate of change in the height of the water when it is 15ft... more
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Rate Of Change Calculus Derivative

10/18/21

Find the rate of change of the angle of elevation dθdx when x=272 feet
A building that is 225 feet tall casts a shadow of various lengths  as the day goes by. An angle of elevation (Theta) is formed by lines from the top and bottom of the building to the tip of the... more
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Rate Of Change Math Calculus

10/14/21

Find the rate of change of the angle of elevation dθ/dxx when x = 275.
A building that is 225 feet tall casts a shadow of various lengths as the day goes by. An angle of elevation θ is formed by lines from the top and bottom of the building to the tip of the shadow,... more
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07/28/21

How would one determine the average rate of change of f(x)=3(2)^2x on the interval 0<x<2
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Rate Of Change Precalculus Functions

07/27/21

Without graphing, determine the average rate of change for the function f(x)=x^4 on the intervals below:
-1 ≤ x ≤ 1 -2 ≤ x ≤ 2 -10 ≤ x ≤ 10 What can you notice about the answers found for the intervals above? Why did that happen? If possible, graph the function and suggest why this behaviour occurs.
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Rate Of Change Math

06/10/21

Rate of change for this equation: y=4/3x+2
This a question for my practice study guide. I need to find the rate of change for this equation.
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Rate Of Change Math Proportions

06/03/20

what is the rate of change
the temperature of the water is being heated is 20°c after 5 minutes the temperature is 45°c. what is the rate of change of the temperature of the water?
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Rate Of Change Calculus Limits Derivation

05/18/20

Find the rate of change
given p(t) = 48/(2+10e^-t) Find the rate of change at time t evaluate lim t->infinity p'(t)
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Rate Of Change Calculus Rate Change

05/18/20

Find the rate of change
given c(t) = e^(-0.06t)-e^(-0.44t), find the rate of change after 2h.At what time does the rate begin to decrease?
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Rate Of Change Math Algebra 1 Algebra 2

02/07/20

How do I find rate of change of the following(k)? and is this how you find y-intercept of exponential functions??
f(x)=7^x and is the y-intercept 1 since x=0... 7^0=1, but how do you find the value of k? I know there is not k, which some are ya are confused in but k is not a variable, its something you have... more
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Rate Of Change Algebra 1

12/08/19

(too long for title box)
Kayla consumed 1800 calories on Monday. She consumed 500 more calories on Tuesday than she did on Monday. On Wednesday, she consumed 100 calories less than she had on Tuesday. Find the rate of... more
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10/06/19

After 1 hour, a vehicle traveled 44 miles, after 4 hours, it traveled 152 miles.
If they maintain the same average rate of change, which is 36 miles an hour, how many hours will it take to go 487 miles? How would I find this?
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Rate Of Change Algebra 2

04/08/19

How can I find the average rate of change from 2 to 8

X= 2 4 6 8 10 12 14Y= 3 8 13 18 23 28 33
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Rate Of Change Algebra 2

04/04/19

what is the volume of an ice cube with an initial length of 5cm after 4 minutes when the ice cube is melting at a rate of 0.6x^2cm^3 per minute?
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Rate Of Change Calculus

04/02/19

Multiple Choice Rate of Change Question
A chemist is experimenting with the properties of a chemical compound. He conducts an experiment in which he drops a sample of the chemical compound into a beaker and then applies even heat to the... more
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Rate Of Change Calculus

04/02/19

Rate of Change Question
Examine the following graph, which includes function f(x), as well as a line that passes through (0,0) and is tangent to f(x) at (0.5, 0.65). Then, answer the question.What is the instantaneous... more
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Rate Of Change Math Algebra 2 Intervals

11/28/18

h(x)=-2x^3 on [x, x+h]
Find the rate of change for the expression:h(x)=-2x^3 with the interval [x, x+h]
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Rate Of Change Slope Derivative Rate

10/28/18

Rate of Change for the value of y
If y'(8)=1/12, how much would you think y would change between x=8 and x=8.12? (Hint: y' measures the rate of change of y per unit of change of x)I tried to use y2-y1/x2-x1 and set it equal to 1/12... more
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09/27/18

A large clock has an hour hand which is 1 meter long, and a second hand which is 2 meters long.
a. What is the rate of change in the distance between the ends of the two hands, with respect to time, at 2:00 PM?      Hint: the distance between points (x1, y1) and (x2, y2) in the plane is... more
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Rate Of Change

09/18/18

to water a lawn adequately , it takes 699 gal of water for every 1000 sq ft . what is the rate in gallons per square foot
Don’t understand the rate
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Rate Of Change

09/15/18

at what time will the container be completely empty?
water ia leaking out of a container. at 2pm the container contains 3.2L of water. by 4:30pm the container only holds 2.3L of water.
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Rate Of Change

09/05/18

A hot air balloon went from an elevation of 5,151 feet to an elevation of 3,317 feet in 28 minutes. What was its rate of descent?
5151 to 3317 in 28 minutes what is the rate of change
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Rate Of Change

08/05/18

Flying against the wind, a jet travels 5180 mi in 7 hours. Flying with the wind, the same jet travels 6200 mi in 5 hours.
What is the rate of the jet in still air and what is the rate of the wind?
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Rate Of Change

07/19/18

. How long does it take for the population to double?
A colony of bacteria with an initial population of 5000 grows over time t(in hours) at a rate of 16% per hour.How long does it take for the population to double?
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Rate Of Change

05/13/18

a function of units produced x is C(x)=235+29x−0.05x^2. What is the cost to produce unit 16?What is the marginal cost at x=15?
I am struggling to figure out how to answer this question, I know that I need to find the marginal cost but do not know how to derive that from the total cost function
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