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This calculus video tutorial explains how to solve the shadow problem in related rates. A 6ft man walks away from a street light that is 21 feet above the ground at a rate of 3ft/s. At what rate is the length of the shadow changing? At what rate is the tip of the shadow moving? You need to understand similar triangles and how to set up proportions in addition to knowing implicit differentiation and derivatives. Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
Views: 13178 AF Math & Engineering
This is a video tutorial about the concept and application of time rates. Created by: Maquilan, Michael Joseph R., Ortiz, Meggy C., Gonzales, Venice Ariele V., & Cando, Philip P. BSCS-CS 2-2 *Enjoy watching!!!
Views: 18322 DIFF CAL BSCS-CS 2-2
Ang differential calculus na lesson na ito ay nagpapakita kung paano sumagot ng mga related rates problem ng sphere, cones, and ladder problem. Sa pag solve ng related rates problems, ginagamitan ito ng implicit differentiation with respect to time: d/dt 00:32 1. A = π r^2 03:02 2. A = 2πrh 08:27 3. Spherical Balloon 13:59 4. Cone-Shaped Paper Cups 21:09 5. Sliding Ladder Problem For more videos, visit: www.numberbender.com
Views: 5455 Numberbender
Views: 19669 Khan Academy
This calculus video tutorial explains how to solve related rate problems with airplanes. The first problem asks you to determine how fast the distance between the airplane and the radar station is changing given the altitude and the horizontal speed of the plane. The situation of the second problem is two planes traveling toward each other intersecting at a common convergence point. This problem asks you to determine the rate at which the distance between the two planes is changing given the speed of each plane and the distance from the convergence point in miles. Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
What's going on everybody, I am back with another practice word problem. This one deals with Distance, Rate, and Time. One key thing to remember with problems dealing with these things it to know the formula D=Rt, where D is the distance traveled, R is the rate or speed, and t is the Time. Remember, you MUST keep the units the same. For example, if Time is in hours, and speed is in Miles per hour, then D has to be in Miles. You may need to convert as well, for example, from minutes to hours and so on. I hope these videos are helpful and valuable to you, if so, click the like button and subscribe. Our Bitcoin tip jar(for donations to help us continue creating): 1PM2kihLgoRxanrMtsoQhxCa2bMSqM26K8
Views: 16151 Jay Lawson
This calculus video tutorial explains how to solve problems on related rates such as the gravel being dumped onto a conical pile or water flowing into a conical tank. You need to know the formula for the volume of a cone and you need to know how to employ implicit differentiation to solve these related rates problems. Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
Views: 384382 Khan Academy
This calculus video tutorial provides a basic introduction into related rates. It explains how to use implicit differentiation to find dy/dt and dx/dt. It contains a few examples and practice problems on derivatives and related rates. Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
This video explains how to determine the rate of change of the distance between two ships moving in different directions. Site: http://mathispower4u.com
Views: 27124 Mathispower4u
Now that we understand differentiation, it's time to learn about all the amazing things we can do with it! First up is related rates. Sometimes the rates at which two parameters change are related to one another by some equation. With our newfound understanding of implicit differentiation, it's not too hard to find this precise relationship so that we can do important scientific calculations. Check it out! Subscribe: http://bit.ly/ProfDaveSubscribe [email protected] http://patreon.com/ProfessorDaveExplains http://professordaveexplains.com http://facebook.com/ProfessorDaveExpl... http://twitter.com/DaveExplains Mathematics Tutorials: http://bit.ly/ProfDaveMaths Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio American History Tutorials: http://bit.ly/ProfDaveAmericanHistory
Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Linear Equation , Word Problem #7 : Work, Rates, Time To Complete a Task. Here we are given that a person can complete a task alone in 32 hours and with another person they can finish the task in 19 hours. We want to know how long it would take the second person working alone.
Views: 25570 patrickJMT
A problem on how to determine the rate of a reaction given a) the balanced chemical equation, b) the change in concentration for ANY reactant or product, and c) the time interval during which the concentration changes.
Views: 68183 Ben's Chem Videos
In this video we solve a related rates problem about a trapezoidal trough - the cross-sections are isosceles trapezoids. This is one of the harder related rates problems but it's not so bad if you cut up the trapezoid a little bit. This is a challenging AP Calculus or Calc 1 problem.
Views: 1937 turksvids
Views: 498446 Khan Academy
This calculus video tutorial explains how to solve the ladder problem in related rates. It explains how to find the rate at which the top of the ladder is sliding down the building and how to find the rate at which the area formed by the ladder is changing. In addition, it explains how to determine the rate at which the angle formed by the ground and the ladder is changing with respect to time using derivatives and implicit differentiation. This video contains one example problem with many parts. Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
Ang calculus lesson na ito ay nagpapakita kung paano magsolve ng related rates problem sa involving area of a circle and volume of a sphere.
Views: 1923 Numberbender
This calculus video tutorial explains how to solve related rate problems dealing with the area of a triangle. The first problem asks you to find the rate at which the area of a right triangle is changing. You need to use the product rule using the rates at which the base and height of the right triangle are changing. The second problem asks you to find the rate at which the area of a triangle is changing using the area formula with sines. You need to familiar with the derivatives of trigonometric functions such as sine and cosine. This video contains plenty of examples and practice problems. Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
Hello everyone, and math students! This is my very first animated math video and I hope it helps out visually. And welcome to my channel. This uniform motion (problem 1) involves traveling in the same direction, solving for "how long" one moving object traveling until it meets up with the second moving object. This problem is also called "distance rate time problem" or "uniform rate problem." [Thank you for watching, and please subscribe, it will mean a great support to me and this channel.] RECAP: This is an algebra problem. It's a "distance" word problem, and solving for "how long." It uses d=rt (distance equals rate times time). The actual problem from the video: "Car 1 starts from point A and heads for point B at 60 mph. Fifteen minutes later, car 2 leaves the same point A and heads for point B at 75 mph. How long before car 2 overtakes car 1?" • Follow me on these social media sites: My Poetry YouTube channel (you get to see me in person) http://www.youtube.com/tozzinpractice LinkedIn http://www.linkedin.com/pub/tozz-inpractice/b2/b21/330/en Instagram http://instagram.com/tozzinpractice/ Twitter http://twitter.com/tozzinpractice Pinterest http://www.pinterest.com/tozzinpractice Flickr https://www.flickr.com/photos/[email protected]/
Views: 135999 tossinthetube
This calculus video tutorial explains how to solve the distance problem within the related rates section of your ap calculus textbook on application of derivatives. This video explains how to find the rate at which the distance between a moving point on a curve and the origin changes with respect to time. The second problem asks you to determine the rate at which the distance of two cars is changing if one car travels east and the other travels north. The third problem asks you to determine how fast the distance between two ships is changing if ship A travels south and if ship B travels north. You need to be familiar with the pythagorean theorem and implicit differentiation. This video on related rates contain many examples and practice problems. Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
The Chain Rule is a powerful tool in solving time rates problems if coupled with a calculator that is capable of differentiation. Related Links: https://www.mathalino.com/node/965 https://youtu.be/mn6Stc7JUcU Background music: Finding Me by Eveningland available as royalty free music in YouTube Audio Library.
Views: 2961 MATHalino
Views: 633143 Khan Academy
This calculus video tutorial on application of derivatives explains how to solve the angle of elevation problem in related rates. It discusses how to determine the rate at which the angle of elevation changes given the altitude of the airplane and the horizontal speed at which it travels in miles per hour. You need to know implicit differentiation, right triangle trigonometry, 30 60 90 reference triangles, derivatives - power rule, and that's about it. Calculus Video Playlist: https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/MathScienceTutoring/
This lesson shows how to use implicit differentiation with respect to time in cones, ladder, sphere, and circle problems. 00:36 1. A = π r^2 02:57 2. A = 2πrh 07:47 3. Spherical Balloon 11:37 4. Cone-Shaped Paper Cups 18:44 5. Sliding Ladder Problem For more videos, visit: www.numberbender.com AP Calculus AB and BC
Views: 785 Numberbender
This video provides a basic example of a related rates problem involving the rate of change of revenue. Site: http://mathispower4u.com
Views: 13429 Mathispower4u
🌎 Brought to you by: https://Biology-Forums.com 🤔 Still stuck in math? Visit https://Biology-Forums.com/index.php?board=33.0 to start asking questions. In related rate problems, there are two quantities changing with time. The rate of change of one of the quantities is given, and the other must be found. A procedure that can be followed is: a. Locate the given rate. Since it is a rate, it can be expressed as a derivative with respect to time. b. Determine the unknown rate. Express it also as a derivative with respect to time. c. Find an equation linking the variable in the given rate with that in the unknown rate. If there are other variables in the equation, they must be eliminated by means of other relationships. d. Take the derivative of the equation with respect to time. e. Substitute the given values and solve for the unknown rate. Source: Technical Mathematics with Calculus, 3e. Calter & Calter. Q. A 20.0-ft. ladder leans against a building. The foot of the ladder is pulled away from the building at a rate of 2.00 〖ft.〗∕〖s.〗 How fast is the top of the ladder falling when its foot is 10.0 ft. from the building?
Views: 18 Study Force
Views: 320475 Khan Academy
Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Buy my book!: '1001 Calculus Problems for Dummies' - you can get it on my website: http://patrickjmt.com/ Related Rates Problem Using Implicit Differentiation - For more free math videos, visit http://PatrickJMT.com Happy studies!
Views: 516103 patrickJMT
Visit http://ilectureonline.com for more math and science lectures! I will calculated the dy/dt=? of aater runner out of a funnel, r=3ft, at the moment of the water level of h=4ft and DV/dt=-0.1ft^3/s. Next video in this series can be seen at: https://youtu.be/9iNjYU0VYQ0
Views: 6022 Michel van Biezen
This video provides an example of how to determine the rate of change of profit with respect to time. Complete Video Library at www.mathispower4u.com
Views: 10503 Mathispower4u
Related Rates - Example - Cylinder
Views: 7984 Houston Math Prep
Views: 479030 Khan Academy
#draw2picturesforrelatedrates related rates: volume of a spherical ballon, rate of change of the radius of a spherical ballon, selected hw solution: http://www.blackpenredpen.com/math/Calculus.html, follow me: https://twitter.com/blackpenredpen, blackpenredpen straightforward math lessons tags: u sub, u substitution examples, integration techniques, what is u sub, how to use u sub, integral calculus, calculus 1 integral problems, calculus 2 integral problems, calculus with blackpenredpen, integration by parts examples, integration with trig sub, integration with partial fractions, hard integral problems, understand integrations, related rates: volume of a spherical ballon
Views: 6618 blackpenredpen
The following video goes through a related rates problem involving water being pumped into a cylinder.
Views: 48153 DrPhilClark
Thanks to all of you who support me on Patreon. You da real mvps! \$1 per month helps!! :) https://www.patreon.com/patrickjmt !! Related Rates # 7 - Ladder Sliding Down Wall, Finding Rate of Change of Area Under Ladder. In this example, a ladder is being pulled away from a wall causing the ladder to slide down the wall. We find the rate of change of the area underneath the ladder.
Views: 171096 patrickJMT
http://www.rootmath.org | Calculus 1 This problem is very similar to filling a pool but with an added consideration. This is a very typical related rates problem for a Calculus 1 class. You may find a problem like this on a test or exam.
Views: 50909 rootmath
🌎 Brought to you by: https://Biology-Forums.com 🤔 Still stuck in math? Visit https://Biology-Forums.com/index.php?board=33.0 to start asking questions. Q. A conical tank with vertex down has a base radius of 3.00 m and a height of 6.00 m. Water flows in at a rate of 2.00 m^3∕h. How fast is the water level rising when the depth y is 3.00 m? A procedure that can be followed is: Step 1: Locate the given rate. Since it is a rate, it can be expressed as a derivative with respect to time. Step 2: Determine the unknown rate. Express it also as a derivative with respect to time. Step 3: Find an equation linking the variable in the given rate with that in the unknown rate. If there are other variables in the equation, they must be eliminated by means of other relationships. Step 4: Take the derivative of the equation with respect to time. Step 5: Substitute the given values and solve for the unknown rate. Source: Technical Mathematics with Calculus, 3e. Calter & Calter.
Views: 21 Study Force
Views: 11957 Krista King
Applications of the chain-rule and implicit differentiation in order to solve calculus related rate problems. Scenario: A ladder is sliding down a wall. Note: An animation is included!
Views: 20690 MyTangentialThoughts
Visit http://ilectureonline.com for more math and science lectures! In this three part Calculus series I will cover how to solve problems with multiple rates of change and each rate of change affects the other. Next video in this series can be seen at: https://youtu.be/73GnajJ9jVM
Views: 6075 Michel van Biezen
Views: 23654 maths gotserved
A classic example of a related rates problem.
Views: 20393 Kris Kissel