chain rule

Q: A frog is at the bottom of a 21-foot well. Each time the frog leaps, it moves up 3 feet. If the frog…

A: Consider the upward direction as positive and the downward direction as negative. Thus, any distance…

Q: Lay your dominant arm palm up on a table with the sock ball in your hand. Time how long it takes you…

A: According to the provided data, a ball is squeezed for 50 times in a single set as fast as possible…

Q: A professor gives his students 4 essay questions to prepare for an exam. Only 2 of the questions…

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Q: In asynchronous transfer mode (ATM) (a communications protocol used on backbone networks), data are…

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Q: An apple farm yields an average of 39 bushels of apples per tree when 21 trees are planted on an…

A: (1)  Given that, an apple farm yields an average of 39 bushels of apples per tree when 21 trees are…

Q: b) A father and a son working together can do a piece of job in 5 days. If the father alone can do…

A: We have to find how long will it take to son to do the job.

Q: A researcher makes observations of certain bacteria. Every 1/2 day the bacteria divide into 2. At…

A: The question is related to exponential growth. Every 1/2 day the bacteria divide into 2 ⇒ bacteria…

Q: 6. On 27 June 2018,Arianna deposited 3,000 in a savings account that offered a simple intrest rate…

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Q: Find all solution largest x, then

A: Given equations are: x2 + y2 = 78 ........................... (1) x2 - y2 = 6…

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

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Q: An apple farm yields an average of 42 bushels of apples per tree when 20 trees are planted on an…

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Q: A certain tennis player makes a successful first serve 75% of the time. Assume that each serve is…

A: 1] Probability of success on a single trial=0.75 2] Numer of trials=92

Q: library has an average of 510 visitors on Sunday and 240 on other days. The average number of…

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Q: Female mosquitoes (Culex pipiens) feed on blood (only the females drink blood) and then lay several…

A: As per the guidelines I have to do only one question so I request you to submit the remaining as…

Q: My uncle comes to visit me every 9 days.  My aunt comes to visit every 15 days.  They were both here…

A: We have to find the days from now they will be together again.

Q: Find four consecutive odd internet’s such that four times the sun of the first and third is four…

A: To find four consecutive odd integers such that four times the sum of the first and third is four…

Q: A train leaves a station traveling north at the rate of 60 mph. One hour later, a second train…

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Q: The number of insects in a colony doubles every 6 months. There are currently about 250 insects in…

A: For the solution of the problem follow the next step.

Q: Solve for all of the parts that are mentioned.

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Q: 1 у 3 2 y (х + 2)

A: y = (x+2)-1/2 dy/dx = (-1/2)(x+2)(-1/2 - 1) dy/dx = (-1/2)(x+2)(-3/2) dy/dx = -1/2(x+2)3/2

Q: Certain Bacteria cells are being observed in an experiment. The Population triples in 1 hour. If at…

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Q: Solve d,e,f. Show all work

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Q: If a pathogen spreads at .01 per day in a population if unchecked. In how many days will the number…

A: Consider the provided question, Given, World population P0 = 6 billion Birth rate - death rate =…

Q: Need AS

A: Given that: y≥3(0.8)x               ..............(1)y≥x2-5                ...............(2)

Q: Help! One account doubles every 2 years. A second account triples every 3 years. Assuming the…

A: Assume In first and second account we have initial deposit X Since first account doubles money in 2…

Q: 3. y = esin 3x

A: The chain rule of differentiation states that dydx=dydu×dudx

Q: A total of $11,000 is invested in two different accounts. The first account at 6.5% simple interest…

A: Given problem:- A total of $11,000 is invested in two different accounts. The first account at 6.5%…

Q: A new surgery is successful 75% of the time. If the

A: This is a case of binomial distribution. n = 8 p = .75 X denotes no. of successful Surgery X~…

Q: In this particular problem, where is the u and du? Why does it suddenly not present in the solution?…

A: the given integral is: ∫esec(x)sin(x)cos2(x)dx let the given integral be I.…

Q: The number of bacteria doubles every 36 hours. There are currently about 50 bacteria. How many…

A: No of bacteria at t=0 is 50.

Q: solve the Follo wing 2 +2 log,3 2-) logo1+ 2 log3 5 3) log,el - 2 logs 3

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: please send handwritten solution for part a

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Q: Today, Stephen is three times as old as Gautham. Ten years ago Stephen turned 2. How old will…

A: Given : Today, Stephen is three times as old as Gautham. Ten years ago Stephen turned 2

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

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Q: A town has a population of 11000 and grows at 4% every year. What will be the population after 15…

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Q: 9. One pump can fill a pool in 11 hours and a second pump can empty the same pool in 4 hours. While…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 5) Pipe 1 alone fills a tank in 30 minutes. Pipe 2 alone empties the tank in 45 minutes. How long…

A: Given that pipe 1 takes 30 minutes to fill a tank. So in 1 minute, it fills 130 part of the tank.…

Q: flies

A: Please refer to the image below

Q: A bacteria doubles every 12 minutes.  If we started with 10 bacteria how many will we have after 30…

A: A bacteria doubles every 12 minutes and we started with 10 bacteria.We have to find how many…

Q: An apple farm yields an average of 38 bushels of apples per tree when 24 trees are planted on an…

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Q: Juan Tamad is training for a triathlon in Mactan. Over a 30 day period, he pledges to train at least…

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Q: Three inlet pipes, A, B, and C, can be used to fill a 1000- water storage tank. When all three pipes…

A: Let the time taken to fill the tank individually  by  A pipe be a B pipe be b C pipe be c

Q: At a dairy plant, a milk tank can be filled in 6 hours (using theinletvalve). Using theoutletvalve,…

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Q: 8. One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.…

A: We have to solve, how long would it take to fill the pool if both pipes were accidentally left open.…

Q: Evalute

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Q: A and B can do a piece of work in 12 days; B and C can do it in 15 days while C and A can finish it…

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Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A: Let s be the speed of plane in still air and w be the speed of wind Effective speed of plane against…

Q: Get a particular solution

A: Explanation and Solution is given below....

Q: Certain bacteria cells are being observed in an experiment. The population triples in 1 hour. If at…

A: Given,  After one hour the population triples. After three hours the population is 27000. let x be…

Q: AJ’s sleep pattern had been fluctuating due to stress and diet, so he started to keep a diary of how…

A: yes

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.