How many arbitrary constant in a particular solution of degree 4 and order 3 ? 3

Q: 9) Suppose a culture of bacteria starts with 60 bacteria and grows to 500 bacteria in 6 hours. Find…

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Q: Find the smallest value of the positive constant m that will make mx - 1 + (1/x) greater than or…

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Q: 4) Solve for x. x = 256 a) x = +128 b) x = +18 c) x = +16 d) x = +64 5) This sugar cube box is a…

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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: A tank is filled with 400 gallons of brine with 25 % dissolved salt. 5 gallons of 20% salt solution…

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Q: A tank is filled with 300 gallons of brine with 10 % dissolved salt. 5 gallons of 20% salt solution…

A: Let the density of the salt be ρ lb./gallon and the mass of salt be Q(t) in the tank after t…

Q: The number of bacteria in a bowl increases at a rate of 20.8% per hour. There are currently 12…

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Q: A culture of bacteria has an initial population of 790 bacteria and doubles every 4 hours. Using the…

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Q: Find a positive number such that the sum of the number and its reciprocal is as small as possible.

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Q: The sum of the first n odd numbers is n°; that is, Ź(2x – 1) = n². X=1 Verify this formula for n =…

A: The sum of the first n odd numbers is n2. Then we get, ∑x=1n2x-1=n2 We have to verify the results…

Q: A digital system has been developed to measure temperatures in the range -10˚C to 115˚C. If the…

A: Since digital system can measure temperatures in the range -10˚C to 115˚C. the accuracy of the…

Q: A culture of bacteria has an initial population of 3300o bacteria and doubles every 10 hours. Using…

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Q: A garden watering bucket has 3000 milliliters of water in it, but there is a hole that is leaking 18…

A: Given  bucket has water = 3000 ml every minute leaking water = 18 ml

Q: The population of a bacteria colony triples every hour. If the initial population is 100 what is…

A: Given  initial population of bacteria = 100 Population of a bacteria colony increases triples every…

Q: • A body having a temperature of 100°C was placed in a room where the temperature is 5°C. At the end…

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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: A culture of bacteria has an initial population of 8600 bacteria and doubles every 5 hours. Using…

A: P(t)=P0(2)t/d

Q: Ten strands of healthy bacteria are placed on a petri dish and are allowed to freely multiply.…

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Q: Determine one real root of 2xcos2x - (x - 2)² = 0 on the interval (2, 3). How many number of…

A: Given that 2xcos2x-(x-2)2=0. The objective is to determine one real root of the equation on the…

Q: How many positive integer solutions are there of the equation x+y+z=5?

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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: SIUW IntrO/Inst Find an equation with a solution of x = 6 of multiplicity 1, and a solution of x = -…

A: Given : Solution of x = -6 of multiplicity of 1 and  Solution of x = -4 of multiplicity of 2. Hence…

Q: A culture of bacteria has an initial population of 92000 bacteria and doubles every 7 hours. Using…

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Q: Show that the sum of a positive number and its reciprocal is at least 2.

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Q: A is thrice as good a workman as B and threfore is able to finish a job in 60 days less than B.…

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Q: How many equations would you need to compute a series of cubic splines of the form ax^3+bx^2+cx+d to…

A: The picture in the next step contains the solution of the problem. The number of equation required…

Q: The population of one state increases at a rate numerically equal to the cube root of the…

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Q: A manufacturer of an anti-inflammatory drug claims that the drug will be effective for 8 hours. An…

A: A manufacturer of an anti-inflammatory drug claims that the drug will be effective for 8 hours. An…

Q: A culture of bacteria has an initial population of 220 bacteria and doubles every 8. hours. Using…

A: Formula: Pt=P0 2td P0 initial population d is doubling time Given: Doubling time =8hours initial…

Q: 11. Solve for x S-2(x+1) 10.

A: Given: ----------------------------------------------------------------------   To find: value of…

Q: 25 Solve for x ax+by=c

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Q: A culture of bacteria has an initial population of 860 bacteria and doubles every 9 hours. Using the…

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Q: Find a particular solution correctly to

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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: Find the number between 1/2 and 3/2 such that the sum of this number and its reciprocal is as big as…

A: The numbers between 12 and 32 or 0.5 and 1.5 are as follows: 0.6, 0.7, 0.8, 0.9, 1, 1.2, 1.3, 1.4…

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: Solve for x. In (x-5) + In5= Inx No solution

A: ln(ab)=lna+lnb

Q: A 6-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze.…

A: Given that      A 6-quart cooling system is checked and found to be filled with a solution that is…

Q: A 21-quart cooling system is checked and found to be filled with a solution that is 40% antifreeze.…

A: Given: A 21-quart cooling system is checked and found to be filled with a solution that is 40%…

Q: 1. Suppose a culture of 300 bacteria at BIO Farm is put into Petri dish and the culture doubles…

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Q: A dead fish was found inside a compartment that is able to maintain a constant temperature of 373…

A: let D be the body temperature at t seconds according to question, initially , at time t=0D=900…

Q: A Bacteria grows at a rate of 25% each day. If there are 500 bacteria today , how many will there be…

A: Given,          A Bacteria grows at a rate of 25% each day. If there are 500 bacteria today.…

Q: if kim can do a certain job in 5 hours, then at the end of  h hours she will have completed 5/h of…

A: Consider that the Kim can do a work in 5 hours. Then, the rate of doing job is 15 of the job. Thus,…

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

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Q: An apple farm yields an average of 41 bushels of apples per tree when 21 trees are planted on an…

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Q: Solve Bernoulli’s equation when n = 0; when n = 1.

A: To Solve: Bernoulli's equation when n=0when n=1. Concept: Bernoulli's equation has the…

Q: Find a positive number such that the sum of the number and its reciprocal is as small as possible

A: Second Derivative Test :   Firstly find critical point of f(x).i.e, f'(x)=0 and find the value of…

Q: A culture of bacteria has an initial population of 37000 bacteria and doubles every 2 hours. Using…

A: Given,P0 = Initial population = 37000 bacteriad= doubling time = 2 hourst = time in hours = 7…

Q: A and B can do a piece of work in 18 days ; B and C can do it in 24 days ;  A and C can do it in 36…

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