Problem 1. An egg was put in a pot filled with hot water, in order to warm it. Suppose that at the initial moment the egg temperature was T, , and the water temperature in the pot was 0, ; suppose also that the ambient air has the temperature Tm. Assume that the heat capacity of the pot is much larger than that of the egg, so that we can neglect the influence of the egg on the water temperature in the pot. Then the temperatures and of the egg and of the water in the pot are described by the equations: k(T – 0), dt = km (0 – Tm) , where k, km < 0. dt (a) Find the egg temperature T(t) and the pot temperature 0 (t) for distinct constants k and km. (b) The same, for k = km: (c) Find lim T(t) and lim 0(t) in both cases above.

Q: What does 6!2! 4!3! equal?

A: Using factorial formula:n! = n* [n-1] *[n-2] ------6! = 6*[6-1] * [6-2] * [6-3]* [6-4]* [6*5]     =…

Q: specfically though, tell me what i'd put in EACH specfiic box.

A:

Q: not equal to (2 ni•3)•(2•4

A: Introduction:   Multiplication is a mathematical operation that represents the fundamental concept…

Q: If u = and , then what is the magnitude of 2 + . Round to the nearest hundredth. Answer:

A:

Q: What is the answer to the operation {1,2,3,4,5}∆{2,4,6}?

A: 1,2,3,4,5∆2,4,6 is solved as shown below.

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: 2 2 J 1 2 3

A:

Q: don't understand how the equation turned into 5x+x+6/x(x+6), could you go through the equation again…

A:

Q: What is the first answer cant read it quite well

A: Let's find 1st answers.

Q: (g) A company has two employees with 12 offices. How many ways are there to assign different offices…

A:

Q: Mr Han bought some pens. He gave 225 pens to Class 3A and 132 pens to 1 Class 3B. He gave of the…

A: Given that Mr. Han bought some pens . He gave 225 pens to class 3A and 132 pens to class 3B.He gave…

Q: At a math contest, 57 students are wearing blue shirts, and another 75 students are wearing yellow…

A: The total number of students at the math contest is: 132 students These 132 students is paired as 66…

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A: We hvae to find number of ways to arrange..

Q: How many ways are there to have one puppy out of the four with pointy ears? 1 3. 4

A: Given that, an ultrasound  reveals that Statspoodle will have four puppies. we need to know how many…

Q: Evaluate s(s³ – 4) ³ -4) 3 ds Vs –10s² + 6 99. |

A:

Q: How many ways are there to put 5 balls in 2 boxes if the balls are distinguishable and the boxes are…

A: Total number of distinct boxes=n=2 Total number of distinct balls=r=5

Q: How would you solve this problem if there was repeated letters like lets say " MISSISSIPPI?

A: It is given that word MISSISSIPPI.

Q: Hi can you please answer b(iii), b(iv) and c?

A:

Q: If n(A) = 115, n(B) = 115, and n(A U B) = 140, what is n(An B)?

A:

Q: (d) At least 13 of them do not use the website.

A: It is given that the number of observations are independent of the probability of success p = 15% =…

Q: Into how many ways can you decorate the clown hat with three positions using three round pom-poms?…

A: We have 3 choices of pom-poms for each of the 3 positions. So we can decorate the hat in a total of…

Q: 1 Determine the values of a, b and c if: 2(a,b,4) +(6,8, c) – 3(7,c,-4) = (-24,3,25)

A: We can solve this as follows:

Q: Suppose you roll 2 dice. What is the pobability that the sum of the 2 dice is exactly 8, given that…

A: The number of possible outcomes when rolled a pair of dice is 36.

Q: There are 49 runners in a race, and no ties. In how many ways can the first three finishers be…

A:

Q: The manager of the baseball team has to determine the order in which the players will go to the…

A: Given,Total no.of players=9

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

A:

Q: #3) If your class has four tests and you get grades of: 72, 85, 79, 91 What is your test average?

A:

Q: 3 To make hot chocolate Raquel poured oup of chocolate syrup into an empty mug then added up of hot…

A:

Q: Out of 143 customers of Domino's Pizza, a total of 65 ordered pizza with onions, 77 ordered it with…

A: Given,out of 143 customers of Domino's Pizza, a total of 65 ordered pizza with onions, 77 ordered it…

Q: If T1A = T1B then what is 02c?

A: Solution

Q: hat is the value of c if (1 + c) = 4 and c> 0? n=1 nswer: c =

A: Given query is to find the value of c.

Q: I used the permutations formula to determine the number of ways the manager of a baseball team can…

A: Combination : Using combination set of n distinct items r number of way selected without…

Q: The average of 3 numbers is between 7 and 10. The sum of the numbers could be any of the following…

A: Given that:-The average of 3 numbers is between 7 and 10.let, the three numbers are N1, N2 &amp;…

Q: 2 e2xdx

A:

Q: Why does the class go from 14-20 instead of 14-19 like the textbook shows? The textbook provides 7…

A: Given

Q: 5. ( 6. 4a (a *bj² 7. 8. ( 6a b

A:

Q: You gave me the answers that I already got correct?

A: You gave me the answers that I already got correct?

Q: of the apples is equal to 3 of the oranges. If there are 12 mor 5 In a fruit stall, - - annles than…

A: Fraction:  A small part of something.  In other words, numerical value that is not a whole number A…

Q: 2 Let 3 then x = O a 3 O b.-4 O c-3 O d. 2

A: The correct option is, option (c) - 3 The detailed solution is as follows below:

Q: How many ways can 6 people be seated in a round table if a. persons A and B must sit next to each…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.