Exercise 2.10. Prove the division theorem by induction. (Hint: Take a to be a fixed positive integer and let b vary. Prove the theorem for varying b by induction. First treat the case b = 1. Then assume that the theorem is true for a given b and show that it holds for b+1.) The division theorem can be strengthened by adding a statement about the uniqueness of q and r:

Q: 4. 10p-p-2

A: The given expression is : 10p2-p-2 To factorize the given expression.

Q: could please write this in on a piece of paper, so that it is easier to understand?

A:

Q: This solution seems unclear. Please write the correct solution legibly. I need the solution to be…

A: A fair die is tossed 72,000 times. n=72000  Let X be the number of times that 4 comes up on the die.…

Q: This is a little bit difficult to read can you rewrite this please to better understand?

A:

Q: I need help checking my answers on some study problems. Thanks for your help.

A: We have been given two rational functions and we need to find some composite functions and their…

Q: Can you please show steps for question (i) and (ii)

A: i) The first  system  can be written as  after taking Laplace transform as -   L{dxdt}=L{-ax}…

Q: figured out part a. How do I do part b and how do I put it in my calculator?

A:

Q: Could you give a mathematical explanation for part c please?

A: A plane and a line will not intersect if they are parallel to each other. Now, from the equation of…

Q: Thank you very, very much! Could you help me with the last 3 parts?

A:

Q: After being convicted of a crime you are sentenced to 300 consecutive days in Cleveland. If you…

A:

Q: I am currently taking business math. Does this program help me with any math problems I cannot…

A:

Q: Can these steps be further explained please? I am having a hard time following.  Thank you for your…

A: Let, 'x' units refrigerators and 'y' units stoves to be  produced in order to maximize the profit…

Q: I have trouble following part C, some steps are missing and as well it is incorrect.

A: The expression for A(t) should be A(t)=0.06-0.06e-0.81300t

Q: ease answer this question How can you resolve aliases?

A: The alias structure defines how effects are combined in fractional  design. Aliasing in a fractional…

Q: I'm very confused. I get to step 3 and i get lost. Please help.

A:

Q: This answer is wrong according to the program that I use for homework. Can you please check your…

A: To find P(T≤1) for a random variable T that follows a Gamma distribution with parameters α=4 (shape…

Q: Can you explain the second question/step 2 more clearly? I'm having trouble following what to do.

A: We have to find the values at which x2 + y2 = 8 passes the vertical line test.

Q: Suppose the average life expectancy (in years) of people with diabetes is normally distributed with…

A: Given information Population mean µ = 72 years Standard deviation σ = 10 years Sample size n = 50…

Q: c question please clarify f

A: The 3 major central tendencies are: Mean Median Mode   Mean A measure of central…

Q: the answer that is provided is not correct all of them except number 1. Can you please try to do it…

A:

Q: Part b is not completely right please check that and also part c is completely wrong. Please provide…

A: The given data of the risk of stroke, age, blood pressure, and smoker status for several individuals…

Q: Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, : {3, 5, 7}. List all the members…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…