1. Let, a1 = 7 and for n 2, an An-1 express an in terms ofn. %3D ". **

Q: 2. Let S be the set [9] = {1.2..9}. 1 (D) How many derangements of S have 9 in the 2nd position and…

A: We have the set 9=1,2,...,9 We need to find the number of derangements. There are 9 places to fill…

Q: 6.8 Obtain a test for Ho: B1 = c versL

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Q: (11) Let X = n(µ,4) and Var(2x) = E(4– 7x) find u.

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Q: Suppose that an experimenter tossed three balanced coins. He defined X₁, to denote the number of…

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Q: Ive for æ if In(x? – 1) = 0.

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Q: (c) w = 5ln(7r + 8) %3D O u = r' + 8, w = 5lnu O u = 7r, w = 5 (Inu + In8) O u = In(7r), w = 5 ln(u…

A: w=5 ln(7r+8)

Q: Compute r for each of the following: 1. EX 225 2. EX = 32 3. EX 180 ΣΥ- 22 EY 1 105 ΣΥ-147 EX? = 9…

A: We have given that the data of X and Y in 3 sets.

Q: - the following sys 2z = 1 Bz = 3 az = b

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Q: If A= then A" + nl is equal to

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Q: 2. f(x) = In 3r on [1,4 with n =5

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Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

Q: Part 1 of 5 (a) When a = 0.10 and n= 22, Xieft 11.591 = 32.671 Kright Part: 1/5 Part 2 of 5 (b) When…

A: a)GIvenα=0.10n=22

Q: Show that D13 is isomorphic to Inn(D13).

A: Given the Dihedral group D13. We have to check this group is isomorphic to Inn(D13).

Q: In x /1+ (In x)² -dp-

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Q: A factory received a shipment of 11 lightbulbs, and the vendor who sold the items knows there are 3…

A: Given in the question: Total bulbs, N = 11 Defective bulbs, x = 3 Now we will calculate the sample…

Q: 7 of 17 If LAO} =F(s), then L{f{4t)}= %3D

A: Here we solve this from the definition of Laplace transformation.MKMJCDSCDS

Q: 4. ( Give a case in which |(x, y) |xlly|l.

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Q: Q5 Show that EL >². n n =1

A: Consider that x is a random variable. From the formula of population variance;

Q: Suppose 5 of every 9 dentists recommend Mintyfresh Toothpaste. Suppose ten dentists are chosen (a)…

A: A binomial distribution can be thought of as simply the probability of a success or failure outcome…

Q: What can you say about the upper bound of E(x) for numbers of the form 3^(2n) + 1?

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Q: Compute the quantity. 5 (ww) w, using w= -2 W W -6

A: Given: w=5-2-6 To find: 1w·ww   Dot product of two vectors u=u1,u2,u3 and v=v1,v2,v3 is given by…

Q: 2. Evaluate the following dr 2.1.V1-(In)* dr 2.2. VE(1+ z) dr e-e- 2.3.

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: To find the population assume that the rate of change of mosquitoes remains constant at 180 per day.

Q: 3. Is this sentence consistent? “There is someone who loves exactly those people who do not love…

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Q: Σ 9n n = 1 Identify an-

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Q: Ex : Express the Sum o+ 2 +4+6+8 in Sigma nata tion. K = -2 %3D -2

A: First we find nth term of AP then replace k by k+3

Q: 19. Quotations of Index Numbers of security prices of a certain joint stock tompany are given below…

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Q: 4 Show that DE B0) n s+ Ø

A: We will use basic knowledge of metric space (or general topology) to answer this question.…

Q: Suppose m> n. Show that L x"

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Q: 4 Let w = x. In(xy²z³), then which of the following is O a. 0 O b. O d. O e

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Q: 6- The special sotution 5014tion to the र१पच्दं०n . -ya)=x"e? 1 XP A/ Xex Ğ d/other than that

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Q: (b) Suppose that for a particular disease c = 0.6/day, and b = 10/day. What value must k remain…

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Q: d. What happens if P < M for all t?

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Q: Suppose P(t)represents the population of a certain mosquito colony, where tt is measured in days.…

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Q: 2. (a) Evaluate e²-dr, where a > 0.

A: Let, I=∫0∞e-x2-a2x2dxI=∫0∞e-x2e-a2x2dx Let F(x,a)=e-x2-a2x2DaF=-2ax2e-x2-a2x2DxF=-2x+2a2x3e-x2-a2x2

Q: Suppose P(t) represents the population of a certain mosquito colony, where tt is measured in days.…

A: Given p(t) represents the population of a certain mosquito colony Given initial population P(0)=574…

Q: Suppose thát the captain of a ship that is in distress must send a

A: sollution is given below:

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: Given query is to find the population of mosquitos after 13 days.

Q: -In 3 e* In 2 V4 - e*

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the…

Q: We conclude that: for every additional distress input, the brain activity increases by 0.061 units…

A: Answer:----.               Date:----6/10/2021 since slope is change in dependent variable with 1…

Q: (35 Show that the following grephes are Hameltonian 8) e a) d c) a ol

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Q: Consider the function 2: {1,2,3, 4} - + {0, 1,2} defined as follows: N:n → (2n +2) mod 3 (.1) Draw…

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Q: Write equation for each ellipse

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: We can find the mosquito population in 17days as below

Q: 3. Let E beE E. Suppose th

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Q: 7. (12) Show that the hypotheses of the Mean Value theorem are satisfied and find all values…

A: 1. For the testing of the hypothesis of mean value theorem we need to know whether the function f(x)…

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: