3. Ms. Flanagan has three daughters: Astrid, Beatrice, and Cassandra. Today, January 1, their ages are, respectively, A(n)= - (n + 30) + (2n + 5) B(n) = (7 – n) – (32 – 2n) C(n) = (n – 26) – (n+ 4) + (n – 3) - - All ages are expressed in years, and n represents Ms. Flanagan's age. a) Are the daughters triplets? Explain. b) Are any of them twins? Explain. c) How old was Ms. Flanagan when Cassandra was born?

Q: The population of a certain province in year 2000 was 2.7 million. Its population grew to 3.3…

A: Solution:- The solution is given below,                    step-by-step solution, The population of…

Q: 12 Given A= 4 3 then 1 -2 -5A-1- -4 3 -1 2 -5A-1= O b. 4 -3 3 -2 -5A-1 C. -4 1 -3 2 -5A-1= Od. 4 -1…

A: A=1243To find:-5A-1

Q: 42- 24- 18- 12- 0+ 3 Number of years of use Value of computer (in hundreds of dollars) N.

A: The rate change can be calculated from the slope of the linear graph which is: Rate of…

Q: 1. y = e9r-5 2. у — 2л In(z + 2) 3. у %3 (2л — 5) 1log (3z? - 6x)

A: The solution for the above question is as shown below.

Q: (4x -1-7) dr– (5x - 21-8) di = 0, when 1 = 1, x = -2 D (x-1-1)' = 8 (2r-t-3) O (5x - 21 - 8) = 3 (2x…

A: (4x-t-7)dx-(5x-2t-8)dt=0 when t=1, x=-2

Q: 1 which of the following is equivalent to 2x-4 O B. -4x²+6x + 5 0 4x²-6x-5 >0 E. 4-2x

A:

Q: Suppose , a =6a n- 1 – 11a + 6a п -3 +2-3". What is a (h) = ? n-2 C, 1" + C, n 2" + C3 3" C, 1" + C,…

A: See the detailed solution below.

Q: 2. + -+- 1.3 3.5 5.7 + + 1 n (2n-1)(2n+1) 2n+1

A: As per guidelines, I can do first question only.

Q: a) 5n + 1 3n2 2" (b) Σ 1 ( c) Σ n=2 nº - 7 - 1 n=1 n=1 3n

A:

Q: 15- (x + 5)lnxdx =? a) (-21/4) - 12In4 b)O (21/4) - 12ln2 (23/4) - 12ln4 d) O (-23/4) + 12ln2 e)…

A:

Q: * Q1 1 |1 2 31 -1 -1 0 21 3 -3 11 14 5 -71 -41 -7] -14] 2. -11 3. 5 -7 5] 5. 1 2 3 1. 4.

A:

Q: In n с. n=1_N E(-1)"n-10/11 d. n=1 c. E(-1)"n* -6/5 n=1

A:

Q: (-1)"+1(2n + 3) n + 10 n=0 8.

A: ∑n=0∞ -1n+12n+3n+10 Apply Series Divergence Test If limn→∞an≠0 then ∑an diverges limn→∞…

Q: (a) A project management consultant estimated that if a particular project was completed, t years…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (8.1) Given f (n) = 2n and g (n) = -n- 4, find (fog) (n). -2n? - 8n -2n - 8 -2n - 4 2n - 4

A:

Q: Suppose that: a) E1 [ -4  2 ] = [ -8  4 ] , find E1 and E1^(-1)          [ -4  4 ]     [ -4  4 ]

A: Since there are multiple questions posted, we will answer the first question (a). If you want the…

Q: 17. If A = -3l, then what is I + 2A + 3A² + 4A³ + 5A* + ... ¤?

A:

Q: Identify the two series that are the same.

A: In order identify the same series, just write the few terms of the gives series as follows. (a)…

Q: (-1)n+13n (b) n5n n=1

A:

Q: (-1)"n²(x+3)" 2. 5n n=1

A: Radius of convergence

Q: Þ(1) × Q1 = Þ(2) × Q2 Þ(3) ~ Q3 (4) × Q4 = Þ(5) × Q5 =

A:

Q: (c) –1)" n'/3 n=1 e2n ( a) Σ (2n)! n=1

A:

Q: 1 Σ (-3)²+" (n² + 1) -(4x – 12)" n n=0

A:

Q: 4. 43 + n+3 n'+6n+9 5. 부-부 x*+38 x-5 13x-2 6. x-5 7. *- у 3y 3 8. c+2 c-3

A: Consider the first expression:…

Q: -ges 3n +n 9n b) L7-2)n+1n n! n=1 (-10)" d) 242n+1(n+1) n2 (2n – 1)! n=1 0=

A:

Q: 4 Σ n2 +4n +3 - 9-n+24n+1

A: Separate the sum.

Q: If your supervisor decides that they want to be 95% confident in the results of a survey where the…

A: From the provided information, Margin of error (E) = ±0.05 Confidence level = 95% Population…

Q: If a_1=9a1​=9 and a_n=4a_{n-1}an​=4an−1​ then find the value of a_5a5

A:

Q: 2(n!)2 (2n)! n=1

A:

Q: Зп + 1, A) 2n 4 — 2п n=1 n1-3n В) 42n n=0 (-5)1+2n C) 25п-3 n=4

A: Here we apply different tests like comparison test and Leibniz test.

Q: Example 9.10. Solve y2 - 4y = n² + n - 1.

A: Please find step by step answer below:

Q: 2n+2 – 3" Σ - 2. Determine 6n+1 n=0

A: To find: ∑n=0∞2n+2-3n6n+1

Q: 3)The owner of a small-appliance manufacturer finds that if the firm produces and sells x blenders…

A: The profit function is defined for x≤225 because the owner wants to produce no more than 225…

Q: Identify the two series that are the same.

A: We have to find which series are same. We have given series…

Q: and n 12/22 -42 Z+6z Z722+2 2ナ z2, 4z+3

A:

Q: 4 a. En=1 100 3n3-5n 11 b. nylnn n=1 3n! С. Z1·4·7·10 … (3n + 1) ... n=0 8

A: See the details solution in below

Q: 4β) 5 482/25 28 -10-t(n-1)

A: Random variable can be α=4,β Mean and variance can be, E(X)=αβ=4βVar(X)=αβ2=4β2 Size of sample is…

Q: 12cos^2(t) + 2cos(t) - 2 =0 0≤t≤2π

A: Given that 12cos^2(t) + 2cos(t) - 2 =0 0≤t≤2π

Q: 2(-1)n-1_6" n=1 5n+1

A: To find: ∑n=1∞-1n-16n5n+1

Q: determine all possible rational solutions of the polynomial equation.

A: (17).                            f(x) = x3 - 6x2 + 5x + 12Possible rational roots :…

Q: (a) A project management consultant estimated that if a particular project was completed, t years…

A: According to the given information, A project management estimate that if a particular project was…

Q: -3 -5 2 -3 -5 2 d. Suppose that E4 -2 -3 -3 -4 -6 -6 4 -4 4 -4 Find E4 and E,'. E4 = 3. II 3.

A: Given: E4-3-52-2-3-343-4=-3-52-4-6-643-4

Q: 2) 2 = п-1 n-2 3) 3. 4) = x+5 X-2 3 -4 5-t 13 5) 3+t |3D 12 n+8 n-3 6) -5 -1 II

A: We have to solve the equations for the x.

Q: e-2 h(x) 1 + e(3x² + 8) %D is e-2(-2)(1 + e(3x2 + 8)-e(3x² + 8)(6x)(e=2) O h'(x) = (1 + e' e(3x2 +…

A: Given query is to find the derivative of the expression.

Q: + + -5 -4 -3 -2 -1 у 5+ 4+ 3+ 2+ 10 О -1+ -2+ -3+ -40 −5+ 1 2 3 4 5 X

A:

Q: B. Use combinatorial proof to solve the following problems 1. (;) (:3) = (2) (3) п-2 \k-2,

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: 11) Which of the following shows the solution for n2- 2n < 24? 十十 A) 6-54-3-2-10123456 + +++++++…

A:

Q: (-1)".n -1)".n 5n+2

A: