Let an be recursively defined by ao = 2, an+1 = √5an for n ≥ 0. Either show that an converges and find its limit, or else show that an diverges to ±∞o.

Q: (x+2y-1) dx - (2x+y-5) dy = 0

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Q: Exercise 3.4 Solve the linear system x+y+2z+ 2t x+y+3z + 3t = 2 = 2 = 2 = 2 x-y+z-t x+2y+3z + 5t a)…

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Q: Prove that if x is a real number such that x ≥ 0 and x ≤ € for all € E R where € > 0, then x = = 0.

A: This question is from real analysis.Answer given below.

Q: In Exercises 9  write a vector equation that is equivalent to the given system of equations.

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Q: 10. (-1)". n=1 √√n 2n + 3

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Q: 3. Let G be a group of odd order and H be a normal subgroup. (a) Prove that if |H| = 5, then H ≤…

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Q: determine L[f ∗g]. Q. f(t)=t2, g(t)=e2t sin2t.

A: Then given function is ft=t2, gt=e2tsin2t. We have to determine Lf*g.

Q: EXERCISE 1: Intersection and union of subspaces Let U and W be two subspaces of a vector space V.…

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Q: Sketch a graph of f(x) = -5 4 -3 -2 -1 Clear All Draw: 5+ 4 3 2 T -1 út & N -51 1 3 if if x-2 if -2…

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Q: We are given points A(0, 2, 3) and B(2, 7, 5). (a) Find the equation (in vector form) of the line &…

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Q: x³-4x²+7x-6 X-2 a. Graph the function on the window xmin = -2, xmax = 4, ymin = 0, ymax = 10. 2. Let…

A: As per the guidelines I have solved first three subparts of the given problem.

Q: EXERCISE 2: Vector spaces Let U = ((1,2,3,4), (2,2,2,6), (0,2,4,4)) and V=[(x,y,z,t) € R¹; -x+y=z= 0…

A: According to our guideline, We can solve first there subpart of a multipart question. So, here we…

Q: A giant cylindrical ocean aquarium has a glass wall around the outside (not including the floor and…

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Q: A 62 mg sample of radioactive material has a half-life of 20 days. a. Write a function that models…

A: Given data, Initial mass of the sample is 62 mg.  half life of the sample is 20 days.

Q: The difference between simple and multiple regression is Select one: a. the number of independent…

A: b) is the correct option

Q: Three fire observation towers are located at points A(-10, -14), B(7, 13), and C(-7, 13), on a map…

A: Location of tower A-10,-14, B7,13, C-7,13 Distance from fire is 17 km, 15 km, 13 km

Q: Estimate the area under the graph of f(x) rectangles and right endpoints. Rn 1 x + 1 Repeat the…

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Q: 4 If what does the following integral equal? -1 -8 y(v) dv= [₁ y(v)dv = 13 -8 and 3 [₁₂0² -1 y(v)dv…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) F(x)=x² (n(x) (a) Find the…

A: We have  fx=x5lnx⇒f'x=5x4lnx+x4⇒f'x=x45lnx+1 Critical points f'x=x45lnx+1=0⇒x=0, lnx=-1/5⇒x=0,…

Q: C. Given the following differential equation and initial conditions: 0.01 d²y(t) dt² +0.08 dy(1) +…

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Q: Problem #4: The second-order linear differential equation xy" + 2y = 12x² can be solved by first…

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Q: Fill in the blank with either E or to make the statement true. {9}_ _{8 +1,9 + 1} Select the correct…

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Q: x+y 8. If (* = 256 and log (x - y) = 3, calculate the exact values of x and y algebraically. Show…

A: Answer

Q: 16. Fill in the blanks in Pascal's triangle. Explain at least two patterns you notice. 1 1 1 1 1 1 4…

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Q: An amount of $500 is invested at the end of each month for 12 months into an account that pays 3%…

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Q: 1. For the following statements, state if it is true or false. If it is false give a counterexample…

A: True  True True False

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Q: A Bernoulli differential equation is one of the form dy dî Observe that, if n = 0 or 1, the…

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Q: Evaluate the following double integral over the region R by converting it to an iterated integral.…

A: We have a double integral over a region R and we need to convert it to iterated integral , with…

Q: Use the given information to find n(A x B) and n(BXA). n(A) = 89 and n(B) = 9 Find the number of…

A: The cardinality of resulting relation from a Cross Product operation is equal to the number of…

Q: For P = {1, 12, 14, 15}, Q = {2, 7, 11}, and R = {3, 7, 9, 11}, find P U (QNR).

A: Given: P=1, 12, 14, 15; Q=2, 7, 11; R=3, 7, 9, 11To find: P∪Q∩R

Q: The Following function: f(x)=(x²–3) (e-0.02x+5) What is the value of root x ?

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Q: Please show your solution on the paper.

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Q: Let f(x) = x² + 4x and g(x) = 2x+6. Find each of the following. You do not need to simplify but can…

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Q: The table gives methane gas emissions in millions of metric tons. The quadratic model y = 0.0429x² -…

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Q: Solve for x: log(x+4)= log(2x-1)

A: To solve the equation for x: log(x+4)=log(2x-1) Taking antilog both side we get, x+4=2x-1 =>…

Q: Pablo and Imani want to split a bag of candy, and decide to use the divider-chooser method. The bag…

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Q: f(+) anned with CamScanner =t5e е 3€

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Q: Sketch the graph of the function f(x) Let g(x) = f(t)dt. (a) Then g(-9) = › g(2) = (c) g has a…

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Q: Use the convolution integral to find the inverse transform of: 1 1 p+ap²-6²

A: The given function is Qp=1p+a1p2-b2. We have to find the inverse transformation by using the…

Q: + Z² -1 According toth 92 + y2 9² and inside the cylinderx² + y²__ay=0

A: To find the volume by double integrals.

Q: Board Company's direct labor information for February is as follows: Direct labor hours worked…

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Q: Given sets X, Y, Z, and U, find the set X (X-Y) using the X = {g, c, a, b} Y = {g, e, c} Z = {e, c,…

A: X=g,c,a,bY=g,e,cZ=e,c,f,a,dU=a,b,c,d,e,f,gX∩X-Y=?

Q: #2. If 2₁ and 2₂ are two complex numbers, show that 12₁-221² + 12₁ +221² = 2 ( 1211² + 122 1²).

A: 2. Let z1 = a + bi and z2 = c + di be two complex numbers.      Then,          |z1|2 = a2 + b2…