Use the Integral Test to determine the convergence or divergence of the p-series. n- 1 O converges O diverges

Q: We learnt in class/Notes that A[x] → (Vx)A[x] is NOT a theorem if x indeed occurs free in A. Yet, I…

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Q: Sinking Fund Payment Time Period (years) Nominal Future Value Payment Frequency Interest Rate (%)…

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Q: 34. Ruby's dog has 8 puppies. The puppies include white females, 3 mixed-color females, 1 white…

A: Clearly this event is NOT MUTUALLY EXCLUSIVE (NME).

Q: Find the general solution of the differential equation d²y dy + 4 dx2 dx + 4y = e2* sin(2x).

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Q: 3) s) Determine the highest real root of f(x)=3x' +11,8x -17,8x-6 a) Graphically, b) Fixed-point…

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Q: Who was the Winner by the HARE METHOD? (AJB) = 5, (BJA) = 4, (JAB) = 4, (BAJ) = 2 A-Amber B B- Bill…

A: Given: AJB=5, BJA=4, JAB=4 and BAJ=2   To determine: The winner by Hare Method.

Q: It is known that Yp = a cos 6x +b sin 6x is a particular solution of the differential equation y" –…

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Q: a. Evaluate the following limits based on the graph of y = h(x) which is shown in figure 1. Explain…

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Q: Find the value of zo so that dz = -2ri Izl=13 (z – z0) (z – 14i)

A: Given integral is ∫|z|=13z(z-z0)(z-14i)dz = -2πi   ---(1)

Q: If u = 7 then uu? and u'u =

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Q: Casey received a loan of $27,000 from the bank at 4.50% compounded monthly. If he had to repay $250…

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Q: Find the general equation of the plane perpendicular to the line z – 2 y + 4 1– x and is 3 3 passing…

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Q: Let there be the random vector Z E R"m Prove that E (||Z||) = tr(E[ZZ"]) %3D From the expression…

A: As per the question we are given a random m dimentional vector z , and we have to prove :…

Q: Which of the following is a solution curve to the differential equation dy %3D f(x, y) whose slope…

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Q: 53 75-x J100 -x² -y? + 100 - x - y + 10 Let J= z dz dy dx - 5/3 /3 (x² +y?) (i) Express the integral…

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Q: OPTION B: sinusoidal There are monkeys at the zoo playing on the swing in their enclosure. The…

A: As per the question we are given the equation of motion of the horizontal swing of a monkey as :…

Q: 3p Let p be prime. Show that = 3 (mod p).

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Q: Question (2) (Z -3)" Let PIZ)= = then : in a) Determine Zo=? and an2? b) Determine the Covergance…

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Q: B1: Let W be the subspace of R' spanned by the vectors: 3 2 ,v2 = 3 v1 = , V3 : ,V4 Apply the…

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Q: x +x-5 Find lim x-» 1- 2x- x

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Q: What will $82,000 grow to be in 11 years if it is invested today at 8% and the interest rate is…

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Q: Find the volume of the solid when the area contained by y = x² and y = x* is revolved around the…

A: Volume bounded by regions

Q: 29. Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario…

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Q: 11. If C(n, 4) = 126, what is n? * 11 10 7 O O O O

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 21. Suppose in your class of 40 students, 10 students love Math, 20 students love English, and 5…

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Q: an a) Converges n2 b) lim an =0 > cans converges dd) > cos (an) Converges n=1 e) Cos can) diverges

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Q: Determine the inverse of each function. Express in logarithmic form: A) y=3^x B) y=b^x C) y=(3/5)^x

A: Note: Let f(x) be a function and f(x)=y, then putting y into the inverse of f produces the output x.…

Q: Assume dn, en and fn are sequences of real numbers. Prove each of the following deductions a) dn=…

A: Given Assume that dn, en, fn are sequences of real number  then we have to prove the following…

Q: Find the volume. Use 3.14 for r. (Assume a = 7 cm, b = 14 cm, and h = 24 cm.) %3D cm3

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Q: 4) The graphs of y=x and y=x make it obvious that x >x for all real number x > 1. Use induction (not…

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Q: II. Determine whether the events are MUTUALLY EXCLUSIVE, write ME, if not write NME. 31. Find the…

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

Q: At least one of the answers above is NOT correct. Determine whether the following matrices are in…

A: Echelon form of the Matrix

Q: 7. Fill in the blanks An object starts from rest from its starting position and moves along a…

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Q: Consider all numbers between 20000 and 70000. Efficiently determine: A) How many of these numbers…

A: Part A - Let’s represent the number as ABCDE. You have to considere the special cases first, since…

Q: B3: Consider the matrix: 3 A =-2 -3 -3 2 -1 -1) a) Find the eigenvalues of A. For each eigenvalue A,…

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Q: -3 1 -3 4 -1 4 If A = -3 -3 -2 and B = -4 -2 -2 -1 -1 -4 -1 -3 -2 3B = an

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Q: Use the appropriate formula to find the amortization payment (in $) you would need to make each…

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Q: Which of the following is the solution of the linear system -x+2y-2z= -6 , -2x-2y-4z 9 None of them…

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Q: 6. Prove by CVI that every natural number n > 2 is a product of prime numbers. NOTE. A prime number…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Jesse purchases a retirement annuity that will pay him $1,500 at the end of every six months for the…

A: 9years +3 years =12 years r=3.5%t=11n=4 Payment received =1500×2×9+600×12×3=27000+21,600=$48,600

Q: Let y(x) be the solution of the initial value problem: y" – 4y' + 4y = 0, y(0) = 3, y'(0) = 4. 3,…

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Q: b. A particle moves in simple harmonic motion according to the equation, s = A cos(wt) + B sin(wt).…

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Q: Solve for the following systems of linear equations using Cramer's rule National-Income model:…

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Q: Compute the total cost per year of the following pair of expenses. Then complete the sentence: On an…

A: To solve this problem you need to know the followings :   1 year = 52 weeks  1 year = 12 month

Q: b) Find the value of a such that the value of the integral /" ecos(?) sin(t) dt = 0 Answer: I =

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Q: Find the work dr done by the force Fiyj+k around the curve Cthat is formed by the intersection of…

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Q: 26. A card is drawn at random from a standard deck of cards. Find the probability of drawing 2 or…

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

Q: Use synthetic division to find the quotient and remainder. (Simplify your answers completely.) x3 -…

A: Synthetic division

Q: 24. Jose likes to wear colored shirts. He has 1o shirts in the closet. Three of these are blue, four…

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Q: Compute the following products. -9 -7 -5 -8 -6- -7 3 -5 | に9 3 6- -5 7 -5 -

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