Use the Root Test to determine the convergence or divergence of the series. (If you need to use co or -00, enter INFINITY or -INFINITY, respectively.) n= 1 lim Vla, n- O converges O diverges O inconclusive

Q: Let S = {[" e Mzxzi a = d and b + c = 0} be a subspace of M2x2- Then the dimension of S is equal to:…

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Q: If: 1 5 9 -3 -8 6 -4 -6 -2 7 -8 -3 A = -1 8 7 2 -4 -8 7 -7 -2 -7 -6 3 -8 7 -8 7 4 -3 -5 B = -6 3 -5…

A: Given matrix and

Q: (6) If u, =*-!P«(x)Pn -1(x) dx, show that nu, + (n – 1)n-1 = 2, %3D and hence evaluate u„.

A: Given un=∫-11x-1PnxPn-1xdx

Q: y" + 8y' + 17y = 0, y(0) = 1, y'(0) = 0 O y = 4cost + sint O y = 4e #cost + e4 sint O y = e cost +…

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Q: 1- Is the following argument valid or invalid? Why? (x) (~Ux v Hx)                          Ux= x…

A: Given that (x)~Ux∨Hx where Ux=x is unicorn, Hx=x has a horn We can write it as (x)Ux→Hx It means…

Q: Give a recursive definition of the sequence 2, 4, 6, 8, 10, . Then write the corresponding recursive…

A: Given sequence is 2, 4, 6, 8, 10, .......... We have to write the corresponding recursive algorithm.…

Q: Find the (a) approximate error and (b) relative approximate error of the following: The derivative…

A: Note:- For this problem, you don't mention any particular method and anything about h. So, I'll try…

Q: [1 0 0 1 -2 2r – 4 15. Consider the matrix A where r is a constant. 1 -r + 2 The values of r for…

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Q: Q1- Determine the coordinates of the centroid of the area.: (1, 1) y= x,

A: The given problem is to find the centroid of the given shaded area of the region formed by given…

Q: Derive Newton-Raphson iterative formula for computing the value of VM, where M is a positive real…

A: We have to derive the Newton-Raphson iterative formula for computing the value of M, where M is a…

Q: .Let S be the part of the sphere r+y+ z = 4 located above the plane z 0, oriented at the point (0,…

A: Here we can use divergence theorem, which states that ∫∫S F n ds=∬∫V divF dvHere divF=divergence of…

Q: Q2/ Complete the following table to find the values a , b,c and s y A -1 2845 308 3162 S 1 3544 a b…

A: It should be 317 in the place of 308. Because (3162-2845)=317

Q: II) By using the limit definition of derivative, prove the identity rf(x)8' da f'(x)8 %3D

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Q: a)i 1: Find the length of the curve y =/1-x², - 1<x<1 Length= b) [ : Find the volume of the solid…

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Q: 1. Apply Maclaurin's series to establish the power series of tanx.

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Q: Consider the function f(T,y) kr 2xy + y. 1. Show that (0, 0) is a critical point of f(r, y). 2.…

A: This is a problem of multi-variable calculus.

Q: Haw.2 The compressive Stresf (r)of a kectangular beam section is given by thefakmuta: P. bh 6 M…

A: We have σ=6Mbh2+Pbh Now, dσ=∂σ∂MdM+∂σ∂bdb+∂σ∂hdh+∂σ∂PdP Given that:…

Q: 6. Find the area bounded by: a. The curve y=4x-x and the lines y=0, x=1 and x=3. b. The curve…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75)…

A: Here              x0=-0.75, x1=-0.50, x2=-0.25, x3=0.and y0=-0.07181, y1=-0.02475, y2=0.33494,…

Q: Find a Taylor series expansion around x = 1 for f(x) = 2/x2

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Q: A fast-food restaurant has a cost of production C (x) = 12x + 95 and a revenue function R(x) = 7x.…

A: Given cost function is Cx=12x+95 and a revenue function is Rx=7x. The profit function is given by…

Q: Q2/ Complete the following table to find the values a, b,c and s y A3 -1 2845 308 3162 S 1 3544 a 2…

A: The solution is given in the next step.

Q: Find the value of 786 (mod 13) using Fermat's Little Theorem. Remember, x (P - 1) = 1 (mod p) 786 =…

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Q: 9. Using the notation of the previous problem, prove that for sets A, B, C, DE P(X) AAB = CAD → AAC…

A: First we take forward part and take an element in A∆C and show that it is in B∆D and then take…

Q: To save for graduate school, a student invests $2660 semiannually in an ordinary annuity with 9%…

A: Given that Invested amount in an ordinary annuity with 9% compounded semiannually=$2660 To find The…

Q: Q3. If a constant number h of fish are harvested from a fishery per unit time, then a model for the…

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Q: Sketch the following: x² y x – 1

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Q: Inter secting the sphere x*az²4 with the peleme z-L results in two surfaces. Make a roughelon. Let s…

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Q: Suppose that T is a linear transformation such that 4 -32 T T 15 Write T as a matrix transformation.…

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Q: Simplify in polar form (sin 0 + i cos 0)¬n Explain your reasoning.

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Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: Given Q1 = 150 - 3P1 + P2 + P3 Q2 = 180 + P1 - 4P2 + 2P3 Q3 = 200 + 2P1+ P2 - 5P3 and TC = Q12 +…

A: We are given a constrained optimization problem, with optimization function TC From that we have to…

Q: Find a Maclaurin series expansion for f(x) = tan−1x

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Q: A is 2 by 3, B is 3 by 2, C is 3 by 4, D is 2 by 4. All entries are 1. Determine if the following…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Q3/ The value of k such that P2(1) = 2.8, 2 k 4 Is إجابتك

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Q: The surface area of the cap cut from the paraboloid y + z? = 3x by the plane x = 2 is Select one or…

A: Given the paraboloid  y2+z2=3x  we have to find the surface area of the cap cut from the paraboloid…

Q: If -6 9. 7 A 2 -8 then A- ||

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Q: Maximize z = 7x1 + 4x2 + 4x3 o Subject to 8x1 + 2x2 + 9x3 < 42 2x1 + 2x2 + 4x3 < 36 5x1 + 2x2 + 2x3…

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Q: The monthly invested payment is $. (Round up to the nearest cent.)

A: We have to find the monthly payment value of given sinking fund.

Q: While on a business trip in February, Bob Barrett charged the following expenses to his company's…

A: Correct option is - D

Q: John Lee's savings account has a balance of $716. After 3 years, what will the amount of interest be…

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Q: The regular price of a color TV is $502.11. During a sale, Hill TV is selling the TV for $405.71.…

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Q: Find the Bernstein Poly nomial when You put n =5. that means want to find Bn (f/(x)

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Q: If v is an eigevector of T E L(V) with eigenvalue A, then v is an eigenvector for T – µld with…

A: From the given statements, we have to check whether it is true or false and we have to explain this.

Q: Find the matrix M of the linear transformation T : R² → R² given by 6x1+ 8x2 -7x1+ x2. T М —

A: We have to find the matrix of linear transformation.

Q: the adeeva gross monthly income is 6400. They have 18 remaining payments of 360$ on a new car. They…

A: Total  monthly income=$6400 Total deductions=360+430=790 Part(a): Adjusted income=6400-790=5610 So…

Q: A school district school board is dividing between five high schools. The school board can hire 300…

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Q: Find the (a) approximate error and (b) relative approximate error of the following: The derivative…

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Q: State whether or not the relation below represents a function and state its domain and range. a. b.…

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Q: What is the equation of a line parallel to y = 7x – 8 that passes through (5, -2)?

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