00 n* In n b) Is the series > is absolutely convergent or divergent? justify n8 – 2

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A: Theorem  :  If   W  be a subspace of V and  dim(W) = dim( V) ,  then  V= W

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Q: Pr. #14) Find and sketch the domain of the function in R2. In [sin- ()] (x, y) x2+y² %3D -

A: This is the problem of multi-variable functions.

Q: = { (; ):a,b e R}with the standard operations in M22. Which of the following statements is true?

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A: Cauchy nth root test:-

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Q: y = -a(x – h)? +k (-2.1 , 2.9) (1,n)

A: The given curve is y=-ax-h2+k. Here h=-1 and k=11 given. So the curves becomes y=-ax+12+11. Also the…

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Q: 2. Get the determinant 1 0 -1 2 2 36 1 4 4 5 0 1 • B= 1 Expand at row 2 (Methorl 3)

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Q: The Fourier Integral Representation of f(t) is (0, t1 f(t) 1 [sin w + 1 -(cos w wt 1 [sin w + 1…

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Q: What is the equation of the radical axis of the curves x^2 + y^2 – 1 = 0 and x^2 + y^2 – 6x + 6y +…

A: Let us consider the curve C1 and C2 To determine the Radical axis between the curve solve  C1-C2=0…

Q: Let W = {a + bx + x2 E P: a, b ER} with the standard operations in P2. Which of the following…

A: W is a subspace of a vector space V

Q: 10 m 10 m

A: Solution

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Q: Solve for the following 1. (5Z 40°) • (3Z 10°)

A: Product of two complex numbers

Q: Calculate: a) median b) first quartile

A: Class Interval Frequency Cumulative Frequency 90-105 24 84 105-120 62 86 120-135 72 158…

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Q: Let M = {(, ¿ )-G i )G : DC : D Then M is a basis for M2,3 the above M3,2 the above O None of the…

A: Given that     M=110000, 110010, 100101, 100001

Q: 9. Find the radius of convergence, R, of the series. Find the interval of convergence of the series.…

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Q: tind the remaininn parts of the spherical trinngles 95 09' 7" C 79°18'29", C= 900

A: Given: a=95°09'17''c=79°18'29°C=90° To find: Parts of spherical triangle

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Q: Find the area of the region R = (x, y) such that |x-1|-|y+1|<1 |x-1|+|y|<1

A: We will find all inequation eliminating modulus and the find common region bounded by both in…

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Q: II. Consider the function g defined by 1 g(x, y) = sin (7 /æy) + log3 (r – 3y) Do as indicated. 1.…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

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A: Given:   C(x) = 32,000+60x and R(x) = 130x-0.001x^2

Q: Suppose you flip a coin twice. Let H represent the head and T represent the tail. Which one of the…

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Q: 1. Find the determinant of the following: [2 0 1. 1 2 4 l4 4 2 0 41 -2 3 1 4. 4 5 -2 -3 4 5 2 61 2.…

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Q: Consider the curve C on the yz-plane with equation y? – z + 2 = 0 (a) Sketch a portion of the right…

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Q: Find Dy, Dx and the value of x, y,z    x + y + z = 2   6x -4y+5z=31   5x +2y+2z=13

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Q: 10 at x + 4 x = 0 using the limit definition of the derivative. Find the derivative f' (0) of f(x) =

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Q: " + 8y' + 25y = 13e-2t y(0) = -1, y' (0) = 18 %3D

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Q: Find the absolute value of z: b. z= (2+ 3)/(3- 4)

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Q: Evaluate the integral using Simpson's 1/3 and Simpson's 3/8 with n%3D11. Express the answer in four…

A: Simpson's 13 rule: We need to evaluate ∫14x-1 dx with n=11 Now, h=b-an We have a=1, b=4, n=11 So,…

Q: Question 2 [14 marks]. Show, using truth tables, that (a) ¬(p V q) ^r = -p^ (¬g Ar), (b) ¬ q V (q V…

A: We will construct the truth table to show  Logical equivalence in part (a) and tautology in part…

Q: Find the Laplace transform of the equation. a and b are constant.

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Q: 2. A particle is moving in space with position function Ř(t) = (sin(3t), cos(3t), 3 – 4t). 2.1. Find…

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Q: Which of the following is a subspace of R? O A. All vectors of the form (a, 0,0). O B. All vectors…

A: Subspace of a vector space:  A subset V of ℝn is said to be a subspace of ℝn if 1. The zero vector…

Q: 4 7. Use Laplace transforms and the results from Questions 1- 6 to find the response of (1) subject…

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Q: Solve the separable equation y = 2/y In x, y(e)=1. (initial value problem)

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Q: 8. True or false: DE is a tangent segment: 17 13 24 3. True O False

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Q: Simplify: (r = |7|, 7 = xì+ y} + zk) {

A: The solution is given as

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Q: Please give me one theorem and explain how you solve this theorem. Thank you

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Q: Question 7 a) Find all solutions of the recurrence relation an = 2an-1+ 3" b) Find the solution of…

A: (a)We have given a recurrence relation, an = 2an-1 + 3n an - 2an-1 = 3n We need to find solution to…

Q: (a) Find r()of the vector- valued function (b) Evaluate the integral of the following vector- valued…

A: This is a problem of Vector Calculus.

Q: S(1) = -e" sin (21 + n)

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Q: e Petermind is Hhis seriese Geometnic not emd Amd asumof it - 27-9 +371,..

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Q: Let W = {(0, x,y, z): x – 6y + 9z = 0} be a subspace of R. Then a basis for W is: %3D O None of the…

A: Basis for a subspace