Show that if an →a, then the sequence of absolute values |an| converges to la]. Is the opposite true? if we know that an → al, can we deduce that an → a?

Q: id the point (a, p) on the ellipse 4x + 3y = adrant, so that the area enclosed by the lines y = d…

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Q: A= 0 0 0 0 0 1 0 0 0010 0001 Find the cofactor 0 0 01 0-1 0 3 C 1,1

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Q: 2) B=(4,-√6,-10, 0, 7 Integers A) 4,0 2, 2, 1.7, √ 4 B) 4,-10,

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Q: Find the Fourier series of the given function f(x), of period p = 2L. f(x) | f(x) 2 = -1 Enter the…

A: Given Data: To Find the fourier series of the given function f(x), of period p=2L To enter the first…

Q: use some form of technology to determine a complete set of eigenvectors for the given matrix A.…

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Q: (b) Since (AB)*AB = B*A*AB = B*B = I and AB(AB)* = ABB* A* = AA* = I, we see that AB is unitary.…

A: Since A and B are unitary operators, so <A(x), A(x)> = <x, x> ........... (1) <B(x),…

Q: Let : RS be a ring homomorphism. Now let M be a subring of R and N a subring of S. Prove that ¹(N)…

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Q: 23 Solve y" - 2y + 2y = 2x2, y(0) = 0, y(t) = π.

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Q: Find the zero/s of the function f(x) = In(4x) - 3 using Newton Raphson Method. (Use 6 decimal…

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Q: Let an be a convergent sequence such that lim an = 0. Let bn be the sequence defined in the…

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Q: Use the sample data and confidence level given below to complete parts (a) through (d). A research…

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Q: Find the mass, the moments, and the center of mass of the solid E with the given density function p.…

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Q: How many elements are in A1 ∪ A2 if there are 12 elements in A1, 18 elements in A2, and A1 ⊆ A2?…

A: There are 12 elements in A1 and 18 elements in  A2 .  and A1⊂A2. Then we have to find the number of…

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Q: Given the vector space V = R³ over R and S = [(x, 2y²,y) ly,x € R} R³ which of the following is…

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Q: 6.    Find the answer by using the Pascal’s formula  (a) & b)

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Q: If t be a real number satisfying the equation 2³ - 92 + 30 - a = 0, then find the values of the…

A: Given equation 2t3-9t2+30-a=0 and x+1x=t We know that for all x>0 x+1x≥2 and for x<0 x+1x≤-2…

Q: A function y = f(x) is represented parametrically as follows: x = o(t) = t-5t³ - 20t+7 y = y(t) =…

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Q: A 1998 Pontiac Grand-Am depreciates in value by 18% on average each year. If the car originally sold…

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Q: Let f(x) be a differentiable function and g(x)=(ƒ(x))³ – 3(f(x))² + 4f(x) + 5x + 3sin x + 4cos x V x…

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Q: A function y=f(x) is represented parametrically as follo- x = o(t) = t-5t³ - 20t+7 y = y(t) = 4t³ -…

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Q: Suppose sn and tn are sequences such that |sn| ≤ tn for all n and lim tn = 0. Prove that lim sn = 0.

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Q: The inverse Laplace transform of 9s² + 76s + 320 (s + 4) (s² + 4s + 40)

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Q: Problem 1 Solve the following linear programming problem: Minimize Z = subject to 2x₁ +9x₂ 2x₁ X₁…

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Q: if the tangent tangent (x117₁) to the conve of the curve again in (22, 8₂) them proustait me x 1 20…

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Q: Which one of the following is NOT equivalent to pq? A. (~pVq) ^ (pV ~ q) B. (~pVq) ^ (q→ p) C.…

A: The truth table of some of the standard statement is  p q p∨q p∧q p→q p↔q ~p     T T T T T T F…

Q: Show that the greatest volume of the cyl- inscribed in a right circular cone of height 4

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Q: - 36 (s — 6)³ - where b, c and w are constants and t represents time. The inverse Laplace transform…

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Q: 0(x) = (x) log x T(x)= = - 0(x) log x T(t) dt t 0(t) tlog² t + S₁ -dt. and,

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Q: (a) Show that for each complex number z ‡ 1, (b) Show that (c) Show that η n Στ k=0 Text Σcos(k0)…

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Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

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Q: 7. (Solve a simpler case or similar problem then look for a pattern) Find the last digit of the sum…

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Q: Given that the Laplace transform of f(t) is S -7 877 s² + 7 F(s) = then the Laplace transform of…

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Q: By using the Bisection method to find the root (only one root) of the function: f(x) = 8x3 – 18x2 +…

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

Q: Let f(x)=x²-3x²+6Vxe R and g(x) = max. f(t); x+1≤t≤x+2,-3≤.

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Q: 26.2 Theorem Let H be a Hilbert space and A € BL(H). (a) Let A be self-adjoint. Then ||A|| =…

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Q: An urn contains five balls numbered 1, 2, 2, 8, and 8. If a person selects a set of three balls at…

A: Given an urn contains five balls numbered 1, 2, 2, 8,and 8. X 1 2 8 PX 15 25 25 The expected…

Q: Prove or disprove: ne N. If lim xn exists. Let m≥ 2, and let n, Yn E Rm for all 0 and lim(n yn)…

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Q: Minimizing Production Costs The total monthly cost (in dollars) incurred by Cannon Precision…

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Q: Mean = 63.6 PDF = 45 SD = 18.8 Find the Chebyshev’s inequality

A: Chebyshev's Inequality: If X is a random variable with mean μ and variance σ2, then for any positive…

Q: Prove or disprove: Vm, n = R, (m) (n) = mn.

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Q: Given the equations: -1.5x1 - 4x2 - 2×3 + X4 + 6×5 = -23.53775 4x16x2 - X3 + 1.5x4 - 2.5×5= 34.23375…

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Q: Using Polya’s strategy: How many different rectangles with an area of one-hundred twenty (120)…

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Q: By transforming to principal axes, reduce the quadratic form x' Ax for 2 2 1 A = 25 2 1 2 2 to a sum…

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Q: Find the vehicle payment under the following conditions: A loan of $19,000.00 at 4.7% compounded…

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Q: A piece of cardboard is 2.8 times as long as it is wide. It is to be made into a box with an open…

A: Since you have asked a question with multiple sub parts we will solve the first three sub parts for…

Q: Consider the hyperbolic functions, and their inverses, as real functions of a real variable. (a)…

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Q: ow is in the form of a rectangle surmounted by a semicircular opening. The total perimeter of the…

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Q: In cartesian product, prove that (A-B)XC=(AXC)-(BXC) A,B,C are sets

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