U = 11. mi + 2루= (a) m

Q: Use ratio test to determine the convergence of the series

A: we see that the series is given by ∑r=1∞ 2r (r !) 2   suppose it is of the form ∑r=1∞ar=∑r=1∞ 2r (r…

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Q: Answer: a) The 2/3 super majority method is not decisive because a winner cannot be guaranteed…

A: Answers:- a)The 2/3 super majority method is not decisive because a winner cannot be guaranteed…

Q: 2. Maximize z = 2x₁ - 1x₂ + 3x3 Subject to: 1x₁ - 5x₂ + x₂ ≤ 10 - - 2x₁ − 1x₂ − 1x₂ + ≤ 40 X₁, X₂,…

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Q: show that the vectors: 2,3), II

A: To prove that the vectors:     v1=(1, 2, 3), v2=(-2, 1, 1), and v3=8, 6, 10 in ℝ3  are linear…

Q: Find the shortest distance from the point (2,1) to the curve y = 1+√x.

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Q: 11. Find the equation of the curve which passes through (0, 2) and has a slope of 2 if y" = 2. y =…

A: 11. Given that the curve passes through 0, 2 and has a slope of 2 if y''=2.

Q: 5. Use the graph of y = f(x) below to determine which of the following is true when x = 4? 4 3 2 1…

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Q: The monthly payments on a 10-year loan of $25,000 at 6.1% interest are $278.81. (a) What is the…

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Q: Problem 1: Given f(t) = t³-t² + 1,where f(t) is the distance an object travels per second and…

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Q: ay Problem 3: Given = (x+y-1), y(0) = 1, defined over the interval [0, 3] with a step h-1. Answer…

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Q: Simpso (A) 587 (B) 400 8) Using three area segments between [0, 9], the estimated area under f(x)…

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Q: Rewrite the following equation. following as a single thy te Sin (f+g) + sin(f-g) Cos (fig) +…

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Q: Find two different combinations of the three vectors u = (1,3) and v = (2,7) and w = (1,5) that…

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Q: Consider the matrix A defined as [1/2 1/2 0 A = 1/2 1/2 0 0 0 1

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Q: (10-13) Solve the system of equations by Jacobi's iteration method at fourth iteration. 20X1 +…

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Q: The Dirac delta-function obeys for any function f(x). a) Prove that f(x)8(x − xo)dx = f(xo) – where…

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Q: Problem 2. For each of the following equations determine whether they are linear and if yes, how…

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Q: Find the area of the shaded region shown in the figure (which is not shown to scale).

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Q: Consider the operator Î=k, where k is a scalar, operating in a function space on the interval [a, b]…

A: a) To show that L^ is a linear operator, we need to show that it satisfies the following properties:…

Q: 1. Solve the following linear programming model using simplex method. Maximize Subject to: z = 3x₁ +…

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Q: The nth root of a number can be approximated by the recursive formula 1 A = ((n-1) R₁+ n (R₁)¹- R…

A: Given Data: The nth root of a number can be approximated by the recursive formula,…

Q: QUESTION 6 Find the sum of the first in terms of the series 1 34 Hence, find the infinite sum of the…

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Q: A druggist borrows $3000 from a bank to stock her drugstore. The interest rate is 4% compounded…

A: A druggist borrows $3000 from a bank to stock her drugstore. The interest rate is 4% compounded…

Q: Evaluate I = = Sc (z, x, y). dr and C is the helix of r(t) = (cost, sin t, 3t) sketch the

A: Answer given below.

Q: kindly solve it

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Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: Solve the initial-value problem xy = y + x² sin x, y Answer: y(x) = (7) 6 = 0.

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Q: On S = {3, 5, 7, 8, 9, 10, 12, 27, 30, 70} we work with the divisibility relation R: xRy ⇔ x divides…

A: S = { 3 , 5, 7, 8 , 9 , 10 , 12, 27 , 30 , 70 } The relation on S is x R y ⇋x divides y For a non…

Q: Find the monthly payment for the loan indicated. (Round your final answer to two decimal places. See…

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Q: Save & Exit Certify Lesson: 0:2 The Anthmetic of Algebraic Ex.... Question 4 of 16, Step 1 of 1…

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Q: It is easy to check that for any value of c, the function is solution of equation y(x) = ce-²ª + e¯ª…

A: The function y(x)=ce-2x+e-x. is solution of equation y'+2y=e-x Linear first order differential…

Q: How long will it take for a $3,482.00 loan to double in value at a 7.5% compounded monthly interest…

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Q: A solid of revolution is generated by rotating the region between the x-axis and the graphs of f(x)…

A: Given: The equation of the curve fx=2x+3 , x=7 , x=10 To Find: Using the disk method, evaluate the…

Q: The mean weight of five complete computer stations is 167.2 pounds. The weights of four of the…

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Q: 15) Using 4 order Rung-Kutta method, the value of K₂ needed to evaluate y(1) is (A) 0.75 (D) None…

A: (15)  Given differential equation is  dydx=x+y-1 ,    y0 = 1             Take h = 1 ,  fx,y=x+y-1,…

Q: Use the matrix inversion to confirm the following statements in R²: i. The inverse transformation…

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Q: Find the work done by the force field, F(x, y) = (e² — y³)i + (cos y − x³), on a particle that…

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Q: Express the result of the following calculation to the appropriate number of significant figures:…

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Q: Find the limit lim-0+ xlnx10

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Q: The hypotenuse of a right triangle has one end at the origin and one end on the curve y = = √√√x. X…

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Q: Maximize z = 20x₁ + 10x₂ + x3 Subject to: 3x₁ - 3x₂ + 5x3 ≤ 50 x₁ + x₂ ≤ 10 X₁-x₂ + 4x₂ ≤ 20 X₁, X₂,…

A: The given problem is a linear programming problem with a linear objective function and linear…

Q: 4. If x,y are nonzero orthogonal vector in X, then x,y) is linear independent.

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Q: example. the sta Dx(ex³ + 3x) = Dx(e+9). + 3D x(x) False, Dx is a linear transformation but does not…

A: A relation is called linear transformation if it preserves vector addition (or simply addition) and…

Q: The real roots of cos(x/6) + bx2 - cx = 0 if b = 0.5 and c = 2 can be determined using Fixed Point…

A: The given function is cosx6+bx2-cx=0. Given: b=0.5, c=2. To Find:  Solution after 7th iteration…

Q: Sketch and label a composite object with area x² - yz units.

A: Given that: Area of the composite object = x2 - yz units Let x be the side of an square Hence, as we…

Q: Find the feasible region of the system of inequalities. -x + 2y ≥ 3 2x + y 24 O ● No Solution Help…

A: -x+2y≥32x+y≥4

Q: 2-2. Compute the expressions of the first five Chebyshev polynomials of the first kind T2, T3, T4,…

A: The Chebyshev polynomials of the first kind are defined as:   T_0(x) = 1 T_1(x) = x T_n(x) =…

Q: The slope of the family of curves at any point (x, y) is equal to (x + 1)(x +2). Find the equation…

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Q: 30²) For A = {• t, 1} & B = {₁, 0, 83 & universum U= {0, oto, 1, 0, 7, 3 Find: A', B', AUB, AnB, AB,…

A: (i) Consider the universal set is U=∘,+,1,⋄,7,Ω, A=∘,+,1 and B=1,⋄,Ω. (ii) Given U=ℝ×ℝ=ℝ2, A=x,y|x≥1…