Using divisibility rules encircle the numbers whose fact are the given number before each item. 3 1)27 133 784 24 786 eo IIV 6 2) 766 558 34 157 6 3) 961 594 4 728 1 080 5 030

Q: Estimate 3x + x² using Mid-point method (n=6), then find the error estimate.

A: Given integral is ∫143x+x2dx. We have to estimate the given integral by using Mid-point method.…

Q: Find the volume of the region bounded above by the elliptical paraboloid z = 6 - 2x² - 2y² and below…

A: We will use limits of x,y,z to create a triple integral to represent volume and then solve it

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Q: Let a(t) represent the number of tumor cells at time t (with exponential grow factor a > 0), and…

A: As per the question we are given a nonlinear optimization problem. And we have to find the optimal…

Q: The real part of csch(1 + j2) is _____.

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Q: Calculate the integral approximations T4 and M4 for fr5 dx. Your answers must be accurate to 8…

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Q: P-6 Solve the Wave equation subject to the given condition u(0, t) = 0, u(L, t) = 0, t>0 ди u(x, 0)…

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Q: A. Solve the following matrices using the following methods (a) matrix method, (b) determinant…

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

Q: Write an iterated integral for JJdA over the region R described to the right using R a. vertical…

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Q: Graph the function f(x) = 2 (3)*+¹ on the axes below. You must plot the asymptote and any two points…

A: The vertical asymptote of the function is the line x=L,The value of function is not defined that is…

Q: The following sequence n² n³ -- ~ √ (₁ + 3)" an = 1+ 1 converges to e the above Onone of the choices…

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Q: Verify that the given function is harmonic and find its conjugate harmonic function.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: If M is an upper triangular matrix with integer entries then its eige Select one: O True

A: Introduction: A triangular matrix is a square matrix with all zeros below and/or above the diagonal.…

Q: The degree of precision of the quadrature formula Q[f] given by f(x) dx = Q[f] =1²f (²) - ƒ) +²1 is:

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Q: V = M2x2 (R) let M = { A€ V A = A²} N = { A = V A = -A ² } Subset of the vector space V V = MON…

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Q: The natural numbers are l PEN N={1,2,3,...). The prime numbers are P= {2,3,5,7...}. True or false?…

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Q: Give a direct proof: Ifx is even, then x³ + x + 1 is odd. (Use the definitions of even and odd, and…

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Q: Consider this nonlinear dynamical system da = 2x - x² - xy, dt dy = xy - Y dt a) Find the…

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Q: Using the values given in Exercises 1 and 2, verify that b f*f* f(x, y) dy dx = f*f*f(x, y) dx dy. 1…

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Q: 8² S (S) S C

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Q: Suppose graph G is simple, connected, and has the degree sequence 5, 3, 2, 2, 1, 1. 10. a) Can G…

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Q: Let L be the line given by the span of A basis for Lis 6 in R³. Find a basis for the orthogonal…

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Q: Solve each system + y +2= y +14: x + 2y x a) (3x 11 non 11 6 = -5 (2x + b) 3x + y +2: = 3y + " 11 17…

A: We need to solve the system of equations given in part a) and b) We will use elimination method to…

Q: (b)First Forward, Evaluate the derivative of the given equation (a) Analytical Backward and Central…

A: Solution : y=f(x)=sin(0.5x)x a) f'(x)=xcos0.5x-4sin(0.5x)4x2 f'(1)=-0.26 b)  Using Forward…

Q: Show all necessary condition. Determine whether the given function is a solution to the differential…

A: 3 Given differential equation is xy'−3y=x3......1 and y1=8. We have to find the general solution of…

Q: (b) Find the general solution of the given system: = = 6x - y 5x + 2y

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Q: Find S Ĵ 5+1 5³ +95³²+265 +24

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Q: 5 and cosy = 13 2) Angles x and y are located in the first quadrant such that sinx = Determine an…

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Q: Evaluate the double integral over the given region R. xy² SS= dA 2 X + 1 R R: 0≤y≤6, 0≤x≤1

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Q: What is the surface area? 5 ft 5 ft 6 ft square feet 6 ft

A: The portion on the bottom is of length 6 ft and wide 6 ft. So the area of that portion is 6×6=36…

Q: 7. Prove by induction, showing all of your algebra steps: 2.2¹ +3.22 +4.2³ +...+(n+1)2 = n. 2+1 for…

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Q: Question 2: (a) Insert 4 arithmetic means between 1 and 15. (b) Insert 5 geometric means between 3…

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Q: Using the Euler method, obtain the value of y(2) with

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Q: ind the e₁ cla dence e₂

A: Given: Graph with 4 vertices and 4 edges. To find: Incidence matrix

Q: 1. Find the eigenvalues and eigenvectors for each of the following matrices. 5 -3 (a) 2 3-2 (b) 0 0…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: V = M ₂x2 (IR) let M = { A€ V A = A} N = {A = V A = - A^²} Subset of the vector space V The answer V…

A: To prove  V=M⊕N we need to prove  (i) V=M+N and  (ii) M∩N=0

Q: 5.84 6. V (AXB)=B-(VxA)-A (V x B)

A: To find the given product :-

Q: *k) 1- (sinº x+cos x) = 3sin² x cos²x ove this identity please.

A: In this question, the given trigonometric identity is proved. Trigonometric Identities The…

Q: Express e(1/2-6) in the form a + bj.

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Q: pro Determine whether each of the following NLP's is a convel (f) May 62 X, +123 X₂ In (x₁) + In…

A: As per the question we are given an nonlinear optimization problem. And we have to find whether the…

Q: V1 V3 V2 V4 a) Find the adjacency matrix A for the directed graph shown. b) Compute A³. What do the…

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Q: Year Global plastic production (tonnes-year¯¹) 1975 46,000,000 1978 64,000,000 1981 72,000,000 1984…

A: As per the question we are given a data table and we have to find the best-fit exponential curve for…

Q: Using Limit Comparison Test (LCT) the following series +∞ n2 + 3 Σ; ηνησ + 5 n=1 test is…

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Q: 7. Based on the diagram below, find the input string for the output string 011001.(Instruction:…

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Q: (d) Show that for all integers n > 1 S(n, 1) = 1 = S(n,n), then, using the above relation (or…

A: Solution : Stirling number S, defined by, S(n,k)=1k!∑i=0k-1ikik-in d) S(n,1)=1 Only one way to put n…

Q: 1. Consider the system X(t) = AX(t) where A = ( a) - (1) ª and a a constant. (a) For which values of…

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Q: 3₁3245 + 211 5 2 5

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Q: A linear programming formulation is below. Maximize 120T + 80C Subject to: 3T + 2C ≤ 200 2T + 2C…

A: to maximize 120T+80C constraints: 3T + 2C ≤ 200 2T + 2C ≤ 180 , ⇒T+C≤90T + C ≤ 40 -2T + C ≥ 0 -6T +…

Q: Find area inside 3 3 cose and outside r = 3

A: This is a problem of area under polar curves.