Use Gaussian Quadrature with 2 steps (n=2) to approximate -5 0.2 dx, xe' which of the following is the best possible error?

Q: Short answer question. No justification is required. a) How many 3-digit positive integers are there…

A: a) We have to find number of 3 digit positive integers  with odd digits  Clearly there are 5 odd…

Q: Which of the following graphs have hamiltonian circuits? R VA OB I R K L OC OD

A: We will use definition of Hamiltonian circuit to answer the given question. A 'Hamiltonian circuit'…

Q: 2. The seats in a theater are arranged in thirty-one rows. Forty seats in the first row, forty-two…

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Q: 30. Let S= {1,2,3} and let R be an equivalence relation on S. (a) Describe the R with the fewest…

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Q: The graph of f(x) is given below. On what interval(s) is the value of the derivative f'(x) positive?…

A: Given that a graph We have to find derivative of f(x) is positive.

Q: the inverse operation of S54 is a) C51 b) C54 c) S51 d) S54

A: To find The inverse operation of S54.

Q: aclaurin series, ollowing infinit-

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Q: 1. The sum of the digits of a 2-digit number is 10. If the number is divided by the units digit, the…

A: (1) Let the tens and units place digit of the 2-digit number be x and y. Then the 2-digit number is…

Q: x In x at 0 < x < 1 1-x Show that the function f () at x = 0 is integrable on the interval 0, 1]. -1…

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Q: Find all solutions to cosh z = i sinh z.

A: To find all the solutions of the below equation. coshz=isinhz

Q: On what region of the xy-plane does the differential equation would have a unique solution wi…

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Q: Match the solution curve with one of the differential equations. O y" - 2y' – 3y = 0 y" + 2y' + y =…

A: Given: The solution curve,   To match: The given solution curve with one of the differential…

Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z =-13. Find the following. 1. The cosine of the…

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

Q: Rung-kutta method yl=y Luse to Solve

A: To solve the given differential equation by Runge Kutta Method first we will find the values of k1,…

Q: 4. h(x) = x-T at X %3D 2. 5h(X) = x + x4-1 at X = %3D

A: Continuous function at x=a

Q: Use the Integral Test to determine whether the infinite series is convergent. Σ -- n n=1 Fill in the…

A: Given series is ∑n=1∞n-9

Q: Using initial estimates for the solution to be {0,0,0}, what is the solution to the system 5x, – 2x,…

A: To easy understand let x1 = a, x2 = b, x3 = c The given equations are 5a-2b+3c=-1-3a+9b+c=22a-b-7c=3

Q: b) Determine the value of the fund in year 2007. A(Ctrl) -

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: -3 Are the vectors -3 1 and linearly independent? -6 3 3 Choose If they are linearly dependent, find…

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Q: cos r+ 2. Let g(x) Approximate the value of g(0.2) using the second degree Maclaurin polynomial of…

A: Given that, the function is gx=ecosx+x. Note that, the formula for Maclurin series is…

Q: y 2л 3 3 1 4 (a) Find the amplitude, period, and phase shift. amplitude period phase shift (b) Write…

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Q: Use the given figure to find the following sets? A U B ВПС С - А A - B 2 A B 4 P. (В - С) U A (СП В)…

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Q: Find the coordinates of Maximum, Minimum and Inflection połnts for the given function. Show all…

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Q: Write T as a matrix transformation.

A: Given, T is a linear transformation such that                 T2-2=12-2,   T-6-5=850

Q: 5 3 -9 alue of 2 3 92 If so, find one corresponding eigenve 0 1 7. I choice below and, if necessary,…

A: Introduction: Eigenvalues are a subset of scalar values associated with a set of linear equations,…

Q: ind the shortest distance from Q to U in the network below. 7 8 S Q U esponng 6 7 The alues X V 13…

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Q: Find the interval of convergence of the series 1, if n is even, f(z) = Cna", where Cn = %3D 2, if n…

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Q: State the value(s) of k such that the following system of linear Cquations has infinitely many…

A: The given system of linear equations…

Q: Use trial-and-error to determine the smallest integer n for which the given statement is true. 6n <…

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

Q: iven by 5x3 at x = 1 is: %3D

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Q: A OCrermine if the ff. are continuous at a given value bf x 1FCX) = 3X† +2x +| at x=-2 %3D 2. F(X)=…

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Q: Show that \sin{(3x)} = 3\sin{(x)} - 4\sin^{3}{(x)}\text{.} You will need to use five expressions in…

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Q: Q6 |(a) Using the Euclidean algorithm, find a particular solution of the linear Diophantine equation…

A: We have given a Diophantine equation ,  16x + 21y = 64 Compare it with , ax + by = c We will get , a…

Q: Give the order of the given ordinary differential equation and state the type linear or nonlinear…

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Q: Consider the following system of two species x(t) and y(t): da 0.3x – 0.001cy dt dy = 0.6y – 0.004xy…

A: Given that  (dx)/(dt) = 0.3x - 0.001xy (dy)/(dt) = 0.6y - 0.004xy x(0) = 30 y(0) = 70 We have to…

Q: P) use a power Series to approslnete tue Value of the integral 4 e doc with en e mor of less fren…

A: We will use power series of ex ex=∑n=0∞xnn! Let   ∑n=0∞anbe a series satisfying all of the…

Q: e) How many 23 bit strings have exactly one 1?

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Q: find the taylor polynomial of the nth degree( n=3) and x=0. then find the error estimate for the…

A: The Taylor polynomial of degree n of the function f about x=a is:…

Q: Graph (either by hand or desmos) the polar curves r = 2 and r = 4 − 4 sin θ. Use a double integral…

A: To find the area inside the circle but outside of the cardioid. r=2r=4−4sinθ

Q: Rung-kutta thad to solve use me hors

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Q: If f(x)= x – 4 and g(x)= Vx – 2; | f which of the following is equal to (x)?

A: Rational function value

Q: The Plat circular plate has the shape af the region x+y<1. The plate including the boundary H.w…

A: Given: The circular has the boundary region x2 + y2 = 1 The function of the temperature is T (x, y)…

Q: Let f(x, y) = 3y – x² y² + 8y² + 4x² – 20y, then f has: | Select one: a. Three saddle points. b.…

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Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi – 2xzj + yzk; (9, -9, 7)

A: The curl of a vector field F is defined as  ∇×F=i^j^k^∂∂x∂∂y∂∂zf1f2f3

Q: 1. Which of the following is an integral representation of the gamma function? dx r(x) = x - 1)1 dx…

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Q: euse Euler methed to Sw lve y'= x+3y nez

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Q: - the region 1, x = 0, y = %3D

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Q: Q2. Let V = {(a, b, c, d) : b + 2c + d = 0} and W = {(a,b, c, d) : a + 2b = 0, c = 5d} be two…

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Q: d) Let X,Y, Z be sets. Calculate |XUYUZ if |X| = 50, [Y|= 90, |Z| = 71, |XnY| = 8, |Xn Z| = 9, |Yn…

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Q: State whether the following numbers are rational or irrational. a) V4+7/2 b) 36 c) V11²510716 State…

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