m. n. Sex: [ tan³ x dx ex sec³ ex dx

Q: QUESTION 3 Let A={1, 2, 3, 4) and B=(-1, 0, 2, 4, 5), and R = {(1,0), (1,2), (3, 1), (4,4)). Then R…

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Q: 1. Determine the convergence of the following sequences. C. 2n+5 2n 3n

A: I have given the answer in the next step. Hope you understand that

Q: Find the interval of convergence of the series (-2)*¹*¹ (x − 1)* 4* (k+1) k=1

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Q: Let H = Span{u₁,₂,U3} and K= Span {V₁ V₂ V3}, where each vector is defined below. Find bases for H,…

A: We have given that ,  H = Spanu1 , u2 , u3  , K = Spanv1 , v2 , v3 Here , u1 = 240-2 , u2 = 04-22 ,…

Q: 5. x=4-s+t Find a vector perpendicular to the plane = y = 1+ s-t (z=1+s+t b) [5, 5, 0] a) [1, -3,…

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Q: Activity 2: You are working on another electronic system that produces a voltage (v) as a function…

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Q: The table of values represents a continuous function. Which type of function describes g(x)? O…

A: The given table of values are given. Identify what type of function represents the given function…

Q: Let line L: x = 2t, y = 0, z = 3, and let line M: x = 0, y = 8 + s, z = 7+s, for some constants t…

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Q: 1. Let A, B abd C be sets. Prove that Au (B-C) = (AUB) - (C-A).

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Q: 4. The dimension of space of all 7-by-7 skew-symmetric real matrices has a dimension (a) 28 (b) 21…

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Q: Determine the intervals on which f(x) is positive and on which f(x) is negative. swer:…

A: If the graph of f(x) lies above the x axis for the values of a<x<b, then, f(x)>0 for…

Q: 5. The linear least squares approximation which best fits the curve y= |x | over the interval -1 ≤x≤…

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Q: 3. Change the order of integration sin dydx. Hence, evaluate the integral. y

A: Sol ∫0π∫xπsinyydydxChange order of integration =∫0π∫0ysinyydxdy

Q: Plot the following and their normal vectors. |2x -2y + 2z = 15 3x - 3y + 3z = -13 Describe the…

A: Normal to the plane ax + by + cz =d is n→=a,b,c As angle between planes as angle between there…

Q: Problem 5. Find the Jordan canonical form of the following two matrices: 01 1 0 1 0 1 1 00 00111…

A: 5 Consider the given matrix A=0110100111000000000000000. We have to find the Jordan canonical form…

Q: A student club holds a meeting. The domain is the set of all members of the club. M(a) denotes…

A: Since  you have posted a multi subparts question according to guildlines I will solve first  three…

Q: (a.V)a= Va²-ax (Vxa)

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Q: Write a dual program such as LP below:

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Q: Let R be the relation on N defined by R = {(n, m) EN x N: m=n+1). Then R is surjective. True False

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Q: Solve each problem by using composite functions. Be sure to show all work.  A manufacturer sells a…

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Q: 3. For nx n matrix A. define R₁ = one of the Gerschgorin's disks {z: True False "=1,i+j laij 1, then…

A: Please see the attachment

Q: A thin plate of constant density k, bounded by the parabola y=3x² and the line y=3 has a mass 4k.…

A: If mass of a region R bounded between y=f(x) and y=g(x) from x=a  to x=b  Then there two moments,…

Q: ) A car is traveling north on a highway for 4 hours. After those 4 hours, the car has traveled 200…

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Q: Owen was constructing a uniquely shaped bird feeder for his Mom for Mother's Day. The bird feeder…

A: The bird feeder has a cylindrical-shaped bottom and a hemispherical-shaped dome. The volume of a…

Q: For items 5-6, find the ff. Laplace transforms. 5. {t³e-4t}

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Q: 00 Let A and B be sets. Then A x B=BX A. True False

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Q: EXERCISE 1. For the following ODE system find ALL its equilibrium points and find their stability…

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Q: 3- If f(x) = k is the probability density function for a random variable that can take on the values…

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Q: function f(x) = x as OLX 22 Expand the cosine series in sine series in 0 2x 42.

A: Here given that f(x)=x. We expand f(x) as cosine and sine series in 0<x<2.

Q: A) Compute F.dà using the Divergence Theorem. SHOW WORK. S B) Compute the flux of F out S, which is…

A: Given that S is the outward oriented closed cylinder  x2+y2=9, 0≤z≤2 and  F→=xi^+yj^+2zk^ Solution…

Q: Determine the partial fraction expansion for the rational function below (S-1) (²-1)

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Q: Use a numerical solver to obtalin a numerical solution curve for the given initial-value problem.…

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Q: #m #2 15.37 at infinity. (2-a)(z-b)(z-c) Find the residue of TOP

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Q: Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a)=…

A: We have to find the solution x(t) using the method of variation of parameters.

Q: E increasing (c) Determine the open intervals on which f is increasing, decreasing, or constant.…

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Q: n 3. For nx n matrix A. define R₁ = -1,i+j laij 1, then each eigenvalue of A is either in one of the…

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Q: Consider the Riccatti equation v'=v2-(7/x)v+8/x2 a) use the substitution v=-y'/y

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Given that L{cos bt}(s) = S use the translation property to compute Leat cos bt}. s² + b²,

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Q: 5.) You can use technology for this problem, keep calculations accurate to at least 10 decimal…

A: Given differential equation is y' = x2y,   y0=1,  h=0.1 Take   fx, y= x2y  then y' =f x, y initial…

Q: 7. The quadratic spline interpolating (-1, 0), (0, 1) and (1, 3) is Qo(x) = 1 + 2x + x², Q₁(x) = 2x…

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Q: Q/find the Domain and the range. ofthe function f(x) = _5X х2 -3х+4

A: We have Fx=5xx2-3x+4 Now, we factor the denominator. We have x2-3x+4 The solution of ax2+bx+c=0 is…

Q: Determine the partial fraction expansion for the rational function below. - 19s + 75 (s+5) (s² +9) -…

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Q: 5. Consider the sets A = 0 and B = {0} and C= {1,0}. Find each of the following sets, if it is…

A: The given sets are                       A=ϕ and B=ϕ and C=1,ϕ. Here the set A is the empty set,…

Q: When using Runge-Kutta method of order 4 to solve the initial-value problem: j=-4, 15t < 2, y(1) =…

A: For a differential equation of the form: y'=f(x, y), the Runge-Kutta 4 method uses the following…

Q: How many rows of A contain a pivot position? Does the equation Ax = b have a solution for each b in…

A: Given matrix is A=24−90−2−2440−615−12201−9. First of all reduce the given matrix A into echelon form…

Q: Given the following initial-value problem: dy dt di² y(1.5)=1. y'(1.5)=1. Determine numerically the…

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Q: - 15. The Newton forward-difference formula is used to approximate f (0.3) given the following data.…

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Q: Find an equation of the line in parametric form that passes through the vertex of the paraboloid…

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Q: For the following initial-value problem: ý=y+t²,1 ≤ t ≤ 3, y(1) = 2, h = 0.25, the method cannot be…

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Q: Find the L{F(t)} where: F(t) = t = t-4 t-8 -2 = 06

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