sin?n n (in n (In h = 2

Q: Sõ sin“ 3x cos 3x dx

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Q: equation of the line. -y+22-0 passing through cting line e:x=2+t,y=st,

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Q: 100 / Find the optimal solution of the following (T.P) by using Least-Cost method. 120 120 40 50 70…

A: Least-Cost Method:-

Q: 2. Find the area of the region bounded by x- y, x - -1, y = 2 and y = -1. 3. Find the area of the…

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Q: -4 0 A -4 %3D B = 2 -1 -1 2] 15 4 ]

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Q: (b) Find the basis for the col(A) and null(A) 4 5 2 1 30 1 3 2 2 1 A ||

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Q: Canter e dn= り。 f(x)= 5-3X

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Q: QUESTION 1 Consider the following LP model and its optimal solution: = 2X1 + 3X2 + 4X3 subject to…

A: given Problem Introducing Slack variables to convert problem in Canonical Form

Q: D.V S Sz SOL b1 5xi 1. b2 -1 7. Find value of b1 and b2 1 1)

A: The given table is   To find: b1 and b2.

Q: 1 g(x, y) = = cos (Tx/y) + %3D log3 (x – y)" Do as indicated. 1. Determine dydx

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

Q: Find the eigenvalues A1 < A2 and associated orthonormal eigenvectors of the symmetric matrix [3 0 1…

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Q: 2. a) Create a rational function p(x) such that it is always increasing for a > 0. q(x) Show that…

A: Consider the function fx=x-32x-3x. When reduced to the lowest terms, the function f can be rewritten…

Q: x = Acoswt + Bsinwt

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Q: Find the solution of the equation azz=e cos =e * cos y d hich tends to zero as x - 0o and has the…

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Q: Let R be a ring such that for each a e R there exists XE R such that a'x = a. Prove the following :…

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Q: 1. Decide which of the following hypercubes are Eulerian. Q1,Q2,Q3,Q4,Q5. 2. Genelarise the results…

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Q: Suppose 450 test scores are normally distributed with mean 73.7 and standard deviation 2.5. a. How…

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Q: kx²y? T = Z. ||

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Q: What is element a32 in 2A-3B if 01 B = |-2 -1 6 4] -4 0. 1 A = -1 31 2 -4 6 9. -1 1 21 8. 15

A: To find the element a32 in 2A-3B .

Q: 1. Find the Fourier Series coefficients representation of if -T < x < 0 f(x) TT – x if 0 < x< T…

A: Given data  f(x)=x           if   -π&lt;x&lt;0 π-x    if       0&lt;x&lt;π

Q: A graph of y = f(x) is shown and a c-value is given. Use the graph to find the following, whenever…

A: The given graph is     To find: (a) limx→c fx             (b) f(c).

Q: 13 A SolidS ccuples the volume bounded by the squdie region D( defined by O E sX L1,0 E E1), and…

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Q: a. The price of a jumper was reduced in a sale by. The new price was later reduced by . What…

A: Since you have posted multiparts question and we can answer three subparts. So,  answered the first…

Q: Q.1 A. It is given that the functions of x, f and g, satisfy the following coupled first order…

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Q: 1. The area above the x- M axis and below y = 4-x2 . The area above the x – axis and below y = 4x -…

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Q: a(t) = sech () tanh ()-ež. I t cle.

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Q: 1 1 1 0100 0120 00 0 Let A = Write A as C DC , where D is a diagonal matrix. Hint: You can always…

A: Given : matrix A=1110010001200000 We have to write A as CDC-1, where D is a diagonal matrix.

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z %3D subject to 2²…

A: Here the number of constraints is one that is g(x,y,z)=x^2+y+z^2-1=0, and the objective function is…

Q: For the following system: i2 = -12 Use the Lyapunov function V(x) = rỉ +r1r2 + to show that the…

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Q: 3. The table below shows the highest daily temperatures (in degrees Fahrenheit) averaged over the…

A: As per the question we are given a data table of the avarage monthly temperature (y1) over the…

Q: 5. Sketch the graph of a function f with domain [1, 5] satisfying all the following conditions:…

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Q: As of 2022, the Diamond and Flower Ferris Wheel is the world's 18th tallest giant observation wheel.…

A: We need to find equation of Ferris wheel in two way  in sine form . f(t) = a sin (bt+c) +d in cosine…

Q: Find the tangent plane to the equation z = 6e" -20 at the point (4, 8, 6)

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Q: 18. Show that Ein d(k)³ = (Ekin d(k))² for all positive intege m

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Q: Civen tz f(x,y) = J 36-9x=y

A: If the graph of z=f(x,y) is sliced by a plane: z=c, then the two dimensional cross-section obtained…

Q: Establish whether the following propositions are true or false. Provide a formal proof for just one…

A: a) True,   A convergent sequences in Rn is a Cauchy sequences.  Proof: Let(Xn) be a convergent…

Q: Suppose C=D0, so that 23 24y 5x3 = 0. Find all points (x,y) at which the tangent line to the…

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Q: Consider the vector field F(x, y, 2) = (2e²" cos(3y), –3e²" sin(3y) + y' a. Find divF(x, y, z) and…

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Q: D

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Q: The inverse of matrix A is given. A-1 = Use the inverse to solve for X. Ax - Li]

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Q: y" – 3y' – 10y = 8(t – 4), y(0) = 0,y'(0) = 0. %3D %3D

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Q: p'AP = 0 49] 01 0 50] 0] 0 50 0] 0 57. 0] 57 -7 p'AP = 49 p'AP = 49 p-'AP p'AP = 7

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Q: The following table presents the implementation of Dijkstra's algorithm on the evaluated graph G…

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Q: The following difference table is for f(x)=1/2 tan(x+1). Use to find f(0.07) from a fourth degree…

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Q: r(t)=(cost+t sint)i+(sint -t cost)j, a/2<15a. %3D

A: We have to find arc length of given function.

Q: 3. True or false? If a number is divisible by both 3 and 9, then is must be divisible by 27.

A: Solution

Q: Vz - 2 limz→4 Z - 4

A: To find: limz→4z-2z-4.

Q: c). i. Find the general solution to this homogeneous equation using the auxiliary equation method…

A: Given: y''-2y'+10y=0

Q: 1. -(p→ q) → (p a~q) 3. (-p v q) ^ [q→(~r^~p)

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Q: -1 lim,→-1 f(x) = O -1 O 2 -2 O Does not exist

A: