m = 0 (²) 2 \m 2m X

Q: Diagonalize the following 3x3 matrix. [ {3,3,3},{3,3,3},{3,3,3}]

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Q: If V is a vectorial space over R with inner product. Show that u Iv u,νεν, λε |||u + 2.v|| ≥ ||u||

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Q: Determine the are any, and locate any saddle points. a. f (x, y) = xy + = ㅗ X 1 Y b. f (x, y) = x² =…

A: We use the necessary condition for the relative maxima and minima. fx=0 and fy=0

Q: 2. Find GCD and LCM of 162 using Prime Factorization. 256 and 3. Find GCD and LCM of 10! 103 using…

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Q: (a) What is the maximum dimension of the Column Space of B? (b) What is the maximum dimension of the…

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Q: Sketch a graph of the polynomial. Use the Rational Zeros Theorem to find the zeros of the…

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Q: The given set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal…

A: Given subspace 042, 55-5

Q: 11, 31. Find the flux of F = (x²y, xy, y²z³) across the cube bounded by the planes x = y = ±1, z =…

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Q: Suppose that 10 x (16 + x) = Σ Cnxh n=o Find Coefficients: Co= C₁ = C2= C3= C4 = Radiance of…

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Q: Let p (> 0) be the first of the n arithmetic means betw numbers and q (>0) the first of n harmonic…

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Q: 3. Let V = R[x]4 (polynomials of degree at most 4). Let T: V → V be the linear map given by T(ƒ) =…

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Q: 2 2 Find the least-squares solution of the system -6 k= 25 3 5 H -4 33 نا برا

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Q: If m is a positive integer and x > 1, then show that 1-4¹ (-1)" xm+1 m! 2 F₁ m+1 m+2 2 2 dxm

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Q: For what value of n, and b? an+1 +bn+1 a" +b" is the geometric mean of a

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Q: . A spring with a 3-kg mass is held stretched 0.6 m beyond its natural length by a force of 20 N. If…

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Q: Determine the dimensions of the least expen- sive cylindrical can that will hold 100 cubic inches if…

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Q: Find Singular Value Decomposition of A = 322 2 3

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Q: Construct an example of a subset B of p({a, b, c, d}) such that (B, C) is a totally ordered set.

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Q: Clare mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate. Han mixes 1 2/3 cups of…

A: Clare mixes 212 cups of water with 13 cup of orange juice concentrate. Han mixes 123 cups of water…

Q: manufacturer makes bags of popcorn and bags of potato chips. The average weight of a bag of popcorn…

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Q: 4ytt = yxx, 0 0; y(0, 1) y(x,0)=yt (x,0) = sinx y (л, t) 0,

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Q: ² + y² + z² x+y+z 7x+y+z > x*y³z² > x+y+z 3 7x+y+z

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Q: pairwise co-prime and m mmm Then f(x) = 0 (m) has a solution if each of the congruences f(x) = 0…

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Q: Determine whether the equation is exact. If it is exact, find the solution. (If the equation is not…

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Q: If a, b, c are in A.P., then prove that the following are also in A.P. (i) a²(b + c), b²(c + a),…

A: The given problem is to prove the given terms in A.P when the given a,b,c are in A.P.

Q: nd we are assuming k = 1.) " ia;2¹-1 1 ia,z¹-1 5 iaz¹-1= 1 i=1 1 1-0 i-0 9;x¹+1 9;x¹ dia1 - Σα…

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Q: Find the line integral of f(x,y,z) = x + y + z over the straight-line segment from (1,2,4) to (0,…

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Q: 7. Each function below describes how something changes. Use the descriptions to determine which…

A: Three functions f(t), g(t), and h(t) are given.  Our aim is to formulate these functions…

Q: Let Note: M = Find formulas for the entries of M", where n is a positive integer. (Your formulas…

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Q: Find the final amount of money in an account if $6,500 is deposited at 3% interest compounded…

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Q: Integrate the given function over the given surface. G(x,y,z) = 3z², over the hemisphere x² + y² +…

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Q: Define P(n) to be the assertion that: n n j= j=1 = (a) Verify that P(3) is true. (b) Express P(k).…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find the distance between and angle between the two vectors u = (-4, 0, 2, -2) and v= (2, 0, -1, 1)

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Q: 1. Ytt = 4yxx, 0 0; y(0,1)= y(л,t) = 0, y(x,0) = sin 2x, yt (x, 0) = 0 10

A: Since there are two questions, therefore find the solution of the first question.

Q: Solve the following differential equations: 1. y(lnx - In y) dx = (x ln x - x ln y - y) dy

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Q: Consider the system of differential equations xi(t) = 3x₁ (t) + 2x2(t) x₂ (t) = x1(t) + x₂(t) + e²t…

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Q: Use the method of Lagrange multipliers to find the points on the sphere x² + y² + z² = 36 that are…

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Q: 3. Evaluate the following integral. Show complete solution. rtoo Sta e drdy (شرعی)

A: The given problem is to evaluate the multivariate double integral of exp(-(x2+y2)/2) over the given…

Q: 1. Show that the functions sin x, sin 2x, sin 3x, . . . are orthogonal on the interval (0,7) with…

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Q: 1+x₂+...+x. Prove that ₁) (1 + x₂)... (1+x₂) ≤1+S+ S² S3 +++ Sn

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Q: A ball is dropped from the height of 120 metres. After striking 4 a floor, the ball rebounds - th of…

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Q: Let f(x) = 3 + cos (5 x) where 0 < x < 2π. Next we do a Fourier series expansion of f(x). The…

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Q: e Euler's Method to find approximate values of the solution of the given initial value problem at =…

A: Given initial value problem is: y'=-ty+0.4y3,  y0=1.0. Using Euler's Method We have to find the…

Q: Problem 4. Suppose U is a subspace of V such that V/U is finite dimensional. Prove that Ux (V/U) is…

A: Given: U is a subspace of V such that V/U is finite-dimensional. We have to prove that U×V/U is…

Q: 1. Consider the curve in parametric form x(t) = t³ - 3t a) Find the point(s) where the tangent line…

A: According to the guidelines, only three subpart can be answered. Please repost other question…

Q: The graph of h(x) = - -6 -5 -4 -3 3 15³ ( - 12/3 -x + 9 2) a 4 Use the limit definition of the…

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Q: The table below shows the calories, fat, and carbohydrates per ounce for three brands of cereal, and…

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Q: Over the time interval 1 ≤ t ≤ 6, a particle moves along a straight line with a velocity of v(t) = 8…

A: Given:The particle moves along a straight line with velocity: vt=8t-4  m/s; 1≤t≤6.The positive value…

Q: Using exactly four fours, any of the operations + - X÷ and brackets if required, can yo make an…

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Q: Domain:[-3,0) U (0, 1) U {3U (, ∞0) Range: [-6, -3) U (-3,-2) U{-1U (1, ∞)

A: simplify what it means after the third U in both answers . like write it in another way...