Compute the discriminant. A- 6 Q sin (a) 8 00 CZ

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A: Here we use method of undetermined coefficient to solve given equation.

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A: The given problem is to find the equation of tangent lines at the poles of r=3cos(2 theta).

Q: (18) Use Euler's method to compute two points: (x1, y₁) and (x2, y2) that approximate the solution…

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Q: 7.1.8. Explain why the eigenvalues of A*A and AA* are real and nonneg- ative for every A Cmxn. Hint:…

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Q: Problem #1: Q(x) = 99x²-23x2-23x3 +30x1x2 + 30x1x3-50x2x3. Find a unit vector x in R3 whose first…

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Q: Diagonalize the matrix, if possible. Enter "DNE" (without quotes) in each of the answerboxes if the…

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Q: 3. Suppose that p is a nonzero continuous operator such that p is Hermitian (i.e. p* = p). (a) Show…

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Q: (5) Determine the degree of the Maclaurin polynomial required to approximate the value of the…

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A: The slope of the cone is L

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Q: Using the inner product (,): R² × R² → R, calculate ([2₂] [2₂]) = [₁ ²][8][9] V2 V2 9 3 ([G][B]) -5…

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Q: Suppose that g is a function of two independent variables that has continuous partial derivatives,…

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Q: Prove that the inner derivations ad x, x∈g are an ideal on Der(g)

A: Prove that : The inner derivative adx , x∈g are an ideal on Der(g).

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Q: If (x + iy)³ = u + iv, then show that И V ---- + w y = (x² - y²).

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Q: Match the differential equations with their corresponding slope fields. Include a sente or two…

A: Given differential equations are: 1) dydt=y2 2) dydt=t2 3) dydt=-y 4) dydt=t-y We have to match the…

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Q: 22 Write the number (√3+ i) in the form x + iy.

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A: Given: F→x,y=lny+1-1-2x+12, xy+1+1y2+1 C is the portion of the parabola y=-x2+1 from 1,0 to 0,1.…

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Q: 210 120 004 vectors of A. Show these eigenvectors are orthogonal to each other. 6. If A = find…

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Q: Find an equation of the tangent plane at the given point. g(x, y) = exly, (6, 1) (Express numbers in…

A: The given function gx, y=exy. We have to find the equation of the tangent plane at the point 6, 1.

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Q: Problem 4. know about ∞ (2) Στη 3η Cn n=0 If the power series Cn an has radius of convergence 3,…

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Q: V5    Use the Laplace transform to solve:   y′′ − 2y′ + y = t2δ(t − 3)   y(0) = 0

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Q: Consider the function yx y² + x² if (x, y) = (0, 0) if (x, y) = (0,0) Compute the partial…

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Q: 4. Write y as the sum of two orthogonal vectors, y, in L and y₁ in L Let y = YL = 1 and u = 2 7 Let…

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Q: Find the range of real number oz for which the equation z+02-1+2i = 0 has a solution.

A: Range for a real number

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Q: Suppose three tests are administered to a random sample of college students. Let X₁,..., Xy be…

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Q: The temperature ne-dimensional distribution u(t) along a wire of length L is governed by th heat…

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