16 e).y" + 2y = 48(t – 2n) ; y(0) = 3 and y' (0) = 0 %3D

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Q: Given a surjective function ? ∶ [−1, 1] → [−1, 1], prove or disprove: ? −1 (? {0}) = {0}.

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Q: Describe the graph of the equation: r = 4ri – 8j + (1 + 2t)k. [Choose the correct answer.]

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Q: Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are 11 = 2, 12 = -1, and 13 = -4. If V1 =…

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A: Solution: Given that

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Q: Suppose S and T are balls with the same center. Show that one of them must be a subset of the other.

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Q: f) justify your conclusion) Coordinates of any points of inflection (State all points that you…

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Q: 5. Find the area of the given D bounded by y = x³, y = x³ + 1, x = 0 and x = 1. Sketch the graph.…

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Q: On his 6 Algebra tests, Omar received the following scores: 82, 44, 92, 86, 77 & 82. Find the mean,…

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Q: In(]æ| – 1) lim %3D (cos(x))=

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Q: 11. Describe, in words, the transforming effect of the matrix representation of the linear…

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Q: 3. a, =a,,+4", for each integer k21, a, =3 30

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Q: Find the particular solution for the following differential equation xy' = y+4x° cos? (2. (2) = 0

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Q: If m^3 divides v^2, then m divides v

A: Let, m3 divides v2        now, m2 divides m3 and m3 divides v2        => m2 divides v2…

Q: -5 Let M = 5 . Find cj and c2 such that 3 M² + c, M + c2I, = 0, where I2 is the identity 2 ×2…

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Q: Evaluate xy dx + (x+ y)dy along the.curve y = 4x from (- 3,36) to (- 2,16). C xy dx + (x + y)dy =] C…

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Q: Find a power series representation for the function. f(x) = x³ tan-1(x³) %3D 8. f(x) = Σ %3D…

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Q: 19U - 6)(1 - 15)2 What are the possible dimensions for eigenspaces of A? (dimension is denoted as D)…

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Q: 5. Sketch a graph of the function f(x) = 3 log(2x – 2) +4. Identify the key features. a) domain and…

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Q: The matrix A is a real symmetric 5 × 5 matrix with eigenvalues 2, 6, 11, 14, and 19. The vector æ1…

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Q: intervals on which f is concave up (down). Then

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A: This question related to group theory . Solution is given below.

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Q: x²+2 dx x+1

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Q: 5) Let f be a function of multiplicity 5 at p.Then at P, µ(x) = has multiplicity f'(x) f (x) A 4 B1…

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Q: Find the characteristic polynomial of the matrix 3 -2 A = 4 -3 2 4 p(x) =

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Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x) = -3(x+6)²…

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Q: B. Jse Gauss-Jordan method to solve the following simultaneous equations: K+3X2=2X, K2-3X+X=8…

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Q: 6. Find the quotient and remainder of the following divisions (2x* – 2r² –1)= (2x³ – x-1) b. (x³ +…

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Q: SorvE THモ CONGROEモNしE 626 X Rエ mod5

A: As 5 is an odd number, by fermat's theorem, we have             x5-1 = 1 (mod 5)           =&gt; x4…

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