- Select the graph below that best represents f(2) = −2sin (2 (æ – 2 n)) – 2 Graph A Graph C -2 /-R + 10 2 -24 4 2 Af a) Graph A b) Graph D c) Graph B 2 x ३n An d) Graph C 47 Graph B Graph D -2 Al 11 -M 2 -2 -4 2 2 x 3x ग की 2n / 37 I

Q: 1. Area of the region outside the circle x² + y² = 4 but inside the ellipse (a) horizontal strips…

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Q: State and prove Euclid’s Lemma.(you may assume without proof that for integers x and y there exist…

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Q: 3) Consider the following matrix: A= 020 100 0 4 1 - 1 - 1 (i) Compute A™ ¹. (ii) Write A as a…

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Q: Question 4. The Fourier transform of f(t) is F(w) = 5e-3jw wj 8 4+ Using the Convolution Theorem,…

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Q: £.(+). for TS ts......... L 1 +² for of t.<I 2

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Q: Find the 100th derivative of the equation y = 99x⁹9⁹.

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Q: Prove that the Laplace Transform of sinkt and coskt are respectively k S and s²+k² s²+k²

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Q: Using the Fourier integral representation of the function a, x |k| we find = S TT JO where a=9,…

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Q: Find the volume of the tetrahedron bounded by x+y+z = 1 and the three Coordinate planes. 7 Ston

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Q: Solve each of the following congruences. Make sure that the number you enter is in the range [0,…

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Q: 12. Use the Extended Euclidean Algorithm to find the multiplicative inverse of 23 mod 111.

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Q: a) Find a monic polynomial in (Z/8Z) [x] with more distinct roots (in Z/8Z) than its degree. b) Find…

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Q: Determine the exact value of cos T + TT 3 6

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Q: Use the Laplace transform to solve the given initial-value problem. v = s(t − ½ n) + s(t – 2/2),…

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Q: £.(+).. 2 for TS t co for os t.<I 2 t

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: Laplace transform of a function f(t) is given by ,         Lf(t) = ∫0∞ e-st f(t)dt Then the Laplace…

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Q: The solid is bounded below by the upper nappe of a cone and above by a sphere . Would it be easier…

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Q: 6. Let g: X→→ Y and f: Y→ Z be functions. If go f is one-to-one, then f is one-to-one.

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Q: Question 3. If F(w) is the Fourier transform of f(t), then the Fourier transform of g(t) = 4e5jt…

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Q: h b The figure shows the cross section of a channel carrying water. Determine h, b and that minimize…

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Q: Using Fermat's little theorem, determine the remainder of Ć 734171 modulo 13

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Q: 1. For each the product AB is defined. If it is, find AB. b.) pair of matrices A and B below find…

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Q: 2 f(x) = x - x², g(x) = 3x - 1 and h(x) = = Determine an expression in simplest for for…

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Q: The plane II contains the points (1,2,3), (0, 1, 2) and (2,3,0). The line L passes through the…

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Q: Find the volume of the solid inside the hemisphere Z= x² + y² - 4x = 0. 16-x² - y² and the cylinder

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Q: Find an SVD of the indicated matrix.

A: The given matrix A=34. We have to find the SVD.