Calculate the integral of f(x, y, z) = e² over the portion of the plane x + 2y + 2z = 3 where x, y, z ≥ 0

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Q: Use Green's Theorem to evaluate the line integral. | (x - 4y) dx + (x + y) dy C: boundary of the…

A: The given integral is ∫Cx-4y dx+ x+y dy,  where C is the region bounded by x2+y2=1 and  x2+y2=16 To…

Q: (1) f(x)= x/2

A: As per our guidelines we are supposed to answer only questions and rest can be reposted

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A: Given, x 100 169 144 32 175 y 80 118 112 32 162

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A: The graph is drawn using DESMOS graphing calculator.

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Q: Question 1 1 -2 1 -1 1 2 -1 Let A = and assume that 1 2 -1 0 -1 -2 1 100 0 1 1-1 0 0 0 0 0 0 1 1 -1…

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Q: Part 2. Prove that the following are equivalent A. by Constructing a truth table 1. [p V (~p ^q)] +…

A: We will use truth tables and rules of replacements here

Q: 8 Use the appropriate graph(s) to find the LEFT HAND SUM estimate of The left hand sum estimate is

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Q: Q2. Evaluate | ydA in two different ways. Here R is the region in the first quadrant bounded by the…

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A: Introduction: Euler Graph: If there is a closed trail which includes every edge of graph G such that…

Q: 3.f(t) = te2t sint

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Q: Note: Round off your answer to 4 decimal places only 16 1 -5 4 X1 3 -4 -3 -2 -8 -1 X2 -7 6. 15 11 X3…

A: To solve for x4.

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Q: Consider the system of differential equation æ1' = t°x1 + 6 sin(t)x2 x2' = t°x1 + e*æ2 Write the…

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Q: EXAMPLE 3 Evaluate fE Vx + z'dv, where E is the region bounded by the paraboloid y = x + z and the…

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Q: Consider the following transfer function, with U(s) as a unit step input. What is the correct…

A: Inverse Laplace transform

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Q: ) Define the alternating subgroup (A5, o) of Sz. Given a permutation a e A5, prove that the map 0:…

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Q: Question 1. Given a metric space . (a) If x, y E X and p(x, y) 0, prove that x = = y. (b) Prove…

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Q: 1) f(x,y)= 2x² – 3y – 4 2) f(x, y) = (x² – 1)Xy + 2)

A: Solution :-

Q: Solve X4- Note: Round off your answer to 4 decimnal places only 16 1 -5 4 X1 3 -4 -3 -2 -8 -1 X2 -7…

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Q: following: a) EF + DH H b) ED + AB - (HG + FB)

A: This is a problem of vector analysis.

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Q: Question 2. functions f : [0, 1] → R. Define an integral norm || · ||i by Let C[0, 1] represent the…

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Q: Question 7. Prove or disprove: (a) The union of two subgroups of a group (G, *) is a subgroup of G.…

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Q: Let's assume that we have the following system of linear equations Ax = b where 3 2 A = 7 -2 -3 2 8.…

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Q: Find the Fourier sine and cosine transform of f (x), if х, 0 2

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Q: Let T: R3 → R3 be a linear transformation such that T(1, 1, 1) = (2, 0, –1), T(0, –1, 2) = (-2, 3,…

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Q: Show that rcjs0 = rcjs(-0)

A: Disclaimer: Since you have asked for hand written solution and currently we are not providing any…

Q: y"(t) = 4y(t) – e-tU (t – 1), y(0) = y (0) = 0.

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Q: (5xy --- 6x(2^

A: Given,        F=(5xy-6x2)i+(2y-4x)j and   y=x3 from the point (1, 1) to (2, 8).

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Q: A 2nd order, homogeneous, constant coefficient differential equation has characteristic roots x=-1…

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Q: Evaluate the limit. lim -5 V-I-2

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Q: Which expression is equivalent to [77 · (-65) + 147] mod 7? O 7 O [(147 mod 7) · (-65 mod 7) + (77…

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Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x*-20x

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