Use the Green's Theorem to evaluate the line integral ( Cy+e³x ) dx+ (2x + cosy³) dy Where C is the boundary of the region enclosed by the parabola y = x ² and x = y² (Don't evaluate)

Q: 3. Find the values of the Boolean function represented by F(x, y, z) = y(xz+xz).

A: We see,        xz + x̄z̄ = 1 always.  So,      F(x, y, z) = ȳ(xz + x̄z̄)                     = ȳ.1 =…

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Q: prove f(x)=2x (mod 7) is injective

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Q: ind the area of the region that lies inside both curves. r=3sin(theta)     r=3cos(theta)

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Q: Can you explain what the process was to find the cardinality?

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Q: Please address all the questions thank you. This question refers to a standard deck of playing…

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Q: Find A+ and use it to compute the mini­mal length least squares solution to Ax = b.

A: How to find pseudo inverse A+:

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Q: Consider the linear program maximize 2x1 + x2 subject to 0≤ x ≤ 5 0 ≤ x2 ≤7 x1 + x2 ≤9. Convert the…

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Q: 1) Let ABC be a triangle in the hyperbolic plane. Let D be a point on side AB such that A*D*B and…

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Q: ven a matrix A in its RREF form 0 A=1 0 0000 ܘܘܘܘܐ 1 €0-000 ooow 00100 0 0 Tota Compute the bases…

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Q: The following table shows the number, in millions, of women employed outside the home in the given…

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Q: Exercise 4: IVP solution. Let k0. Solve the IVP y" + k²y = cos(t), y(0)= 0, y'(0) = 0.

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Q: Inversion is one step in processing raw sugar. Suppose that in this process, 20% of the available…

A: A0=2,000 is the initial amount of raw sugar.At=80 pounds

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Q: True or false: The integers 11!+2,11!+3,11!+4,...11!+11 is a sequence of ten consecutive

A: The sequence of integers :11!+2, 11!+3,....., 11!+11

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Q: Find A when P=6000​, r=3​%, n=4​, and t=5.

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Q: Evaluate π 13 1 + cos x $10/10 de 13 dx. 2 0 1 + cos x 2 dx = 0 (Simplify your answer. Type an exact…

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Q: Solve: y(4) + 18y"+81y = 0 y(0) = -4, y'(0) = 11, y"(0) = 60, y"(0) = -81

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Q: Find the solution of the initial value problem. 2y" - 5y + 3y = 8(t− 1), y(0) = 0, y'(0) = 0

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Q: Perform each of these operations using the bases shown. a. 31 five *3 five b. 31 five + 3 five c. 33…

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Q: For all positive integers a and b, if a^3 | b^2, then a | b. Hint: use prime power factorizations

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Q: 5. Solve the system of equations. If the system has no solution, say that it is inconsistent. x-y- z…

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Q: Find the domain and range of the given function algebraically. f(x) = 6 + 2√x - 5 o D: [5,00) o D:…

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Q: Consider the given vector field. F(x, y, z) = 4xye²i + yzexk (a) Find the curl of the vector field.…

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Q: Use the fixed point method (and Geogebra if you like) to find the positive solution of x³ 3x-1=0…

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Q: Find the integral § Where 2²+3 (2-2) ² (2+2)(2+i) C is the circle 1Z1 = 3 dz

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A: According to Bartleby guidelines I have solved first one. For next question you can repost the…