3 rate tan z C wise of as dz, C the boundary of z- i vertices 0 and ±1 + 2i. Ln (z+1) z² + 1 dz, C: |zi| = 1.4

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Q: Question 4 Find the critical point of the function f(x, y) = -3- x - 8x² - 2y - 5y² This critical…

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Q: 5. Determinants. y² -17 1 0 5 (a) Let A = (b) Let B = (c) Let C = a 9 b i b h -12 0 2 2 a³ 0 √b 0 2…

A: To find above determinants we need to use the properties of determinant.

Q: ve. 3 2 5x - 9x ≤18x ne solution set is (Type you

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Q: 6. a. b. O 5 3 -4 -1 3 -1 20 。。 1 -4 3 0 4 1 -3 3 0 -2 -9 0 -1 -2 0 -1 -1] -3 00

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Q: (ii) T F S is a diagonalizing matrix for A if and only if (S-¹)T is a diagonalizing matrix for AT.

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Q: Let F: ]0, +∞[→ R be defined by: F(x) = = √²² ² a) Calculate F'(x) b) Is F an increasing function?…

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Q: Let S be the closed surface given by 2¹+ y² + 24 = 1. (For a figure for such a surface, see the…

A: Here we are using the divergence theorem to solve above problem.

Q: Compute the improper integral e-√x -dx. √x fe

A: We have to evaluate the following improper  We know that  .

Q: 5. For the following questions, use the following contour map of the function p(S, T) which…

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Q: End of Year Cash Flow Series A Cash Flow Series B Cash Flow Series C 1 2 3 4 5 -$1,000 X 1.5X 2.0X…

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Q: Solve the following 2nd Order Euler-Cauchy Nonhomogeneous Differential Equation: x²y" + xy' - y =…

A: The differential equation is: .We have to solve the given differential equation.

Q: Find the Laplace Transform of f F(x) = { cosx COSX a. b. C. d. 0 0π/2 se e s² +1 TTS 2 TTS 2 s² + 1…

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Q: A pool cleaning solution is mixed from three different bottles of solution. The first bottle…

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Q: et f(x) be an irreducible polynomial over a field F. Then f(x) has a multiple root in some field…

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Q: Let R be a commutative ring with unity and let S ‡ R be an ideal of R. Then R /S is an integral…

A: Integral domain and prime ideal.

Q: Solve the equation. Check your answers. 2/3 - 1/3 +X X -72=0 X= (Type an exact answer, using…

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Q: Graph the following linear function. Give the (a) x-intercept, (b) y-intercept, (c) domain, (d)…

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Q: Solve the system. X1 3x3 = 7 2x₁ + 4x₂ + 7x3 = 21 2x2 + 4x3 = 6 Select the correct choice below and,…

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Q: Suppose that f is continuous at (5, 2) and that f(5, y) = y³ for y# 2. What is the value ƒ(5,2)?…

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Q: 9. For f(x)=sin(2x+1)+2: (a) Complete a table of values for the "key" points. (c) Write a mapping…

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Q: Example 1. Convert the following quadruple integral PI 1 (₂) = √₁² √² f f 0 to a single integral.…

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Q: Find the orthogonal projection of v= [15 8 0] onto the subspace V of R^3 spanned by [-1 -2 -2] and…

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Q: [3 Let A = 4 0 [3 -11 4 0 [5 722 = 1 2√2/2 x = -1] 2 and b = 2 3 X = -4 5 5√2 - C/A Cr/co 0 3 5√2 1…

A: It is given that,  and QR factorization of matrix A is given by,.

Q: Question 6: By using Laplace transform to solve the IVP: Theny (s) = L(y(t)) is equal to: a. b. 1…

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Q: Evaluate the limit or show that the limit does not exist. (Use symbolic notation and fractions where…

A: From the function:

Q: Find the values of z, y and z that correspond to the critical point of the function: 2 = = f(x, y) =…

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Q: Suppose you wish to install a drip sprinkler system and need to run a drip water line to five areas,…

A: Prim's Algorithm: To efficiently select the minimum weight edge for each iteration, this algorithm…

Q: (11) y" - y" -y' + y = 0, y(0) = 2, y'(0) = 0, y" (0) = 2

A: There are many question for solving differential equation and student did not mention any particular…

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Q: Solve the initial value problem (tan(9y)-4)dx+(9xsec2(9y)+(1/y))dy=0, y(0)=1

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Q: The antiderivative of f₁(y) is Hence F(y) = 2√ dy = 2√

A: Antiderivative of .To Find:The value of the above antiderivative.

Q: y² Consider the ellipsoid f(x,y)= 1- and the point P(-√2,0) on the level curve f(x,y)= Compute the…

A: The ellipsoid and the point  on the level curve .Now Derivative with respect to the xThe slope at…

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Q: Show that the following series is convergent for positive number p and state the ondition on p that…

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Q: Problem 3: Use Laplace transform to solve the differential equation: y" + 2y = 8(t-1); y(0) = 0, y…

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Q: May sound like an obvious question but how does the set contain 0 when n is greater than 1?

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Q: This question is regarding the proof of the formula rd [*° f(x)dx = bƒ(b) — aƒ(a) – [ª g(x - g(x)dx.…

A: Given that  is a continuous and strictly increasing function which maps the interval [a,b]…

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Q: 5. If f is continuous on D such that D = {(x, y) | a< x≤ b, g₁(x) ≤ y ≤g₂(x)}, then…

A: To find a double integral in a domain D in the form dy dx, we first put the limits of y as a…

Q: For the given function f(x), the point c, and a positive number e, find L = lim f(x). Then find a…

A: If then we can write .Also, we can write If  we can similarly write If  then

Q: addition. (b) Let R = R[0,1]. If f € R satisfies f = OR for some ne N, then f = OR. (c) If F is a…

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Q: Find the centroid of the given region. 5 3+ 2+ 0 5

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Q: Prove that in an integral domain if there exists a greatest common   divisor of any two elements,…

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Q: 4. Each loop in the graph of r = cos(20) which is given below has the same shape and area as each of…

A: Finding the values of theta:

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Q: Test algebraically whether the function is even, odd, or neither even nor odd. 9 f(x)=√x The…

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Q: It is required to distribute courses to 5 assistants in the industrial engineering department. There…

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