Let f: D1(0)- C be analytic on D1(0). Let g(z) = f(z) for z E D1(0). is analytic on D1 (0) and find g (z). %3D Show that

Q: 7. Consider the ellipse = 1, 0 < a < b. (a) Write down a set of parametric equations that describe…

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Q: (a) Find the general solution of the given system of equations. )= :). 5 -9 x': 2 -4

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Q: Use Secant Method to find the root of x³ + 3x² – 1= 0 between [-3, -2] accurate to five decimal…

A: We have f(x) = x3+3x2-1 f(-2) = -23+3-22-1 = 3 x1 = -2 f-3 = -33+3-32-1 = -1 x0 = -3

Q: 5. Choosing 2 letters from the word GREEN. Write the sample space.

A: sample space :A sample space is a collection or a set of possible outcomes of a random experiment.

Q: Show that if α and β are Dedekind cuts, then so is α + β = {r1 + r1 : r1 ∈ α and r2 ∈ β}.

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Q: 2. For each problem, sketch the constraint curve g(x,y) = C along with a contour diagram for f(x,y).…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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Q: Is -3 a multiplicative inverse of 17 mod 26? Show all workings.

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Q: 6. Find the equation of the circle that passes through the point (9,7) and is tangent to both the y…

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Q: P= 30x, +40x2 2x1 +x2 5 80 X1 +X2 5 56 + 2x, 596 X1

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Q: Let 1 2 9 0 3 2 8 8 А — 16 72 -8 -16 -32 1 2 -3 -6 -27 3 6. 12 The reduced row echelon form of A is…

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Q: Betermine if the sets of vectors are linearly independent or dependent. Justify your answer. You may…

A: We Know that,

Q: Find Df and Duf to:- 3. f (x)リン) =2そー3(x+リ)2+tanxZ on the point (1,I,1) in the direction of V = 2i…

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Q: Given the vector field F = x'yzi + xyzj + xyz'k; Transform the vector field into cylindrical system…

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Q: Write the Sample space, outcome or event of the ff: 1. A couple has 4 children. If 2 of their…

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Q: Let E be the set of rational numbers in the interval [0, 1]. Let XE be the characteristic function…

A: It is given that E is the set of all rational numbers in the interval 0, 1. The characteristic…

Q: 4. Use linear algebra to solve the system of differential equations 3x1 + 2x2 6x1 + 2x2 with inital…

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Q: A) The fraction  b/a  may be written as  b/a = (a+b−a) / a = 1 + (( b−a ) / a ). Use the power…

A: Given, Variables required for the expression of  inductance (L) To find: a) Inductance approximate…

Q: 3. For the following predator-prey system, identify which dependent variable, r or y, is the prey…

A: Given: dxdt=αx-αx2N-βxydydt=γy+δxy To identify which dependent variable is the prey population and…

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Q: Let W=Fcw)+9(v) where u= Xtiy and V=X-iy, show that w Satis fies the Laplace egr Wxxt Wyy=o…

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Q: Melchor works as a merchandiser in a supermarket. His supervisor asks him to create a display in…

A: Given that 15 layers. For a pyramid a pyramid shape 1st layers need  oranges, 2nd layer need 4…

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Q: 1. Determine which of the following statements are true for all sets A, B, C, and D. If a double…

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Q: 5. Prove that there is no value of k such that the equation æ³ – 3x + k = 0 has two distinct roots…

A: To prove: There is no value of k such that the equation x3-3x+k=0 has two roots in [0,1].

Q: an eigenvector, find the corresponding eigenvalue. (a) u = |0 (b) v (c) w = |0 [3 0 2 0] 1 3 10 0 1…

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Q: A 6 6. 6.

A: We have to find the diagonal matrix if possible.

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Q: (D5 - 2D3 - 2D2- 3D - 2)y = 0. Auxiliary equation and general equation

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Q: Find the area. Use 3.14 for r. (Assume d = 22.4 cm.) cm2

A: We have to find the area of given shape.

Q: 2. Illustrate that the sum of the measures of the angles of an elliptic triangle is more than 180°.

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Q: 2. A bag contains six identical balls: two reds,3 blues and one yellow. Three balls are drawn from…

A: We have 2 red , 3 blue , 1 yellow Total 6 balls . Three balls are drawn from the bag .

Q: 6. 5. Σ m(n+2) In 1 6. Σ 7. E 5 7+1

A: In 5 and 6 using comparison test while in 7 using D'Aembert Ratio test.

Q: In Exercises 1 and 2, use an artificial variable to solve and check your solution. 1. Objective…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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Q: Write the Sample space, outcome or event of the ff: 1. A couple has 4 children. If 2 of their…

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Q: List all the subgroups of Z, including the “obvious" or “trivial" ones. Explain how you generated…

A: Here, ℤ7=0, 1, 2, 3, 4, 5, 6  We will find all the possible subgroups of ℤ7×

Q: A. Evaluate the following integrals. dx 1. 5+x²

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Q: 1. Solve the d.e. y"-9 y+20 y = 0 three different ways: (i) by finding the roots of the associated…

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Q: U he sinylexe meliad to slue the pro subjeet to てx+メ 2 x, + X2 < 12 Xi + Sx2< 12 XI,X2 ZO

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Q: Use the inner product (u, v) = 201v1 +uzvz in R2 and the Gram-Schmidt orthonormalization process to…

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Q: If it cost $8 to fill a gas tank in 1980, how much would it have cost to fill the same tank in 1990?…

A: As per average gasoline price data given in the question , price  index for average gasoline  price…