I need help and explanation with the following question thankyou. For complex analysis.

Q: Determine all local optimum points and all infection points. f(x) = x³+ 3x² - 9x - 3

A: We will find the local optimum points of the given function fx=x3+3x2-9x-3 i.e., we have to find the...

Q: R\{-1} by a * b = a + b+ ab. Show that (R \ {-1},*) is an 3. Define the operation abelian group. * o...

A: The solution for the asked part , is given as  

Q: Curves Pind the Integral of I y=22 y = 8x2 ||= xy 19 = xy | Let te Isff(ay)dA= [f, fuw) ]J(uw] dA If...

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Q: Differential Equations]: Solve with complete solutions. (x²+y²+1) dx + x(x-2y) dy=0 (Non-exact)

A: Differential Equations]: Solve with complete solutions. (x²+y²+1) dx + x(x-2y) dy=0 (Non-exact)

Q: you have the following paramteric equation: r(t) = <t,sqrt(9-t2) solve the following.

A: The given parametric curve r(t)=(t,  9-t2) to find the arc length and the curve by eliminating param...

Q: 4.3 1. (a) Suppose Newton's method is used to find v3, by finding the positive zero of r2 – 3. Give ...

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Q: Let A = {r € N :3< x < 16} and B= {r € N:r is even}. a. Find An B. b. Find A – B.

A: Sets

Q: 3. On the average 35 % of the people afflicted with a certain disease die from it. Under a new treat...

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Q: Jump to level 1 In a poll of 1000 randomly selected voters in a local election, 45 voters were again...

A: Statistics is a branch of mathematics that gives us the tools to deal with large quantities of data ...

Q: Problem 1: Suppose T: R → R³ is the transformation that: • reflects a vector across the xy plane, • ...

A: As you have asked many subparts- in single question, we have solve first three subparts only.

Q: (b) The following is a proposed proof of the given statement. 1. Suppose m is any even integer and n...

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Q: • Let (*n) and (Yn) be bounded sequences. Show that lim inf x, + lim inf yn < lim inf(xn + Yn) < lim...

A: Recall that liminf(-xn)=-limsup(xn)

Q: Set a = 0 gives Uo = {(x1,x2, x3)T E R³|x1 + 2x2 = 0}. Define an operation O for the vectors in R3 b...

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Q: number

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Q: Use the method of elementary operations to evaluate the determinant 2 -4 3 6. 1 2 -2 3 -5 4 -4 -2 3 ...

A: To find- Use the method of elementary operations to evaluate the determinant 2-43612-23-54-4-23734  ...

Q: Let (xn) be a bounded sequence. Recall that lim inf xn = sup inf xm = sup inf{rn, Xn+1, ...}, lim su...

A: We prove it by contradiction. For this, we assume that L1 is a limit point that is smaller than L.

Q: Variation of Parameters 3. Find the general solution to the differential equation: y'''+y'=tan x

A: The solution is given as  

Q: Solve the following inequalities:     (a). I 14 + 3x I 42     where, I 14 + 3x I is the absolute ...

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Q: 1.1 Let u(x, y) = 4(x² – y²) – 5y. If f(x, y) = u(x, y) + iv(x, y) is an entire function, then v(x, ...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Chapteer 5, Problem 15 Is th discrete-time homogeneous state equation 0.9 0 2 z[k + 1] = 0 1 1 1 mar...

A: Step :-1 

Q: HAVING A CERTAIN WEIGHT 20 18 16 14 Number of Packets 12 10 98 9.9 10 10.1 102 103 10.4' 105' 106 We...

A: 6. the number of packets weighed is the sum of number packets  that is given by adding all the packe...

Q: 4. Let G be a group and g e G. Prove that the function f: G G given by f(x) = gx is a bijection.

A: The solution for the asked part , is given as  

Q: Find a particular solution: (x2 + 6y2) dx – 4xy dy = 0, when x = 1, y = 1

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Q: 1.2 Suppose f(z) = (z – i)³e² is analytic inside and on circle |z - i| = 3. Then the upper bound of ...

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Q: Boos Anonymous, a support group for poltergeists recovering from exorcisms on Halloween, is trying t...

A: Total number of candy pieces to be given is n, which includes Reese's cup, snickers, milky ways and ...

Q: B. INSTRUCTION: Graph the following piece-wise function 2. f(x) = (6x - 2, 1> 0 3x - 2, ISO

A: The piecewise function is f(x)=6x-2        x&gt;03x-2        x≤0 the red line depicts the graph for ...

Q: 2 Evaluate (2² + y²)dz| where z=x + iy with y the path on line from z=2+i to z=1+2i.

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Q: Suppose that x = x(u, v) ạnd y = y(u, v) are given implicitly by system (u = x + y ! (r + 0). a)show...

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Q: Let s be the sequence defined as follows: S0 = 1 S1 3 Sn = Sn-1 + Sn-2 Find the next five terms of t...

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Q: Differential Equations Help me solve this with detailed explanation so I could understand. Thank yo...

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Q: Question 8 The concentration of a drug in a patient's bloodstream t hours after injecting the drug t...

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Q: 4. Find the volume of the region bounded by y = -x+1, x = 0 and y = 0 revolved about the x-axis.

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Q: a. 0, 3, 8, 15, 24,... an b. 3, 5, 8, 12, 17,.. an с. 6, 11, 18, 27, 38, ..

A: According to our company guideline's we can only answer first three part of the question it's a ques...

Q: 3x -x,+,=1 3x, +6x, +2x, =0 3 +3x, +7x, =4

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Q: Find the chromatic number of each of the following graphs. Give a careful argument to show that fewe...

A: The given graph is:

Q: Let A = {3,4, 5, 6,7}, B= {5,6, 7,8,9}, and C = {4,7,9}. Let U, the universal set, be {1,2,3,4,...}....

A: Sets.

Q: ) 1 2 3 4 5 6 7 8 9 10 = 10 9 8 2 7 3 4 6 5 1 (a) Write o as a product of disjoint cycles. (b) What ...

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Q: Verify that (AB)T = BTAT. 2 4 0 3 A = 1 -2 and B = -1 1 1 STEP 1: Find (AB)'. (AB)T = %D STEP 2: Fin...

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Q: calculate what $780 would grow to at 6.5% per year compounded daily for 6 years. (round your final a...

A: Formula: A=P1+rnnt where A= Final amount P=Principal amount r= Rate of interest t= Time period in ye...

Q: 9 dA where Use part (a) and the Change of Variables Theorem to evaluate D

A: In this question, we have to evaluate the integral by changing the variable I=∫∫DyxdAwhere D isD={(x...

Q: Stretch 1. Reflect the quadrilateral across the line y = -2. %3D YA y = -2

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Q: [. 1 4 1 2 Perform the indicated operations, given a = 4, b = -2, A = and B = 3 -1 0 aA + bB = Need ...

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Q: A monopolist sets the price as a function of the product produced. For every Q of products produced,...

A: The optimum value can be calculated using Newton's method. The formula for Newton's method is xn+1=x...

Q: 4.1.5. Let f(r, y) = (x² – y², 2 xy). Show that Df(a,b) (h, k) = (2ah– 2bk, 2bh + 2ak) for all (a, b...

A: The rate of change of the function f(x,y)  in the direction of the unit vector u→=a,b is called the ...

Q: Let x and y be integers. Given the statement x >y or x is odd. Which statement follows by the implic...

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Q: 10. Simplify, using the common denominator: 11. Combine like terms: x- 2y + 5y +4x + 1 3/4

A: Part 10)  Simplify , using common denominator, Making denominator same example =&gt; a/b + c/d =&gt;...

Q: Find a vector which is tangent to the curve of intersection of the surfaces z = x² – y? and xyz + 30...

A: We will find out the required tangent vector.

Q: 2.3 = 22 + 2 3-4 = 32 + 3 5-6 = 52 + 5 10 - 11 = 102 + 10

A: Given numerical data is:

Q: If in a set of base-ten blocks, one long represented 1/10 what is the value of each of the following...

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Q: 2. a. Write a compare story problem that fits natu- rally with the equation 17 + ? = 42 Draw a strip...

A: 2. a) The given equation is: 17+?=42 Compare story problem: Sid has 17 balls and Bob has 42 balls. H...