Prove that if f(z) is analytic, then: [f'(2)² = (² |f' (2) 1³² = (²+ (²)² = (²+)²

Q: From which we have (a₁ + a2) D+ (a3 + a4 + α5) d-(1 − A) (B₁ + B₂) D² = (1 − A) (B3 + B4 + B5) Dd…

A: Given: D1-A=α1+α2D+α3+α4+α5dβ1+β2D+β3+β4+β5d    . . . (1)andd1-A=α1+α2d+α3+α4+α5Dβ1+β2d+β3+β4+β5D…

Q: Consider the Riemann surface S of the algebraic function given by W= (z −2)² (√2+i) (a) What are the…

A: Given That : Algebraic Function is  w=(z-2)2(z+i)3 To Find : a)Branching point of S, their order and…

Q: derivative C" (*). Use this function in the model below for the Marginal Cost function MC (x).…

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Q: y = Ae* + Bre

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Q: prove V injective if x1 ‡xn → v(x1) = v(xn)

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Q: 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37 and 38 Describe in words the region of R³…

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Q: +(-A→ A) →(B → A)

A: Using the formal axiomatic system prove the following theorem ¬A→A→B→A

Q: What is this? Can you show with circles? For real function f A = f(f(A)) for en every why is A…

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Q: 1. Five years after purchase, the auditor of a newspaper company estimates the value printing press…

A: Equation of a line passing through (t1, v1), (t2, v2)  is  v(t)=v2-v1t2-t1t-t1+v1

Q: 5. dy/dx = sin(x + y). ANS. x + c = tan (x + y) - sec (x + y

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Q: Question No. 5) Show that a partition of a set S determined equivalence Relation on set S.

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Q: Which of the following statements are equivalent? Proof your result. P→ (QR) (P→Q) ^ (P→ R) (PAQ) →…

A: Introduction: When identical statement variables are used to denote the component statements, two…

Q: /0 1 0 5. (a) Let A = 1 1 2 find A2 and draw the digraph corresponding to A². 0 2 0/ (b) Find the…

A: 5. (b) To Find: The adjacency matrix for the directed graphs.

Q: (a) = √2+isin 2 (b) = (1+1)(cos+ i sin ) (c) zn = "+(-1)"

A: As per our guideline we are supposed to answer only three subpart of the first question. Here a), b)…

Q: Suppose that the set A={X₁, X2..., Xn}, X₁ ER" spans the entire space R", i.e. for any arbitrary…

A: Given: The set A=x1,x2,...,xn, xi∈ℝn spans the entire space ℝn, i.e. for any arbitrary n-vector…

Q: Question 2. For n ≥ 1 and x € R, let fn(2) = xn n + x²n and f(x) = f(x). Let r [0, 1) and sn (r) =…

A: As per the policy, we are solving three parts. Please repost it and specify which part is to be…

Q: (e) The method ди = dx h order 2. [u(x+h),y(t)—u(x,y(t))] is of

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Q: Use Stokes' Theorem to evaluate the integral: [cur S curl F. dS F(x,y,z)=ze' i+xcos (y) j+xzsin (y)…

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Q: The record for the longest alligator in Florida is about 14.292 feet long. Write the length in word…

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Q: The heat conduction equation u = u is xx approximated by 1 2k (i) (u²+¹ − u²-¹) = 2 (u²-1 - 2 + ¹+1…

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Q: a b с In a study of the length of time it takes students to travel to TAFE in a country town, a…

A: a) A graph that is used to represent the relationship between the two variables is known as Scatter…

Q: An independent set in a graph is a set of mutually non-adjacent vertices in the graph. So, no edge…

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Q: Consider the following example: if g: [a, b] → R is continuous and F is a function defined as F(x) =…

A: It is given that,  g : a, b → ℝ is continuous and F is a function defined as ;  F(x) = 1,x∈a,…

Q: Task II: Your manager asked you to answer the following: A) Define quantitative and qualitative…

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Q: Calculate the inbreeding coefficient for highlighted individuals in the following pedigree. Recall…

A: Hint: Identify the common ancestor of the highlighted individuals using Path Analysis technique and…

Q: 2- Consider the matrices A = [₁²1], B = [₁ J₁ C=__=₁} K₁ = [50], K₂ = [₁²2] Solve AX + BY = K₁ CX +…

A: Given: The matrices are A=3211 ,B=0110,C=111-1, D=11-14,K1=5000 and K2=21102. To find: The matrixes…

Q: Problem 8.8 Let n > 1 be a fixed natural number, and consider the n-fold cartesian product Z/2xxZ/2…

A: Given information The n-fold cartesian product is  ℤ2  × ℤ2×  ℤ2×..... ℤ2 =  ℤ2×n   Part (b):-…

Q: 5. Recall that the Maclaurin series for e is 1 eª = 1+x+ x² + + 24 L = lim + 1 120 (a) Use this…

A: We use the formula  coshx=ex+e-x2    and  sinhx=ex-e-x2 Then we find required  solution.

Q: 4. The function f : [1, ∞) → R defined by f(x) = (1-x2) ez is continuous and decreasing on its…

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Q: Find an approximate solution to the nonlinear algebraic equation 4x-x³ = P P=2.5

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Q: By subtracting (17) from (16), we get C (P− Q)[(A+B+C+1) −D] =0, Since (A+B+C+1) − D ‡0, then P = Q.…

A: We have been given: P=A+B+CQ+DP-be-d    16Q=A+B+CP+DQ-be-d    17 We have to explain: P-QA+B+C+1-D=0

Q: 00 Write the Maclaurin series for f(x) = 7cos(4x²) as Σ n=0 Find the following coefficients. Co= C₂=…

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Q: Which of the following sets form bases: ) (1,1),(-1,1) for R² (1,2,1),(-1,2,1),(0,4,2) for R³…

A: Here we have to check whether the given set of vectors form a basis or not.

Q: 100. In a topological space, which of the following statements is correct? (A) a compact set is…

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Q: Consider the function defined by f(x) = -(x + 1)² +5 if x 4 Graph the function. Is the function…

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Q: considering the scalar function (x, y, z) = 9x³y - 2x√√z z calculate a)what is the gradient ofo b)…

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Q: prove if x → y then xor y = y =

A: To prove : If x→y then x or y = y Lets use the help of truth table to prove the above statement.

Q: ) Consider the vectors -- () --- () --- () a= = Do these vectors form a basis of R³? If yes, prove…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Consider the two functions given below: Function 1: f(x) = -9x² +31x +42 Function II: -50 -40 -30…

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Q: y" - 22y' + 121y = 1) Let C₁ and C₂ be arbitrary constants. The general solution to the related…

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Q: Estimate the instantaneous rate of change of f(x)= cos(x-7)+4 at x = π. a) 4. Ax =4 b) Af =1 Ax Oc)…

A: Given function is F(x)=cos(x-pi)+4 where x=pi We are going to find the instantaneous change of this…

Q: vectors form a basis of the R³ vector space? (-)-() 7 4 4 5 ctors y₁, y₂, Y3 (where y; E R² Vi) must…

A: ℝ3 vector space is a three dimensional space. So, the basis for ℝ3 must have exactly three linearly…

Q: 28. True or false (give a good reason)? (a) If the columns of a matrix are dependent, so are the…

A: 1a) False 1b) False 1c) True 1d) False

Q: V3.6.4 The movement of a particle is given by the equations ze, yet and z=0 for its coordinates,…

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Q: E5 You are working as an engineering manager for Amazon and you are planning to buy a warehouse…

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Q: [³ (2+)-8 (²+1)].0 integral, that is provide a, b and f(z) in the expression f(z)dz. bm f(x) express…

A: Given: The summation is 6n∑i=1n32+i6n2-82+i6n4. The limit of the given summation is n→∞. To find:…

Q: The following data were obtained for a sample of 10 men from a height and Σ (x₁ - x)² = 120, Ey? =…

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Q: It costs $60 to buy green bean seeds. Green beans sell for $40. It takes 10 days for green beans to…

A: Given The cost of green bean seeds are $60 Green bean selling price is $40 It takes 10 days to grow

Q: 3- 2- y= g(x)- 1. R S 1 2 y = f(x) 5- 4+ 3+ 2 14 0 T 5) = (8(x))² HI 1 2 3 2. The function f is…

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Q: Using Conyo uution Theorem 1) [=² { = 3² (5²+0²) } L-2 1

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