Find the value of the integral ∫ e1/z dz Applying the Cauchy-Goursat theorem for the case where C is treated as |z – 2i|=1

Q: If A=(4, 2, -1) and B = (2, -6, -3) then calculate a vector that is perpendicular to both A and B

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Q: x1 + Write a vector equation that is equivalent to the system of equations. = 1 €1 - 8x1 + 4x2 - 2x1…

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Q: Give the general solution to y' = z¹y¹ +42¹ y³

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Q: Write the series of expansion for the following series:

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Q: Given: (2x2y + 3y³) dx - (x3 + 2x y2) dy = C

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Q: Give an example of the following or prove that such a request is impossible: (i) An unbounded…

A: Given:  i) An unbounded sequence an and a convergent sequence bn with an-bn bounded j) A Cauchy…

Q: If f and g are linear transformations are represented by the matrices (0 -4/2 1) and (3 3/-5 -4),…

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Q: Let X,Y be a finite dimension vector space then O dim(x)=dim(Y) O dim(X)<dim(Y) O dim(X)zdim(Y) O…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: y = (c1 + c2x)ex + c3e2x

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Q: etermine the value(s) of h such that the matrix is the augmented matrix of a consistent linear…

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Q: A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held…

A: We have to form a differential equation for amount of salt after t minutes then solve it using…

Q: (n) 2 y dy + 2x³ + y² = 0 x² dx separable exact linear in x linear in y homogeneous Bernoulli in x…

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Q: Problem 1. Answer True or False. Justify your answers. a) {2,3} {1, {2},3, {1,3}} b) c). Notation:…

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Q: Find the smallest positive integer n such that 5(3² +2²) (3¹ +2¹) (3³ +2°)... (32" +22")> 924 9256

A: Using mathematical induction we can find the solution. Smallest n=9.

Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

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Q: Find a basis of the subspace of IR³ spanned by the following vectors: 3 -3 3 -3 Answer: -3 6 -9 4 2…

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Q: 5. What values of p result in predictions that the helicopter will land in a finite amount of time…

A: Note: 1xp, p&gt;0 approaches to ∞ as x approaches to 0. To solve the differential equation…

Q: A sofa regularly sells for $800. The sale price is $624.00. Find the percent decrease of the sale…

A: Solution :   Given that  A sofa  regularly sells for $800 The sale price is $624

Q: Swimming at a steady pace, it took Jack of an hour to swim of a mile. If Jack swims at that same…

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Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(3.5, -1.8,…

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Q: Example 1: Given the table of values for f(x) and g(x) find: a) gof (3) b) fg(3) c) of (4) x 1 3 4 5…

A: We have to solve given Questions.

Q: Consider a flow with velocity v→ (x,y,z) and density ρ(x,y,z), such that F→ and let n → =ρv→be given…

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Q: Angela deposits $⁢5500 into an account with an APR of 2.4% for 7 years. Find the future value of the…

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Q: At what point do the curves r₁(t) = (t, 2 − t, 15 + t²) and r₂(s) = (5 – s, s − 3, s²) intersect?…

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Q: (b) Prove that √2+√3 is irrational. Hint: Assume that √2+√3 is rational. Construct, under this…

A: We write the given expression in single square root form which gives us contradiction.

Q: What is the particular solution of y'=x²-2x+3, ify=4whenx=0?

A: What is Ordinary DIfferential Equation: A differential equation having one or more functions of one…

Q: Q2: Find the area and perimeter of a pizza slice (i.e. pizza was equally sliced into 8 parts) From a…

A: Q2. To Find: The area and perimeter of a pizza slice (i.e., pizza was equally sliced into 8 parts)…

Q: 4) Measurement the fuel efficiency for Car E speed as shown in table: 65 v(mi/h): 5 35 25 15 FE 22…

A: We are to estimate the fuel efficiency at 60 mi/h using the given data with a second-degree…

Q: If A⊆B ,can we always conclude that A = B

A: Let A and B are two non empty sets Since A⊆B i.e., The elements of A are contains in set B Here we…

Q: Write these phasors in all 3 forms + sketch: a) V = 5e¹.5j

A: We have to solve given Questions.

Q: Which is the negation of the following statement?  There exists n E Z such that n2 ≥ 36.  A. For…

A: Given statement is There exists n ∈ ℤ such that n2 ≥ 36.

Q: X = A +3B, 1 A= -1 5 -1 2 0-3 X = 2(AB+C), A= 2 , B = 1 3 -3 (30-1 (1 2) +4)-(3-49 B= 1 0, C= 0 6…

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Q: 1.4 Consider the following statement. (i) All girls are good at mathematics. Which of the following…

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Q: Find the length of the shortest path between a and z in the given weighted graph. 4 2 5 3 3. 2 4 6 -…

A: Given weighted graph is

Q: Assume that an and bn are eventually the same, so there is some K EN such that an = bn for all n >…

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Q: Obtain G.S. X - y tan -1 • (-)] - (-) = 0 dx + x tan -1 dy X X

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Q: Is that is balanced set O True O False Every balanced set is subspace * O True O False Is that every…

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Q: 10 Using the substitution x = sinh(6u) transforms the integral 3 12 100+ 9x2 into which of the…

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Q: Find the area and perimeter of a pizza slice (i.e. pizza was equally sliced into 8 parts) from a…

A: Let us consider a circle with radius r then , Diameter=2rarea=πr2perimeter=2πr+2rperimeter of…

Q: Show that sin4 x = 1 - 2 cos2 x + cos4 x

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Q: Write down the matrix of the linear transformation f that maps (1, 0) to (3, 1) and (0, 1) to…

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Q: One eight-ounce glass of apple juice and one eight-ounce glass of orange juice contain a total of…

A: Assume that the vitamin C quantity in one eight - ounce glass of apple juice = x mg the vitamin C…

Q: " determine conditions on the bi's, if any, in order to guarantee that the linear system is…

A: Given that,  The linear system of equations, We have to check whether  the this system of  linear…

Q: We have two functions: 1)x^5 + x = 1 2) sin x = 6x + 5 a)Use the bisection method to find the…

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

Q: Use Euler's Method to approximate the solution to the given initial value problem at t = 2 and…

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Q: 18. lim log3 (2x + 1). cot(3x) = x+0+ A) 3 2 In 3 2 3 In 3 B): MIN NIM D) E) 0.

A: The limit of a function at a point is the value to which the function would approaches to as the…

Q: Construct a circle containing X, Y, & Z, and label its center O. Construct a minor arc AB concentric…

A: Given Data: To Construct a circle containing X, Y, &amp; Z, and label its center O. To Construct a…

Q: (a) De Moivre's theorem says that (cose + i sine) = cos(ne)+ i sin(ne). Recalling the method of…

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Q: f(x) = -0.676x108x*-0.266x105x³ +0.127x10³ x² -0.0185

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Q: Suppose that a > 0. Which of the following functions has all of the following features? . One…

A: We have to solve given Questions.