Eva lua te the integral (1+z)e² Sinz dz, where C: |z|=1, by any two me thods and compare the results.

Q: F. Prove the following: (10 pts each) 1.

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Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b) = 2 11 are equal, show that ==±+:

A: We can use properties of square of three no. To solve the problem

Q: "The product of two negative real numbers is positive" Is given by? Select one: O a. 3x Vy (x 0)) O…

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Q: Assume that T is a linear transformation. Find the standard matrix of T. T: R² R², first performs a…

A: First performs a horizontal shear that transforms e₂ into e₂+6e1, (leaving e, unchanged) and then…

Q: Expand and simplify to express each equation in standard form. [2, 2, 2, 3, 3, 2] a) y = (x +5)(x +…

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

Q: Problem 18. Show that dz < 2ne? 1/31 +3

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Q: Suppose the complex numbers x and y satisfy the following equations: xy - y² xy + 2x² = = 3 1 (A) 8…

A: Answer is D. 16

Q: Question 32 1 Point :/ (212- 4x +4) dr 2r² – . Evaluate: (А) 14 (в) 12 32 3 38 3

A: Using integration formulas we will evaluate the given integral as shown below

Q: Find two positive real numbers such that they add to 40 and their product is as large as possible.

A: Our Aim is to find two positive real numbers a and b such that they add to 40 and their product is…

Q: [1 -2 A = 3 0 4 Cule lil A-1 /3 12 -1 -2

A: First we  Inverse matrix formula and apply then calculate determimant of A .

Q: The Product of two positive decimals each less than 1 is never less than any of the factors. True or…

A: To check for The Product of two positive decimals each less than 1 is never less than any of the…

Q: State the inverse of the Pythagorean Theorem. Is it true?

A: The inverse of the Pythagorean theorem: If a, b and c are three sides of a triangle and if they have…

Q: Explain how the Pythagorean Theorem can be used in the real world. Who might use it on a regular…

A: topic- Pythagorean theorem

Q: Is it possible to solve this question without graphing? Just pure algebra.

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Q: For which real numbers x do the following equations hold: (a) Vx + V2x – 1+ Vx – V2x – 1 = V 2а — 1…

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Q: What does Descartes’ Rule of Signs tell you about the real roots of x3 – x2 + 1 = 0 ?

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Q: Phythagoras was the one who formulated one of the earliest theorems known to ancient civilizations…

A: Yes the given statement is true  Because approx 2000years ago a theorem is granted named as ancient…

Q: Exercise 10-6. Let u= (12) and v= (12345). Find vuv-¹, v²uv-2, and ບ°uv3.

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Q: 3 dy find dx If y = 6x+ 5. x=1

A: We use the derivative formula     ddxxn=nxn-1

Q: El valor de x en la siguiente ecuación es: [(6-2)x+b-1 (2-b) +b-1 (ь-2)—bх (ь-2)х+b-1 (b-2)-bx bx…

A: Consider the given:…

Q: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

A: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

Q: help me with my homew

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

Q: Perform the indicated operations graphically . Check them algebraically 9)2+(3+4j)

A: Since you have posted multiple questions, we will answer the first question. If you want the…

Q: Simplify completely: 22+5 3z +. z十1 z-2

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Q: [2 -1 1T If A = 0 2 find A? li 11

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Q: the answer is incorrect and does not even make sense because if you have pi in the numberator and…

A: Please see the below picture for detailed solution.

Q: If the roots of ax² + bx - 2 = 0 are a + b = 1+√3 3 I what is a+b?

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Q: 6 X-4 2 - 1

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Q: [o A = 2 -1 and C = 1 .2 2 -1 -1 AT + 3CT

A: