Knowing that S+x x² e ²² dx. +∞ +∞ Se-¹² dx = √√2π, find x2 е

Q: 16. An offshore well is located in the ocean at a point W which is six miles from the closest shore…

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Q: ]i+ 5x sec² (xy) —- 3] + [6 y j+(6xz+2) e³x² –3]k, For F(x, y, z)=[5ysec²(xy)+6z²e³² find the curl…

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Q: 1. Compute the condition number in the 2-norm, 82, for the following matrices. Use the pseudoinverse…

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Q: Let L₁ be the line passing through the point P₁(-3, 1, -2) with direction vector d=[0, -1, 2]T, and…

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Q: Use Euclid's algorithm to find gcd(340, 144). Hence find Icm(340, 144). [Show your working.]

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Q: Jessica deposits $500 at the end of every month for 1 years and 7 months in a retirement fund at…

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Q: (9.1) Show that 3 ∈ Z15 is a zero divisor. (9.2) Prove that in any ring R, if a ∈ R is a zero…

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Q: value 1. Let K be the subgroup of positive real numbers. Determine whether or not he canonical map H…

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Q: Determine if the function f is an exponential function.  If so, identify the base.  If not, why not?…

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Q: show that A is nondefective and use Theorem 7.4.3 to find eAt.

A: Given : A=-13-3-1 To show : A is non-defective. To find : eAt.

Q: 1 Let Sn: = {x € Rn+¹ |||| = 1} be the unit sphere in R+1, with the topology induced from the…

A: Please find the attached image

Q: Chapter 2, exercise 11.6: Let G be a group that contains normal subgroups of orders 3 and 5,…

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Q: Find the equation of the line that is tan- gent to the circle x² + y² = 4 at (-√√2, –√2).

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Q: Let A = [100 -2 1 1 3 -1 and D= A = PDP-¹. Find matrix P = -2 0 0 10 0 0 02] 0 a b c 3 1 2 d 07 . A…

A: Roots of characteristic equation are the eigen values of the matrix Solution of the homogeneous…

Q: 2. Solve the general cubic equation x³ + ba + bx + c = 0 with the trick of Cardan's Ars Magna.

A: The general cubic equation x3+ba+bx+c=0. We have to solve this equation using Cardan's Ars Magna.

Q: Prove that 7has no expression as an integer liner combination of 18209 and 19043

A: To show that 7 has no expression as an integer linear combination of 18209 and 19043. That is we…

Q: A manufacturing plant makes two types of inflatable boats: two-person boats and four-person boats.…

A: Let two person boat is denoted by x and four person boat is denoted by y Therefore Max Z=25x+40y…

Q: 4. An egg vendor broke all the eggs that he was delivering to a local store. He could not remember…

A: 4. An egg vendor broke all the eggs that he was delivering to a local store. He could not remember…

Q: C. Write down a sequence for the number of shapes/dots in each pattern. Explain how to obtain the…

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Q: 11. Simplify the following expressions: 11.1 z=¬¬(ave) v (πv¬0)) 11.2 z=(¬α ^ß) v (B^¬μ) V(B^H) Z=

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Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

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Q: C. Write down a sequence for the number of shapes/dots in each pattern. Explain how to obtain the…

A: Sequence: A sequence is defined as the list of numbers that form a pattern.

Q: Compute the following integral by hand, using an appropriately chosen contour integral in the…

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Q: Ruel is the brother of Bella. Dina is the sister of Ruel. Matthew is the brother of Tanya. Tanya is…

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Q: Solve [(5-6i)(2+7i)]* Solve (2-3i)/(5+8i) (19-i) + (4+15i)

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Q: Let m and n be integers. Two integers m and n are said to be consecutive if m - n = 1. Consider the…

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Q: Use the definitions of sin(z) and cos(z) T 2 prove that sin z+ = cos(z) for all z E C. (Do not use…

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Q: SET UP BUT DO NOT EVALUATE: integrals as specified to find the volume enclosed by √x² + y² and the…

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Q: 12) 67' -5% (.) 9 = ? Ft'- In xx/xx” ?

A: Consider the given expression 67'-514''9. Single dash ( ' ) represent the feet and double dash…

Q: (2) Evaluate ³ dAwhere D is the region bounded by 2y=√xand y = 5-x, yz 0 gử

A: Double integral is denoted as ∫ab∫g(x)f(x)F(x,y)dydx or, ∫ab∫g(y)f(y)F(x,y)dxdy

Q: QUESTION 8 Consider the following 3 permutations in S10: o= 1 2 3 4 5 6 7 8 1 4 5 6 8 10 7 9 9 10 2…

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Q: Problem 1. The ciphertext IPQASEKZYSLA comes from a Vernam encryption with the short keys A and B of…

A: Please find the attached image

Q: an=y TE TT/2 COSX, Cosnxdy

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Q: Chapter 6, exercise 4.2(b): List the proper normal subgroups N of the dihedral group D₁ and identify…

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Q: Let n be an integer > 1 and N = n! + 1 a) Prove that N has a prime divisor > n b) Use a) to prove…

A: Here if all divisors are greater than n then their product divides 1 that is not possible.

Q: Consider the function f(2)= 1 2³(2-3)* (5.1) Use a known Maclaurin series to find the Laurent series…

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Q: H(n) = 2H(n − 1) + 1, n ≥ 2, H(1) = 1 ⇒ H(n) = 2" – 1↓ Using mathematical induction, verify that our…

A: We prove result in following way. Base Case: Result is true for n=2. Hypothesis : Assume result is…

Q: A bag contains 2 gold marbles, 9 silver marbles, and 25 black marbles. Someone offers to play this…

A: Given that, Number of gold marble=2 Number of silver marble =9 Number of black marble =25 Given that…

Q: QUESTION 1 Consider the integral I = dz, direction. dz, where C is the circle |z| = 3 taken in the…

A: The given integral is, I=∫C1z2dz   where C is the curve z=3 taken in counter-clockwise. To Find: The…

Q: Determine if each of the following is true or false. (a) G= 12x27-8y] is a gradient field. False…

A: Given the field, G→=12x2i→-8yj→ To check whether it is conservative, it needs to checked that for a…

Q: Problem 1. If roll three fair dice, what is the probability that we get a total of 15?

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Q: Use the definition ƒ'(zo) = lim Z→>>> ²0 1 derivative of f(z) == for z = 0. Z f(z)-f(zo) Z-ZO of the…

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Q: B. Given the matrix 120 A = 0 -1 4 52 a

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Q: Suppose n ∈ N. Let S be the following statement: If n is prime, then 2n + 1 is prime. (a) Write down…

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Q: the characteristic polynomial p(λ) for a square matrixA is given. Write down a set S of matrices…

A: The characteristic polynomial of a square matrix A is given by ; p(λ) = 3-λ2-2-λ3λ2. We have to find…

Q: Find the root of the function using the following methods. b- False Position

A: False Position Method:              The false-position method to find the root of the equation…

Q: The following Lewis diagram represents the valence electron configuration of a main- group element.

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Q: Express final answer in standard form. Show detailed solution. 10+j5+3/40° - 3+ j4 +10/30°

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Q: 5 Questions 5 and 6 refer to the following information. Dakota and Alex work as babysitters. For…

A: Dakota charges   $10  per hour  and  $5  for travel expenses.  Alex charges  $8 per hour  and  $4…

Q: Find a value / such that the line y = 1+ 2t best fits the data (-1,-1), (0, 1.5), (1, 2), (2, 3).…

A: the slope of line is 2 the coefficient of t  the point must satisfy the equation hence we put the…