Use the Fermat's method to express each number in canonical prime factorization. 1. 229 2. 383 3. 671

Q: Let h(x, y) = x5 + y sin²x x² + y² 0, { 25 if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

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Q: Given u and v, find compu. u = [−1, 6, -7] v = [2,-4, -8] compu Ex: 1.234 -

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.

A: Take 3 even numbers, 2,8,36. Now 2=2k for k=1 8=2k for k=4 36=2k for k=18 So the even numbers are of…

Q: 1. Find lim 12/13 - 12/1/20 x3 8 x→2- x² - 4x + 4

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Q: as: w = f(z) = 6z² + 8z + 20-j22 a. Determine u and v b. Calculate f(1 - j5). Express your answer in…

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Q: Question 5 Compute the following matrix product: You can resize a matrix (when appropriate) by…

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Q: Find the Laplace transform, if it exists, of each of the following functions f(t)= {e-2x (5 sin2x -…

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Q: Initially, there are 400 bacteria and after 9 hours, 900 bacteria are observed in the culture. Find…

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Q: Sally is cramming for a history exam. She has an amount of material M to memorize. Let x(t) denote…

A: Given :  amount of material to memorize = M amount memorized by time t (in hours) = xt

Q: Q1.Put "Yes" or "No" in this Table. Homogeneous Function y=sinx y=5x+6 y=5x y=u(x) Additive Linear…

A: Given information

Q: √x² + y² - 4 y-2 Find and sketch the domain of f. Let f(x,y) =

A: The given function is:                                                      fx,y=x2+y2-4y-2

Q: Consider g(x, y) = -5x²y³ 3x4 + 7y6¹ 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that g has an…

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Q: if the root of the equations is Xlog X-1.2=0 located between 2.8 522-7 of the root using the wrong…

A: In this question, the concept of the wrong position method is applied. This method is also known as…

Q: If the auxiliary equation of a second order system has complex conjugate values, the response will…

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Q: 6

A: An infinite series has the representation ∑n=0∞ anxn, where an's are the coefficients of the nth…

Q: Add or subtract: 11 27 30 40 Enter your answer as a reduced fraction. Provide your answer below:

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Q: b) -4 ;= (-₁) ₁P₁ = ( 8 ), d -(-3). 6 If their positions are po = ,do they collide?

A: Given that two circles of radii r1=7 and r2=7. And three positions are p0→=−4−3 and p1→=−86. We have…

Q: Show that Q defined on (C[0, 1], ||-·||) by Q(x) = [tx(t)dt is a bounded linear functional.…

A: This is a problem of Functional Analysis.

Q: Show that the following pair of statements are logically equivalent with proper explanation:1. ∀x…

A: Part 1 We need to prove ∀xPx∧Qx is logically equivalent to ∀x Px ∧∀x Qx We prove that when ∀xPx∧Qx…

Q: 2. Show that xzxx + yZxy = y²Zyy if z = xy + yln(xy)

A: The given equation z=xy+ylnxy We have to show that xzxx+yzxy=y2zyy

Q: B. When square cross sections oriented perpendicular to the z-axis are stacked on top of a region R…

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Q: In a dance crew with 32 members, 9 are are part of unit A, 10 are in unit B, and 6 performs solo. 3…

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Q: Q2/ A. Determine the point of intersection and find the plane determine by these two lines z+1 x-2…

A: As per policy ,we have to do only one question so please post other questions in another post.…

Q: What does the span of the following vectors define geometrically? 2 4 23 7

A: To determine: The span of the following vectors geometrically. 123, 247

Q: An arithmetic sequence is given by the formula Ln=47+14nLn=47+14n. Find the sum of the first 1500…

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Q: g(t) = 4e13 (t+1) cos (6π fot)

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Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx + xydy=0

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Q: Fill in the blank for the following statements (choose FIVE only) 1- The rectangular coordinates(-2.…

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Q: A: Determine the interpolating polynomials for the given data and estimate f(-2), f(2) & f(4.5) use…

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Q: A: Find the Fourier Series of the function : f(x)=X+n if = n < X < n and f(x+2n) = f(x)

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Q: I. Answer the following questions in a ½ crosswise yellow paper. For each of the following, (a)…

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Q: Walter deposits $⁢1292.86 each quarter into an annuity account for his child's college fund in order…

A: Future value = $95000 Walter deposits $⁢1292.86 each quarter into an annuity account

Q: A brine solution of salt flows at a constant rate of 6 L/min into a large tank that initially held…

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Q: Complex Variables as: Given the following complex function expressed w = f(z) = 6z² + 8z + 20-j22 a.…

A: Given : w=fz=6z2+8z+20-j22 To Find :  a . u and v             : b . f(1-j5) and Express in…

Q: 1. Find the minimum amount of fencing required to surround a rectangu- lar area of 100 square feet.

A: 1) Given:       Rectangular area = 100 sq.ft

Q: Use the functions f(x) = 2x² a. (fog)(3) b. (hj)(12) c. (gᵒh)(x) d. (hᵒg)(x) e. (gᵒf)(x) to…

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Q: Question Add or subtract: 11 27 30 40 Enter your answer as a reduced fraction. Provide your answer…

A: Sol:- -1130-2740Least Common Multiplier of 30, 40The LCM of a, b is the smallest positive number…

Q: B: Evaluate the following: 1- r (4)r

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Q: Do you realize how crucial Ada Lovelace was to mathematics?

A: Ada Lovelace (1815–1852) was certainly one of the most significant women in the history of science,…

Q: I. OPERATIONS OF COMPLEX NUMBERS. Evaluate the following complex numbers: 1. Find the real part of…

A: Given: cos0.7r+jsin0.7r53 and 2-j50.2 We have to find the real part and roots.

Q: Equation: 150x-66y+10z=1500 1x+120y-55z=1200 1x-75y+110z=-900 Using Gauss-Seidel Method, determine…

A: Solution: Total Equations are 3 150x-66y+10z=1500 x+120y-55z=1200 x-75y+110z=-900 From the above…

Q: am sorry I do not understand this. Can you send a handwritten proof instead, please.

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Q: y' = sin (x + y)

A: We have to solve the given problem.

Q: Let x = Find the norm of x and the unit vector in the direction of x. ||*||=0 u 3 -5 || SC

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Q: Find the Taylor Series representation of the function f (x)=6log(ax+b) Then evaluate the first three…

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Q: Please do number 4-6

A: Given,  The Venn diagram of of the set A,B,C and universal set U is given. To find the B' , C' ,…

Q: Let f(x, y) = √x² + y² - 4 y 2 - Identify the equations of the level curves of f for k = 0, 1.…

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z + z.x] at the point x-3…

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Q: Let (Q, +..) is field of rational numbers and f(x) = 6x² - 3 € Q(X), show that whether f(x)…

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Q: 1.47. Alice and Bob choose a key space K containing 256 keys. Eve builds a special- purpose computer…

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