Given the vector x = ||||₁ 6 ||*|| = 3 |||×||2₂ = 20 -3, find

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Q: Prove that √3 is irrational. Hint: Imitate the proof in Example 3, using the fact that if p is not…

A: Introduction: Real numbers that are irrational cannot be expressed using straightforward fractions.…

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Q: I. For the following items, let U = {1,2,3,4,5,6} be the universe of discourse, and define the…

A: Solution: 2.(a) We know, if B is True, or A is False, A → B is always True.     Now, in the right…

Q: Consider the following differential equation: dy dr = sin(8 — ³) (√√(v + 2x)²) - Find the solution,…

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Q: Determine f(x) a. f(x) = 4 sin² (x - 2) b. f(x) = 2(cos x)(sec² x)

A: (a) The given function is f(x)=4sin2x-2 Find the first derivative…

Q: dx dy y²+x² 3x²y+y³+2xy

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Q: 2. Given that P find a) | P+Q-R 2ax - ay - 2az; b) P Q X R c) Q = 4ax +3ay + 2az; C = cose PR -ax…

A: Since you have posted multiple questions, we will answer the first one. The rest questions you can…

Q: Find the equation of the perpendicular bisector of the line segment joining (1,7) and (5, 13). Hint:…

A: The equation of a line that passes through the point: x1, y1 is y-y1=mx-x1, where m is the slope of…

Q: 1. Consider the function f: RR given by f(x) = x¹ = 4x³+4x². (a) Using calculus, find all critical…

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Q: 2. Use the Booth multiply algorithm to compute the following two pairs of numbers: (a) 39 x -45 (b)…

A: Using the Booth multiply algorithm we have to compute" (a) 39 x -45 (b) -53 x -43

Q: Select the following equations that are true. 3 (1+2+3+ + n)² = 1³ + 2³ +3³ +... ... Σ₁1 (2j-1) = n²…

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Q: 19. IF A = 3x9²²¹ 2 + 2xy²j - x²yek & 8 = 3x² - y2 FIND: A) 7. À @ (1,-1,₁1) *- - - - = a d + + ax •…

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Q: Problem 1 Consider the frictionless rod, i.e. ß = 0. The equation of motion becomes d²r dt² m -…

A: Given: Let us consider the equation of motion, md2rdt2-mω2r=-mg sinωt And the initial conditions are…

Q: Introduce slack variables as necessary, then write the initial simplex tableau for the following…

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Q: 1) Factor and solve the following quadratic equations: a) x² + 2x - 24 b) 3x² - 9x - 12 c) 9x² + 12x…

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Q: Let ƒ : [a; b] → R be a continuous function and let F(x) = f(t)dt where x > a. (a) Show that if f is…

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Q: 6. (3C-2D)T 7. CTD + CDT 8. C²D² C = 9. det (CD+DC) 10. (CD-DC)-¹ SING 0 -2 1 0 -4 -4 -11 1 2 0 1 2…

A: 8 Given matrix are C=5−210−20−411−4−1120120 and D=21−11−213−21−211−312−1. We have to find the C2D2.…

Q: sinh(2 ln(c)) = (A) = +222²2 (B) c² - 2/2 (C)/2 - 2/1/2 2c² 1 (D) c- ! (E) 0 1:37 AM ✔

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Q: The production planner for Fine Coffees, Inc. produces two coffee blends: American (A) and British…

A: It is known that 16 ounces=1 pound. The linear function that needs to be optimized is called the…

Q: Use the table of values below to find the equation of the curve represented by the points given. X…

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Q: In this problem, the domain is the set of all integers. Which statements are true? If an existential…

A: I understand that you don't want the copied answers as now I am giving answers may be the same as…

Q: Find the locus of the centers of the circles x² + y²-2ax-2by- +2=0, where a and b are parameters, if…

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Q: ch of the following problems, assume a, b, c and d are arbitrary constants, uivalent ODE by…

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Q: Find the length of the chord of contact with respect to the point on the director circle of circle…

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Q: Simplify the resulting determinant of the matrix below, knowing that AT = = Tf - Ti ST = | aL Ti aL…

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Q: Theorem 3.2.1 If the sequence {an}, n ≥ 1 is subadditive, then there exists a constant y such that…

A: If the sequence an, n≥1 is subadditive, then there exits a constant γ such that limn→∞ann=γ. We have…

Q: Jay is doing his mathematics homework on the run. He managed to squeeze in one problem between lunch…

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Q: −5(2+r)=30     Question content area bottom Part 1 The solution set is enter

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Q: x + 6x + x = t cos 5t x(0)= 0 (0) = 1..

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Q: Find the equation of tangent at the end points circle (x-a)² + (v - b)² = 2² which is inclined at an…

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Q: Suppose you run 3 miles from your house to a friend's house at a speed of 6 miles per hour. When the…

A: Consider the given information. a We have to find the time that you spend running to your friends…

Q: Problem 3. (Definite integrals of odd/even functions.) Consider the integral [ f(x) dx, a where f is…

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Q: 6. (3C-2D)T 7. CTD + CDT C = 5 -2 1 0 -2 0 -4 1 1 0 -4 1 -11 2 2 0] D 2 1 -1 -2 1 3-2 1 -2 1 1 -3 1…

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Q: Why is the approximation 6.48 if the value I get within a calculator by plugging the values directly…

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Q: A trough of length L has a cross section in the shape of a semicircle with radius r (See figure…

A: Given: The volume of water is, V=L0.5πr2-r2arcsinhr-hr2-h2, where L=10 ft, r=1 ft, and V=15 ft3. To…

Q: Let z = √²+y¹. 8²% дудх 1. Find = 2. If a and y are functions of u and w given by x= v² ln w and y…

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Q: Use a graphing calculator or other technology to solve the following linear programming problem.…

A: To find- Use a graphing calculator or other technology to solve the following linear programming…

Q: You have a set of magnetic alphabet letters (one of each of the 26 letters in the alphabet) that you…

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Q: 1. Prove or disprove: (a) The sum of two even integers is an even integer. (b) The sum of three odd…

A: To prove the given statement or disprove it :-

Q: 0 2,2, 2 C. (O,B, Y) d. (O. B. X) e. (I, A, X) X 3,2,1 5.0.0 1.2.6 -7,5,5 4, 3, 1 Consider the…

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Q: At UP National Graduate School of Engineering with 100 students, there are 29 women and 23 men…

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Q: Consider two metric spaces (X, dx) and (Y, dy). Show that if X is finite, then there does not exist…

A: Actually this result is wrong. I can disprove this by giving an example.

Q: 3. As I mentioned one night in class, symmetries of objects often give groups. Here you will…

A: We will find 4 symmetries of square using rotations and 4 symmetries using reflection and then will…

Q: (a) For any set SR", what is the closure cl(S) of S? (b) Let n € R", r ER, and set S = H₂" := {x €…

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Q: f (x, y) = x³ - 4x²y x42x³y is O Homogeneous degree -1 O Homogeneous degree 1 O Homogeneous degree 4…

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Q: -6w + x + 3y + 6z = -6 -7w-x-9y-2z = -33 -4w - 9x + 8y + 9z = -94 -w - 6x - 10y + 9z = -202 From the…

A: Sol:- Total Equations are 4…

Q: 1. In this problem, you will need to know that the determinant function is a function from {n x n…

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Q: y" - 5y + y = 0 y (0) = 1; y' (0) = 0

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Q: Jump to level 1 Simplify (s^(mv-s)) to ¬sv-m 1. Select a law from the right to apply -(SA(mv-s))…

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