The u(x) that converts the equation below into an exact equation (r'er ++ (2x*e + 1) = 0 dx Is given by 1 1 option 1 O Option 2

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Q: Consider the Cobb-Douglas function n f (X1,x2,..,Xn) = x"x. i=1 where x; > 0, and a¡ > 0 for all i=…

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Q: Consider the following equations with small parameter e: (a) er - a = 0 (b) r - a +e = 0 In which…

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Q: Let fn(x) = sin" x and let 8 > 0. a) Prove: fn converges uniformly on [0, 5 – 8], but not uniformly…

A: The given function is fnx=sinnx. To find: (a) fnx=sinnx uniformly or not on given domains.…

Q: Q1: Solve the following recurrence relation an = 4an-1 - 3an-2 for n 2 2, together with the initial…

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Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1- y/3 – z/10) dx dy dz in the order dz dy dx.

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Q: (i) ( Let y: [a, b) → C be a curve. Explain what it means for y to be: (a) piecewise smooth; (b)…

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Q: Solve the integration below using: 4 La | (1 – e* ) dx a. Analytical method b. Trapezoidal Method…

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Q: 3. Use Mathematical Induction to prove that 4 + 10 + 18 + ... + n (n + 3) = [n .. (n + 1) (n +5)] /3…

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Q: Let L(y) = x²y" – x(x+2)y' + (x+2)y %3D (a) consider the homogenous differential equation L(y) = 0…

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Q: . Calculate the area bounded by the curve y= 4(x – 1) and the x -axis. A)

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Q: Q2) Solve the following simultaneous equations using Gauss elimination method 2x + 3y + = 13 x- y-…

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Q: Convert the Partial Diff equation to canonical form and find the general solution a²u a?u a?u +2…

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Q: 2.65 Let fn(x) = xe¬nx² a) Find || fn||sup for all n. b) Determine whether or not fn converges…

A: The given function is fn(x)=xe-nx2 ∀x∈ℝ To find: (a) ∥fn(x)∥Sup ∀n             (b) Whether…

Q: Suppose we have some approximation N(h) to M, and we know that N(h) = M + C¡h+ C2h² + C3h³ +0 (h*) .…

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Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: Given A E Mmxn(F). Prove that (LA)* = LAt.

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Q: Draw a first order predicate logic proposition for the sentence “Everyone who works hard in CST 3170…

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Q: You are considering two job offers: Job 1 is a full-time position that pays $58,000 annually and Job…

A: Concept: Gross income = net income - deductions.

Q: 8. Let S be the surface {(x, y, 2) | a = y? + 22 + 1}. Find every point (ro, yo, zo) on S so that…

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Q: A ship is following a course that is 104 miles from and parallel to a straight coastline. The ship…

A: Given: Let A represent the location of origin. As a result, its coordinate is (0,0). Because the…

Q: S(x) 르 arcsin (금x + 1) -3 Let f '(x) = . a Find f' (x) giving your answer in the form TV (bx(x + c)…

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Q: Ginen the point P=(x,y) m 2 -5 la) find the distance r=x²+y2 the origin O = (0,0) to P= (x,y) anor…

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Q: Construct a mathematical (state space) model for the spread of an epidemic disease. Consider the…

A: where, Pt({S, I, R}) denotes the probability that an individual is on one of the states {S, I, R}…

Q: 1. Consider the curve C with parametric equations Sæ(t) = t³ – 3t +1 lu(t) = t(t + 1) defined for t…

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Q: As a result of the water crisis in Lasa, the Lasa Department of Water, with the assistance of their…

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Q: 1 -3 8. Let vi = and v3 = be given vectors in R4. Which of the following vectors is -2 V2 = a linear…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Curve  y=1x  or it can be written asx=1yat x= 2  : y=12=0.5and y=2so       intersection point is y…

Q: Find the amplitude and the equation of the midline of the period function graphed below. 10 -5 10

A: This is a problem of harmonic motion.

Q: Every Boolean algebra (B, tiplication by the formulas a +b- (a A b') V (a' A b), a b a Ab, be B

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Q: Question 4: Homer has simple altruism, but with the following non-linear form: u' (x1, x2) - In(x…

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Q: 10 Dice. a) If you roll three dice (each with six sides numbered 1, 2, 3, 4, 5, and 6), what is the…

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Q: Suppone that fand q ane diffentiable fonctious on IR veh that, Cx+1)f')+ 3x$cx) xe+7x on IR. If f is…

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Q: 9 Sam collects commemorative stamps. Among his favorites are Maria Goeppert Mayer stamps and the new…

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Q: Consider the Cobb-Douglas function f (x1,x2,..,Xn) = x"x i=1 where x; > 0, and a; > 0 for all…

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Q: Suppase thut and such that (x?fH f'x) + 3x F(x) on and It exe If t i frowa Oh frow a

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Q: Let f(r, y) = |r|+ lyl- (a) Draw three r-cuts of f(r, y), three y-cuts of f(x,y), and one z-cut.…

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Q: 4. (a) Show that the divergence theorem holds for the vector field F = 2xî + yz} – 3z²k where o is…

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Q: julian started reading a book with 348 pages. he read 6 pages on each day from monday to friday and…

A: make a table for the pages and week of the days as follows day Monday Tuesday Wednesday Thursday…

Q: 16. Show whether point N lies on or outside the line AB N=(2,1.5,3), B (0,1,2), A (4,2,4) N=(2,2,5)…

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Q: 7. Let C[-7,7] be the vector space of continuous function over [-n, 1] with an inner product 1 (5,9)…

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Q: V9-r² S xydzdydx •3 (d) S So

A: We have to find value of given triple integration

Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1- y/3 – z/10) dx dy dz in the order dz dy dx.

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Q: 2.52 Prove that Ca, b] is a vector space.

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Q: choose the appropriate answer

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Q: A corpus contains the following documents: Doc 1- Nice restaurant" Doc 2 - "Great food Doc 3 -…

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Q: 3. Let An, A, Bn, B be subsets of 2. Show lim sup A, U Bn = lim sup A, U lim sup Bn. n-00 n-00 If A,…

A: 3) let An , A , Bn , B be the subsets of Ω show that limn→∞supAn∪Bn=limn→∞sup An ∪limn→∞supBn if…

Q: View S' as the boundary of the 2-disk D² = {(x, y) E R² | x² + y? < 1}. Fix To E S', and let X = (S'…

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Q: Assume aggregating the inventory in a single warehouse increases the by $45,000. If a CSL of 95% is…

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