2. x=9-y², y-axis; about x = 9

Q: C:1: Solve the following I.V.P. using Laplace transformation: y" - 2y - 5y = 5t-100 such that: y…

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Q: The rose r = 3 cos (50) is shown below: 3 -3 Find the area of the region bounded by one loop of the…

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Q: d) Given a and r = -5, calculate S6. 2 e) Given tn = 3tn-1+2 and t4 = (-2), find ts.

A: Solution

Q: Consider the linear transformation T: M₂x2 (R) → M2x2 (R) satisfying 2 1 T = T = T = (9)-3CD-303-3…

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Q: a. Find whether the following graph is Euler Graph or not. If it's an Euler Graph then find out…

A: We need to determine whether the given graph is Eulerian or not. We know that , a connected graph G…

Q: A vector is said to be conservative when it's: curl equal to zero Laplacian equal to zero divergence…

A: We know that ,  A conservative vector field , is a vector field  F  whose line integral  ∫C F·ds…

Q: az"¹)]sin(a @)-¹ + a² az-1)2]sin(a w)₂-¹ + a² az-1)³]sin(a @)²-¹ + a² -(az-1)³]sin

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Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

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Q: Which of the following sequeces in GP will have common ratio 3, where n is an Integer? a) gn = 2n2…

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Q: Simplify a(a+1) (a+b)(a+b+1) a² (a+b)²

A: LCM is an abbreviation for "Least Common Multiple." The smallest number that can be divided by both…

Q: Consider the following. B = {(0, -1, -2), (4, 1, 2), (12, 3, 7)}, B' = {(−3, −2, −6), (2, 1, 3), (2,…

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Q: H) A class contains 10 students, 6 boys and 4 girls. We need to pick 3 students to represent the…

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Q: INTEGRATION OF STANDARD FORMULAS. Note: Please don't use NEED ALSO SOLUTION PER ITEM OR NUMBER. 2.…

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Q: Example 9.16. A light elastic string stretched between two fixed nails 120 cm apart, carries 11…

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Q: 2. Construct the interpolating polynomial of degree 4 using divided difference for the data given…

A: Let us start solving the problem step by step    The value of table for x and y x 0 1 2.5 3…

Q: DIE the solution. оn If ind a) зхун 6 x2y! +12 xy=ex+о I the value

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: 2. A firm uses capital, K, and labor, L, to produce output P according to P = KaL, a, ß are positive…

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Q: Let F be a field and let f(x) be an irreducible polynomial in F[x]. Then f (x) has a multiple root…

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Q: Se²x+lnx² sin x² dx = +fe²x co 2x cos x² dx

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Q: Find a differential equation that corresponds to the given lirection field. Consider differential…

A: Solution :

Q: ds dt dQt dt dP dt = μ-μP-BPS, :-(µ + y) S + BPS + αSQ₁ = = −µQ₁ - αSQ₂ + y(1-0) S.

A: As per the question we are given a population model in terms of dynamic system. And we have to find…

Q: Suppose that f and g are both continuous functions. Also f, g € [a, b] and that f= fg. Prove that 3c…

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Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: Given   Liquid density=9000 N/m3. Equilateral triangle with side 2m. Consider a equilateral triangle…

Q: Use the separation of variables to find, if possible, product solutions (for λ = 0,2 = -a² and 2 =…

A: As per the question we are given a partial differential equation and we have to find its solution…

Q: › affine space (E‚È‚+), let (ai)ie is linearly independent for some i

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Q: 2. Let A € M, (R) be given. (a) If AA = 0n, prove that A = 0₁. Does this hold if A € M₂, (C)? (b)…

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Q: The degree of precision of the following quadrature formula is: Ο 2 Ο 4 Ο 3 Οι Ο Ο Ο Ο 3h 3h Jo"fdx…

A: Given quadrature formula is ∫03hfxdx=3h4f0+3f2h. Let fx=1 then f0=1=f2h. ∫03hfxdx=∫03h1dx=x03h=3h.…

Q: at an average rate of 30% within a squar r of pla th w gordon

A: Average rate per square meter Agro Chemicals  Non-Agro 10000 cm2 10% 30%     Rectangular…

Q: Find general solutions for the given differential equations 6. (x+22³)dx + (y-2y2)dy = 0. 7. y' -…

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Q: how that the union of a finite. number of bounded sets is bounded

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Q: - - 2y = 0, y(0) = a. Let I = (-1,1). Which statement below is NOT true? Consider the equation a (A)…

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Q: Show that the compactness in satability theorem is neccessary.

A: The Stability Theorem fails when X is not compact

Q: Use spherical coordinates to evaluate the integral •√₁-x² √√₁-x²-x² (x² + y² + ²)dzdydx.

A: To evaluate the integral using spherical co-ordinate system :-

Q: 1. Let x, y R" be given. (a) If ||||||y|| = 1 and z-y = 1, show that x = y. (b) If |||| ≤ 1 and y||…

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Q: Solve for x. All final answers must be in Znwhere n is the modulus.   x+ 2 mod 9 ≡ 0

A: We have given that ,  x + 2 mod 9 ≡ 0 We need to find the value of x under modulus 9. We know that…

Q: 2. A firm uses capital, K, and labor, L, to produce output P according to P = KaL, a, 3 are positive…

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Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. x = y² + ²-4,…

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

Q: Find general solutions 17. y" - 4y = -12x² + 6x - 4;

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: Directions: Translate each argument into symbolic form (using the suggested letters) and determine…

A: We need to translate given argument into symbolic form and then we need to determine the validity of…

Q: Find the norm of a and the unit vector u in the direction of if 1 3 x = ||*|| = 13 = = 81 -4 Y ♡

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Q: an ellipse from t

A: In the graph we have graphed an ellipse  x252+y232=1

Q: Let F be a field, then every polynomial of positive degree in F[x] has a splitting field.

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Q: C. Identify each angle without actual measuring 2. 5. 4. 7 A four pairs 3 point c Analyze an L The…

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Q: (1.) Sketch the solid S of integration of the given integral Q. Label its boundaries. a.) Refer to…

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Q: 1. Which of the following has an asymptote and which has a hole? Why? (Hint: Use desmos and look at…

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Q: {(x,y): y=e}; {(x,y):y2e²}; (x,y): xy ≥ 1, x>0, y > 0.

A: This is a question from a real-valued function.

Q: Example 10.23. Given dx = 1.979, evaluate y(1.4) by Adams-Bashforth method. = x²(1 + y) and y(1) =…

A: Problem is solved using Adams-Bashforth Method.

Q: Example 10.17. Apply Runge-Kutta method to find approximate value of y for x = 0.2 in steps of 0.1,.…

A: Probem is solved using runge kutta method.

Q: Example 12.6. A company manufactures two types of cloth, using three different colours of wool. One…

A: Let type A cloth variable is x, let type B cloth variable is y, Maximize Z=5x + 3y  (profit) using…

Q: numbers, then show that Q(√2, √3)= Q(√2+√3)

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