ind the Wronskian of: 18x - 6 18x + 6 6x - 18 6x + 18 f₁ = x² - 6x f₂ = x² + 6x f3=x²-3

Q: Consider the differential equations dx dr = 4x+y+z 2x + 5y + 4z dr dz = -x-y dr Show that if it is…

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Q: Let b₁ 2 = sin−¹ (²) and c, = sin-¹ („²7) for all n € N such that n ≥ 2 +00 Σ(1+bn) n=2 Σ(bn-Cn) n=2…

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Q: Evaluate the integral: S/2 Se S77/2 S¹² sin (=) dt du π/2

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Q: There is an inaccuracy in the following table of a low degree polynomial p(x). x p(x) 0.0 0.000 0.1…

A: The relationship between the data points can be observed using a difference table. Make Newton's…

Q: 5. If Evaluate the following. (a) F' (9) (b) F (0), by interpreting F (0) as an area F(x) = √25 - 1²…

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Q: For each of the differential equation determine the order of the equation and if the equation is…

A: Order of differential equation is the order of highest derivative in differential equation     a…

Q: Let R be the region in the first quadrant bounded by x = = 1, (x − 2)² + y² = 1, and x² + y² = 4.…

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Q: 4 The area of the surface S = {(x, y, z) € R³ : z — 5 — z² - y², z ≥ 3} equals (A) 4T (B) (C) (D)…

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Q: 02u 0t2 = аг 02u ?x2

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Q: Let (an) be a numerical sequence such that lim |an|¹/n = 7-8 ∞ gence of the series 5a," is (A) 83…

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Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

A: Solution is given by using the disc method. In this method first we convert f(x) into f(y) and then…

Q: {"₁ = [-²] * 1. Consider the basis B = -3 2 be the coordinate map for the basis B. (a) Find the…

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Q: Set up the triple integral that will give the following: the volume of the solid B that lies above…

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Q: Evaluate: ₂₁₁ (4x²yz - 7) dz dy dx

A: The given integral is                 ∫23∫-14∫104x2yz-z44dz dy dx

Q: Find the area of the region bounded by x = and the y-axis using the horizontal strip. 2y²+1

A: Given curves are x=42y2+1 and y-axis.

Q: ay Problem 48. Consider the differential equation dx x= x² - y, where y = 4 at x=0. Use RK4 method…

A: u =        4            653/166       2561/662       1343/353       4112/1099      3286/893…

Q: A hemispherical tank of radius 6 feet is positioned as in the figure below. How much work is…

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Q: iterated de the hyper

A: Volume enclosed by hyperboloid z=1+x22+y22 under the plane

Q: f₁ = x² - 6x f₂ = x² + 6x f3=x²-3

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Q: Evaluate the integral: -2е π/3 ₁²/³t In u tan s 't ln u tans ds du dt

A: ∫-10∫e2e∫0π/3 t lnu tans ds du dt  = ∫-10 t dt × ∫e2e lnu du × ∫0π/3 tans ds  = (t2/2)|-10 × (u×lnu…

Q: Evaluate: 2²₁₁ (4x²yz - ) dz dy dx

A: evaluate  I=∫23∫-14∫104x2yz-z44dz dy dx integrate the function I=∫23∫-142x2yz2-z52010 dy dx…

Q: orward step siz

A: Solution: y=f(x)=sin(0.5x)x

Q: x ди ?х ди ду =u+y.

A: Separation of variables

Q: II. Solve the non-linear equation: 1.) x2 - xy + 2y2 = 16 x - y = 2

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Q: Determine the general solution of y" + y = tanx using variation of parameters

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Q: Suppose 3.141516 is estimated using 3.141529. The relative error is (Answer must be in 7 decimal…

A: Let Xt be the true value and Xa be the approximate value of a number . Then the relative error is…

Q: 24. A point is moving along a curve that is given as: R(!) = (cos 3!)i + (sin 31) j + (31)k. Find:…

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Q: Determine whether the statement is true or false.   b) The set of all ordered triples (x, y, z) of…

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Q: Consider the function f(x) = cos x - 3x + 1. Since f (0)ƒ () <0. f(x) has a root [] If we use secant…

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Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

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Q: Consider the function f(x) = cos x - - 3x + 1. Since ƒ (0)ƒ (=) < 0, f(x) has a root in [0, 1]. If…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ(0)ƒ (=) < 0, f(x) has a root in [0]. If we use…

A: Given ,               f(x) = cosx-3x+1 has a root in 0 , π2  and if  x0= 0.5 and  x1=0.6 . In Secant…

Q: FIND Y(S) OF THE GIVEN EQUATION. 2y" + 3y' – 2y = te-2, y(0)=0 y (0) = -2 y" - 10y' +9y = 5t, y(0) =…

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Q: 3. Consider the 'pringle' surface S (see Figure 1) which is part of the graph z=ry inside the…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, f (x) has a root in [0]. If we…

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Q: =} = (² S +4)² = cos t} = se

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Q: 5. Use Cartesian coordinates to evaluate SSS ³ y² dv where D is the tetrahedron in the first octant…

A: We have to Use Cartesian coordinates to evaluate given integral  where D is the tetrahedron in the…

Q: Q1\ A\ Define and give an examples with its solutions for the following terms: (1) Strongly…

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Q: 3. Find the area of the region bounded by the curves y = 1 (x+1)2/ the x-axis using vertical strip.…

A: Solution :

Q: 4. The shell of a spacecraft (see Figure 2) is a union of two surfaces : • S₁ is part of 2² + 4y² +…

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Q: Find the common area enclosed by the polar curves r = 3-2 cose and r = 2. Zoom image 26.38 13.19…

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Q: Option 1 ……... x² + 3 x² + 1

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Q: Determine the total solution of the differential equation (D²+8D+16)y = 64cos4x.

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Q: Q5. Use Lagrange Multiplier to find the minimum distance between the origin and the line (x=51 +3, y…

A: Solution :

Q: Determine the order of the given differential equation and state whether the equation is linear or…

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Q: Solve the following systems of linear equations via matrix algebra: –3x + 2y – z = –1 6x – 6y + 7z…

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Q: ә2u at² д2u дх2 = a2.

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Q: Evaluate ¬⇒(PV¬q) if p and r are True and q is False. Select one: O True O False Tim

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Q: Find the area of the region bounded by the curves y= (x+8)2 y = 4 and the x-axis using vertical…

A: Consider the given curves, y=1x+82 and y=4 so, the region can be drawn as, it can observed that the…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ (x) has a root in [o,]. If we…

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