Find the Wronskian of a given set {yı, y2} of solutions of 7. (1 x2)y"-2xy' (a 1)y0, _

Q: (In x)* Integrate: 1

A: Given,            ∫1eln x4xdx

Q: is intea rable Primitive aR 2 > X 3 1 2. 1 ラメラ 。 (今さ うx 31 ラ× %3D >入う。

A: we have Fx=0            0≤x<12x-1    1≤x≤2and fx=1     0≤x≤12    1≤x≤2 i The primitive of a…

Q: Find inverse Z-transform 1+- X(z) = (1 - -)*

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Q: For the equation uxx + uyy = 0, write the necessary equations which can be used to solve the…

A: The Laplace Equation: ∇2U=∂2U∂x2+∂2U∂y2=0   ⋯1…

Q: 2) Sove the integraul of funetior7 x* by smpsofts rule wher ne 6 and (1,3).

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Q: Find the indefinite integral: 10sin 3x - 15 cos 2x + 6 e5x + C O 90sin 3x -60 cos 2x + 150 e5x + C…

A: 30∫cos3x+sin2x+e5xdx=30· ∫cos3xdx+∫sin2xdx+∫ e5xdx=30·…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 22dx S 2 x²-1

A: This question is based on indefinite integral using partial fraction.

Q: Find both first partial derivatives. Z = In az %3D ax az ду

A: ∂z/∂x = 1/x    ∂z/∂y= -1/y

Q: Find both first partial derivatives. %3D az ax az ây

A: Solution is given below:

Q: Find the smallest positive root by using the false position method V fEx)=x^2-6x-x^3+2 \) with two…

A: False root method: for given f(x) root=x2=x0-f(x0)⋅x1-x0f(x1)-f(x0)

Q: Find the integral durtace of the partial dlifferential eggaation

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Q: Let 1-ff Sysin(r' dvdy . By reversing the order of integration of 1,

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Q: 3dz 1. S 4-5z

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Q: Use the error bound to find a value of N for which Error(TN) ≤ 10−6. If you have a computer algebra…

A: ∫251xdx

Q: Find both first partial derivatives. z = exy az ax dz II

A: topic - partial derivatives

Q: Evaluate the indefinite integral S(z -9-dz 를-9z + 듣 +C 4x4 중-9z + + C 222 - 9x + 7lnx³ + C - 7 9x -…

A: First we write each term using exponent

Q: Find both first partial derivatives. z = 14y2Vx az ax az ду || ||

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Q: Compute the partial derivatives: 6x dz az dy

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Q: Find both first partial derivatives. z = 13xy az az ду II

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Q: Compute the first partial derivatives for : p = (t^4 + u^2 cos(v)) <---sq root o

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Q: Find both first partial derivatives. 5xVy %3D az az ду

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Q: Find the indefinite integral: O 10sin 3x - 20 cos 2x +6 e5x + C 90sin 3x 60 cos 2x + 150 e5x + C…

A: The objective is to find the indefinite integral.

Q: How many days would a 67-unit construction activity lasts if this activity have a parameter of…

A: The activity has a parameter of 0.9 man hours per unit.To Find: In how many days the activity will…

Q: Find both first partial derivatives. z= exy az ax az ду

A: Explanation of the answer is as follows

Q: nsist only of of even length. Generalize to find the EGF number of ations that consist only of…

A: To find: (1) The EGF for the number of permutations that consist only of cycles of even length.…

Q: Find all the second partial derivatives. v = sin(3s2 - 4t2) V st Vts Vtt II II

A: As per the guidelines we can solve 3 parts only

Q: Find both first partial derivatives. z = exy az ax az %3D ду 11

A: This question is related to partial differentiation, we will solve it using given information.

Q: Let C be the shortest path that connects t to ni and I = S. (coshz + 1)dz. Then I=0 1--sinh π+…

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Q: Explain Bessel equation and Prove that 2 (n + 4)Jn+4x (i) (ii) In+3X + Jn+5X = 4J"n = Jn-2 – 2Jn +…

A: The objective is to explain Bessel equation and prove that  (i) Jn+3x+Jn+5x=2xn+4Jn+4x (ii)…

Q: Find both first partial derivatives. z 13XVY az az ду

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Q: Find both first partial derivatives. Z = 13xVy az %3D az %3D ay

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Q: 2 5 6z³ -8z¹+2z² 4 Z dz

A:

Q: Find both first partial derivatives. z = 9xVy az az ду || ||

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Q: Compute the partial derivatives: ,2 z = In(x² + y³) az dy

A: Use partial derivative

Q: . Show that it is possible to solve u and v from: xyu + xy2uv2 = 2  and  x2yvu4 + yu3v2 = 2, in…

A: Given: xyu + xy2uv2 = 2  and  x2yvu4 + yu3v2 = 2 To show that we can solve for u &amp; v in terms of…

Q: Use forward, backward and centered difference approximations to estimate the first derivate of: tx)…

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Q: find the product of the integral 1- Sn) xy evx² dydx

A: To evaluate the double integral, first find the integral ∫0ln7yex2ydy. Consider the substitution…

Q: Show that A and AT have the same nonzero singular values. How are their singular value…

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Q: Evaluate the line integral S. 4x²ds, where C is the line segment from (-2, –1) to (0,–1) followed by…

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Q: Let C be the shortest path that connects 7 to ni and I = f. (coshz + 1)dz. Then --sinh π+ π(1- )…

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Q: Find both first partial derivatives. z = 3xVy az ax az ду || ||

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Q: Mroset Whiteboard EX2: 3リ-17

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Q: Find both first partial derivatives. z = In() az дх az ду ||

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Q: Let – 4x – 2y – 5z* – 4xyz + 619 = 0. az Use partial derivatives to calculate dz at the point (6, 5,…

A: let -4x3-2y3-5z3-4xyz+619=0 to calculate  ∂z∂x and ∂z∂y at the point 6,5,-3

Q: Find both first partial derivatives. z = exy az ax az ду

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Q: 1 Integrate 1+25cosx

A: To evaluate: ∫11+25cosxdx Let, I=∫11+25cosxdx Since, we know that cosx= 1-tan2x21+tan2x2…

Q: Find both first partial derivatives in) z = az az ду

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Q: Find both first partial derivatives. Z = In az az %3D ду

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Q: Express the integrand as asum of partial fractions and evaluate integral. 6x2 + x + 25 dx tx2 + 5)(x…

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Q: Evaluate the integral: –(9z²+7x) dr %3D (1-1)(z+1)²

A: Given :∫-(9x2+7x)(x-1)(x+1)2dx