Put I, in equ (1) 80 = 61 + 6( 1² + 1) 12 3 -- I = 7amp.

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Q: f(x) = 3 - 2x and g(x) = ln (x - 1) then (image attached) = 1. -2 2. None of these 3. 3 4. 1

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Q: Problem 25. Find the Laurent expansion of f(z) = 1/[2(2-1)(z-2)] in i) 0 < |2|<1 ii) 1<|z| <2 iii) 2…

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Q: Given x = y²+2y 8 - In(y + 1), find the arc length for 0 ≤ y ≤ 3

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Q: T b) Evaluate sin530 de (Take n=7).

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Q: 77 [(8-x1²- (2+x²) ² ]dx 1-2 663.5817

A: let I=π∫-228-x2-2+x22dx since the function is even , integral becomes I=2π∫028-x2-2+x22dx simplify…

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Q: 3. Evaluate Iffa a x dV, S is the tetrahedron bounded by the S planes x+y+3z = 6, x = 0, y = 0 and 2…

A: We have the that S is bounded by the planes : x+y+3z=6x=0y=0z=0 So, from x+y+3z=6 we get z=6-x-y3…

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A: We need to determine , determinant of given matrix ,  B = 3-69-27-2015 Here , det(B) = 3-69-27-2015…

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Q: 5. The von Bertalanffy equation is defined by the ODE W'(t) = aw (t)* -BW (t) where is a constant…

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Q: Using Pappus Theorem, find the volume formed by revolving about the x-axis the area bounded in the…

A: Consider the given parabolas, 2cy-x2=0 and x2-4cy=c2 The graph of the curves in the first quadrant…

Q: √2 2. Consider the polar curves C₁:r = 4 + ³√² cos 0 and C₂: r = 2 - ² cos € as shown in the figure…

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Q: 3. A 2 cm long metal wire with thermal diffusivity ² = 4cm² s¹ is used to conduct heat in a machine…

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Q: Solve the differential equation using inspection method d'y d³y dx5 dx³ = 24.

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Q: 4. Evaluate ryz dV, S is the solid in the first octant S bounded by the cylinders x² + y² = 4 and x²…

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Q: ation and fractions where needed. Enter DNE if the point does not exist.) e: DNE DNE

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Q: Write the system of equations as a single matrix equation: Ax = b 7x1 + 18x2 = b₁ - 2x1 5x2 = [b]…

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A: Let us start solving the problem step by step  Centroid of the solid generated  When x2+y2-2y=0…

Q: Given the polar curves: C₁:r = 2 cos 0 ग 2 A(2,0) C2 B(0,0) C₂:r = 2 cos 30 Find the Cartesian…

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Q: 13. Let A be an invertible n x n matrix. Let E₁, . . . ‚Ek be elementary matrices such that E... E₁A…

A: Since, echlon form of invertible matrix is identity matrix.

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Q: Q5: Consider the following subsets of real plane R²¹ Determine with graph: 1-Arewise connected A=…

A: Here we have a common point in both of the sets. Also thos two sets are individually connected.

Q: Solve the linear system using both gauss-jacobi and gauss-seidel 3x + y = 1 2x + 5y = 6 a. using…

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Q: Mrs. Cruz asked her 30 students who among their mother, father, or sibling will attend the quarterly…

A: Let us consider A , B, C be three sets then  Some Properties of the set theory n(only…

Q: Consider the vec Ř(e) {{cos (1²₂), c² - 2². ²+/-) t# -1 <-1,4,-27, t = 11. (1.) show that I is…

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Q: Finding the Determinants using Elementary Row Operations E = 2 1 3 1 10 11 0210 0 1 23 1 1 -2 -7 0 1…

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Q: f(x) = x3 - 2x2 - 15x + 36 = (3 - x)(12 - x - x2) Find the (a)  intervals on which f  is…

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Q: Find R(t); suppose that it is a differentiable vector function for - 1 with R' (t) = 1²,1 + t²) and…

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Q: 1. What type of ODEs can be solved using power series method? a. Those with constant coefficients.…

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

Q: (f) One of the following 2nd order linear PDEs is elliptic: (A) + 2lay theo (C) 1-2y + ly <<=0 (B) -…

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Q: Given: quadric surface S with equation (y - 3)² 1 (a) Determine and identify the traces of S on each…

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Q: Q3: Use finite difference method to solve Laplace equation in the red (hand written plzzz) domain…

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Q: Show that the map t: V₂(R) → V3(R) defined by t(a, b) = (a + b, a - b, b) is a linear…

A: We have given a map , t : V2R → V3R  defined by ,  ta ,  b = a + b , a - b , b We need to show that…

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A: Given parabola as, x=4y-y2 and y=2x.

Q: Suppose that two nondimensional quantities are exactly A chapter, express the four quantities (A+B),…

A: Given,          A=8.73       3 siginficant figuresB=1.389     4 siginficant figures

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Q: function √x² + y² + 1 x² + y² 2 f(x, y) = 1 if (x, y) = (0,0) 2 2 (x, y) = (0,0). If not, classify…

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Q: 3 ve the nonhomogeneous system tY' = (²2 =²) x + (-²₁) -21). Y (2-2)

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