2. Using both trapezoidal and Simpson rule, find the approximate values for the integral SIn(tan x) dx; n = 10

Q: Solve the following ODE in the range [0, 0.2] using h dy y(0) = 2, -t+y=0, dt² = 0.1 with explicit…

A: Given that d2ydt2-t+y=0 with condition y0=2, dydt0=0 Solve using Euler's method when step size is…

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

A: We need to evaluate numerical integral ,  ∫0π2 sin53θdθ   Here , n = 7 We will use  Trapezoidal rule…

Q: Q3: Use finite difference method to solve Laplace equation in the red domain illustrated below. Ax =…

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Q: Solve the non-linear function using NR AND Secant Method. Use 5 decimal values and stop at & S…

A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: Evaluate the following: 2 d. L-¹1- + S-3 3s-5 Th

A: Since  you have posted a multiple  question according to guildlines I will solve first  (d) question…

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

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Q: Let V be n-dimensional vector space over c en for any n scalars ₁, ... , E F there-

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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: Find the x and y-intercepts of x² -8x+y+7=0.

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

Q: ● Considering R(t) is a differentiable vector function for t > -1 with R' (t) = (₁+₁'11²,1 + t²) and…

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Q: 2. Find the inverse of A = == CN 2 1 -1 3 - -1 2 2 22 12 3 2 using Gauss-Jordan method.

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Q: For every real m x n matriz mx m) and a diagonal m x n matriz

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Q: 4. Evaluate the following integral fel e(-²²-25) dt

A: Note:-  ∫ e-x2 dx=π2 erfx +C   Given integral is ∫0∞ e-t2-254t2 dt

Q: Identify the length of the curve 1X = ²+2y — In(y + 1), for 0 ≤ y ≤ 2. - 8

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Q: 1. C₁ (0) 2³ e-1/² dz

A: Follow the steps.

Q: 3. Let 7 and w be vectors such that 7= (2,2, -1), ||w|| = √2, 7-3, and x = (2,-1, 2). a. If u =…

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Q: x² A quadric surface is defined by the equation: + 3y² = 3 + z 3 1. Solve the equation of the traces…

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Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂: r=2-2 sin (in red) and let R be the…

A: Consider the given polar curves, C1:r=3 and C2: r=2-2sinθ

Q: Apply the techniques of Example 7.1.5 to the evaluation of the improper integral 8 dx 1 = (a) Let…

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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, x2=2py and 4py-p2-x2=0 The graph will be, The Pappus theorem states…

Q: Find the volume generated by revolving the area bounded by x². - 4x - 4y + 4 = 0 and y = 1 about the…

A: We will find point of intersection of curves and line to find region bounded , and then rotate it…

Q: Let f be a function which has an inverse and let f(-1) = 2. If Q is the surface of revolution…

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Q: 3. Consider the points K (-1,0,7) and M(1, -2,5), the vector MN = (1,4, -3) and the li symmetric…

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Q: het Ley) = y(4) + y (3) _ 7 y (2) _y (¹) al solve: Lys = 36t-24et > b) solve: hy)= 36t-24et 2.2t c)…

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

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Q: Given: planes II₁: 2x - 5y + z = -1 and II₂ : x + 5y + z = 5 intersecting on a line l (a) Compute…

A: Given: Planes π1:2x-5y+z=-1 and π2:x+5y+z=5 intersecting on a line l.

Q: (b) One of the following is NOT a second order PDE: (A) Uz Uyy + Uzy=0 (C) (U₂)² -Uz Uy = 0 (B)…

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Q: solve: x= 3x+y+z+1-3€ -4²-4³ g' = 2x+4y +az-4t²-at² Lz'= x+y +3z + 121²-3³ 9 Hint: (x₁4₁)= (t.t²,…

A: Actually given hints is the particular solution, although i deduce this by undetermined coefficients…

Q: Consider the polar curves C₁ : r = 3 (in blue) and C₂: r = 2-2 sin 0 (in red) and let R be the…

A: If f is continuous and non negative on the interval α≤θ≤β with 0&lt;β−α≤2π. Then area of the region…

Q: Consider the following sets: A = {1,3,5,7,9, B, D, F), B = {0,3,6,9, C, F) and C= (0, 2, 4, 6, 8, A,…

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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…

Q: You are given u and a span of vectors. In the first box, enter 1, 2, or 3 to describe which of the…

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Q: 5. Find all the solutions of the system below. 1 • (-) = -(+) a. y C 0 b. (+1) = c(-¹) y C -1 1 1 2…

A: 1211-11212xyz=000

Q: is an R-module homomorphism snomorphism if and only if k

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Q: The total area bounded by the curve y = f(x) and the x- axis on the interval [-3, 3], which area…

A: Solution

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

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Q: Consider the vector-valued function R(t) = a. Find the domain of R. b. Determine if R is continuous…

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Q: d'y d³y - dx5 dx3 = 24.

A: Solution :-

Q: +siny+x

A: Side View

Q: Let A be an n x n symmetric matrix, R be an n xm matrix such that with m ≤n), and let B = R¹ AR (an…

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Q: Find the volume of the solid generated by the region bounded by y - x² = -3,x+y = 3 about y = -5.

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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: Solve the nonhomogeneous system tY': = - (²-2) ₂ Y+ (1-2₁).

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Q: The general solution for the linear homogeneous system depends only on the free variables and there…

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Q: Consider the points K (−1, 0, 7) and M(1, −2, 5), the vector MN = (1, 4, −3), and the line  I with…

A: We have to solve given problems:

Q: 4. Consider bit strings with lenght 1 and weight k (so strings of 1 0's and 1's, including k 1's).…

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Q: Solve this problem. Show your complete answer with a graph in a given-required-solution format…

A: Here follow the graph of the region bounded.

Q: The function y(x) satisfies the inhomogeneous second order linear differential equation d²y dy dx²…

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Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan x)…

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