Approximate the definite integral using the Trapezoldal Rule and Simpson's Rule with n = 4. Compare these results your answers to four decimal places.) Live Trapezoldal Simpson's graphing utility Need Help? sin sin(x) dx

Q: A lamina occupies the part of the disk x² + y² ≤ 9 in the first quadrant. Find its center of mass if…

A: We have to find the center of mass of the disk  in the first quadrant and the density is…

Q: 1. For the following differential equation: 1 cos(3x) d'y dr² +9y 15x +7+e™ a. Find the general…

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Q: Let B = {b₁,b₂,b3} be a basis for vector space V. Let T: V→ V be a linear transformation with the…

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Q: The boundary of a lamina consists of the semicircles y = √√1-x² and y = √√36x² together with the…

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Q: ) You are given an array A of n rows and m columns where each cell contains a non- e integer (of…

A: We are given an array A of n rows and m columns where each cell contains a non- negative integer (of…

Q: Maximize P = x1 +52 subject to the constraints A = D = After a few rounds of pivoting, the final…

A: Maximize subjected to constrain

Q: 1. Solve the given system of linear inequalities. 3x ≥ y 2x-2y24 x+2y ≤14 Solution:

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Q: 8.2 A number of matrices are defined as 4 57 2 4 3 7 [B] 1 2 6 20 4 [A] = (C)= 56 543 --[3] [2 [D] =…

A: You have posted multiple questions with multiple subparts.as per our Q&A guidelines we can only…

Q: Find the solution to the initial value problem. z'' (x) + z(x) = 5e¯X; z(0) = 0, z'(0) = 0 -0. The…

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Q: You want to buy a car that costs $15,000.  You pay $3000 in cash and then borrow the rest at 2.9%…

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Q: Stokes' Theorem Consider the vector field F= yi+azj + zk. Let S be the trianglular region cut from…

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Q: Knowing that the general solution of a linear ordinary differential of the form: Y'(x) + P(x)Y=Q(x)…

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Q: In each of Problems 1 through 3, determine "(xo), ""(xo), and (4)(xo) for the given point xo if y =…

A: Given initial value problem is  ;  y(0)=a0 , =a1We have to determine  For the given point x0 if…

Q: 43. If 1,a, r = 1,2,....8 be 9th roots of unity, then Σ r=1 a A) 0 C) 1 B)-1 D) none of these

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Q: Solve the given minimization problem. Minimize: M = 8x+5y Subject to: x+2y≥6 y + 2x≥6 x≥1 y21

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Q: Solve (using pen and paper) a system of linear algebraic equations AX = B using Gauss elimination…

A: Solution:Given: we have to solve the given system of algebraic equations by using Gauss elimination…

Q: How did you get the (100+t)^4 at the end of step 4? im doing everything I can to get the same answer…

A: since,V(t) as the volume of water in the tank at time t (in liters)and concentration at time  is and…

Q: C. Evaluate z³e¹/2 dz where C is lz-2| = 1 C. Evaluate $c COSZ dz where Cis |z| = 4.5

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Q: Show that ADEF is a dilation of ABC by finding the center of dilation and the scale factor. You can…

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Q: To test this series for convergence n5 +2n4-2 5n8 +n7 -2 n=1 You could use the Limit Comparison…

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Q: In each of Problems 1 through 3, determine "(x), o"(xo), and 6 (4) (xo) for the given point xo if y…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Q3. Solve the following system of nonlinear equations by Simple Iteration Method with accuracy € =…

A: Given system of equations:  Objective: Solve the system of equations using the Simple Iteration…

Q: Use row reduction to find all solutions of the linear system of equations: 3x+y+z=2 2x2y+3z = 9…

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Q: Find the indicated limit lim √9x-5 X-8

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Q: 21. y" + x²y' + xy = 0 23. (x − 1)y"″ + y' = 0

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Q: The temperature at a point (x, y, z) is given by e-x²-3y²-72² T(x, y, z) = 400e where T is measured…

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Q: A survey of 150150 freshmen business students at a local university produced the results listed…

A: A survey of 150150 freshmen business students at a local university produced the results listed…

Q: The Taylor series of the function f(x)=₁x about the point x=2 is a)_ƒ(x)=[(-1)"(x-2)**² PF0 b) ƒ (x)…

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Q: (a) Prove or disprove: f: Z3 → Z5 : x (b) Prove or disprove: f: Z10 → Z20 : x x³ (mod 5) is…

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Q: ((7), h) () (5) -(82) - ((7),

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Q: ZdZ 2³-32-2 (B) Find Contour integral 1. The circle |Z| = 1. 2. The ellipse 4X² +9y² = 36. " where e…

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Q: Give the Dedekind cuts in R20 corresponding to the following. Your definition should not refer to…

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Q: Find the general solution of * 2 y' - - 9 t2 1+ t²⁹ t > 0.

A: We have to solve the following differential equation :  y' - y =  , t > 0 .

Q: Giving a test to a group of students, the grades and gender are summarized below C Total A B Male 4…

A: Let M be the event of a MALE student being chosen and C be the event of the student's grade is C.The…

Q: q1.4 a box is made out of the following vectors u = v = w= determine the volume of the box that…

A: The box is made out of the following vectorsNote : According to the guidelines we are allowed to…

Q: (b) Find the adjacency matrix for the following directed graph: C es €6 37 €3 V2

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Q: Use the Gram-Schmidt process to produce an orthogonal basis for the column space of matrix A. An…

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Q: An orthogonal basis for A, 10 2 - 6 16 2 with the given orthogonal basis. - 2 4 0 10 10 16 -148 -4…

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Q: Use Green's Theorem to evaluate 1.³ where F = (√x + 6y, 2x + √ÿ) C consists of the arc of the curve…

A: Given

Q: A 150-galon tank initially contains 30 gal of pure water. Salt water solution containing 1.5 lb of…

A: A 150-galon tank initially contains 30 gal of pure water. Salt water solution containing 1.5 lb of…

Q: 3. Solve the given minimization problem. Minimize: M = 8x+5y Subject to: x + 2y ≥6 y + 2x ≥6 x ≥ 1…

A: Minimize Subjected to :

Q: Question 2. Sketch the graph of a function f(x) defined for all x € R that satisfies all of the…

A: The graph is as follows

Q: e is irrational.

A: Given that (a) Let  the n-th partial sum of the series.We have to show that   Now, consider Since,…

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 80,000 + 300x. (A) Find…

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Q: Consider the following piece of pseudocode: function Thing(n) if n <3 then return 1 end if new Stack…

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Q: 9) 2₂ (a) Find all complex numbers zo such that f(z) is differentiable at zo? (b) For every zo where…

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Q: The owners of a discount motel chain are considering building a new motel. Optimistic, pessimistic,…

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Q: Find the slopes for the direction field at the specified points. Enter DNE if the answer is not…

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Q: A particle starts by moving to the right along a horizontal line; the graph of its position function…

A: Velocity is a vector quantity that measures the rate at which an object changes its position. It…

Q: Find the general solution of y" + 6y' + 13y = 20e-2t sin t.

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