Sketch the region corresponding to the double integral 1+√3 1-y² √ dx dy and reverse the order of integration (Do not evaluate the integral !). Mobec

Q: a) Suppose that A and B are 4 x 4 matrices, det(A) = 2 and det((3ATB)-¹) = . Calculate det(B). b)…

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: If a subadditive functional p on a normed space X is continuous at 0 and p(0) = 0, show that p is…

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Q: 5. Solve the problem kuxx = xt, u(x,0) = 0, u₁(x,0) = e, Utt - kuxx -∞ 0 ∞ < x < ∞ ∞<x<∞ -

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Q: Solve the initial value problem. dy = x²(y-6), y(0) = 9 dx The solution is (Type an implicit…

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Q: 1₁ : [x, y, z]=[7,2,-6] + k[2,1,−3], k = R 1₂:[x, y, z] [3,9,13]+[1,5,5, ],t = R

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Q: Solve the equation using Reduction of Order y" -y = 2et Oy=c₁e¹ + c₂xet + e* (x + c3e-²x + C4)…

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Q: Draw a direction field for the given differential equation. Based on the direction field, determine…

A: Given,y' =y(y-6)2 At equilibrium points y' =0⇒y(y-6)2 =0 ⇒y =0 , 6thus, y =0 and y =6 are…

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A: Here in the given problem, we have to calculate (x+h)3 this can be done by applying direct identity…

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Q: es. If the individual course and the  order in which the courses are selected does not matter, then…

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Q: GIVEN THE FOLLOWING MATRICES 5 -2 -4 2 3 2 4 E = -4 -4 0 4 -3 3 FIND THE FOLLOWING 1. (1,2) entry of…

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Q: 500 e demand function P(x)=- 0.01x 50 How many accessories must be

A: Given as, Px=5000.01x2+1 , 0≤x≤50.

Q: II. SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y²…

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Q: Exercise 25.7.1. Give the Taylor series of the function 1 f(x) := 3x² around the point c = 1 and…

A: Solution: Taylor series of a function f(x) at x=a defined as,…

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A: Given, Three dice are rolled. Sample space: n(s)=63=6×6×6=216 Thus, the sample space of three dice…

Q: I. 4. Evaluate each determinant. 2 -5 2 -1

A: We know,    |      a11   a12   |    |      a21    a22  | = a11a22 - a12a21 here determinant sign is…

Q: Secant method converges faster than Regula Falsi method. A. True B. False ??

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Q: 1. Solve the following partial differential equations by direct partial integration. (i) = 4ty [u=…

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Q: Find the solution of the given initial value problem in explicit form. 70 sin(2x) dx + cos(7y) dy =…

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Q: we the following problem. Upload your plete and organized solutions. Given the following vectors:…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Solve the equation (D² - 3D + 2) y = 2x² + 1 Oy=c₁e² Oy=c₁e* + c₂e² + 3 + 4x + 5x² + c₂e²x + 4 + 3x…

A: Solving the differential equation below

Q: Determine the values of r for which the differential equation y" + 7y +12y = 0 has solutions of the…

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Q: Six₁ - ix₂ = −2 2x₁ + x₂ = i x2

A: First we will write the given system in a matrix form then we will find the inverse of the…

Q: Q1. Solve the below two questions (i and ii). i. Mohamed had AED 14,000 in credit card debt when he…

A: Solution : (I) Let the balance after n months will be, =xn Now for month after will a increase by 2%…

Q: = —y (2 — y). Draw a direction field for the differential equation y' : Based on the direction…

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Q: d) [28: 16, 8, 4, 1] 01 30 02 50.00 03 25 04 0 X x x

A: Given: The weighted voting system; 28:16,8,4,1.   To determine: The Shapely-Shubik Power…

Q: II. SET-UP a triple integral that will solve for the volume inside the sphere x² + y² + z² = 2z and…

A: According to the given surfaces, x2+y2+z2=2z and x2+y2=zThe limits for y is from 2z-z2-x2   to…

Q: Solve the given differential equation. All solutions should be found. (10y⁹ + 2x³y) dx − (9xy³ + x²)…

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Q: For each positive integer n, let Monotone Convergence Theorem. (2n)! Show the sequence +00 converges…

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Q: about this lesson. In this section, you will be given tasks to showcase your skills and knowledge…

A: Exponents: The exponential form is written as ab, where b is a natural number. The number a is…

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Q: 1. Rotation 180° clockwise about the origin 3 A D 1 J - X

A: Start from the origin, move p units to the right along the x axis and q units up along the y axis to…

Q: s] Set up only a triple integral that will give the following: (a) the volume of R using cylindrical…

A: We will use relation between cartesian and cylindrical co ordinate system to get integral  x= r cosθ…

Q: ∞o ∞ Suppose an >0 and a diverges. Prove that n = 1 n=1 ∞ an an contrary suppose Σ converges, then I…

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Q: Find the solution of the given initial value problem. ty' + 3y = t² − t +7, y(1) = 6, t>0

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Q: In a vector space V, prove that Ov=0 for all v € V. Let u = (1, 2, -1), v = (6,4,2) € R³. 5.1 Write…

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Q: 4 What is the inverse of F(x) = 4x-12? |a₁ y = ₁17-12 b.y = = (x+12) (₁y ==—=— (x+12) d.y= = 7…

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Q: dy Write down a differential equation of the form dt solutions all approach y = as t- →8. y' = = 78…

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Q: Find the line integral of F = 2√√zi-4xj + 3√yk, from (0,0,0) to (1,1,1) over each of the following…

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Q: Q.2 Evaluate t*e2t

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Q: A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 6 of…

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Q: Directions: Translate each argument into symbolic form (using the suggested letters) and determine…

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Q: 2x₁6x₂x3 = -38 Given the linear system -3x₁-x₂+7x₂=-34 -8x₁+x₂-2x3 = -20 , determine the values of…

A: 2x1- 6x2 -x3 = -38-3x1-x2+7x3 = -34-8x1 +x2 -2x3 =-20 We take x1=a,  x2=b,  x3=c for our convenience…

Q: 26. *2# 70 x² sin x dx

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Q: Give a recursive definition of the sequence {an}, n = 1, 2,... if: a. an=4n-2 b. an=1+ (-1)"

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Q: Find the volume of the region bounded above by the plane f(x,y) = 2x + 3y +7 and below by the…

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Q: Determine whether the set {P1, P2, P3} is linearly independent in P2, where p₁ = 2+x+3x² + 4x³, p₂ =…

A: Let V be a vector space . let v1,v2.....vn ∈V are linearly independent iff c1a1+c2a2+...+cnan=0…

Q: Simplify. Write "undefined" for expressions that are undefined. -2 -4 6 S -3 Now +

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Q: 1)Determine whether the Fourier series of the following functions converge uniformly or not.  f(x)…

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