Find the smallest integer greater than 100 that is divisible by 3 but leaves the reminder 1,5 when divided by 4 and 7 respectively

Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+-+ +.. 4 16

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Q: 1) Solve the problem. 1) A water tank is shaped like an inverted cone with height 18 m and base…

A: Please see the attachment

Q: State the order of the given ordinary differential equation. (1-x)y" - 4xy' + 8y = cos x Determine…

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Q: B: Solve the following differential equation by Laplace: + + 2x + 5y = e-¹ sint dx² dx ,y(0) = 0,…

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Q: Direction Fields Plotting Direction fields can be done using the function quiver quiver Quiver plot.…

A: Let us start solving the problem step by step    Let us write the matlab code for item 1 first then…

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A: Application of derivatives.

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Q: Q4/ Find a root by using Bisection method, lying between 0 and 0.5 with error 4% ,the equation 4e*…

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Q: Find the z-coordinate of the centre of mass for solid G where G is the solid in the first octant…

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Q: 55 separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: Let A = ({0} ∪ {x | x ∈ ℤ+and x < 4}), B = {0, 1, 3, 5, 7}, and C = ({0} ∪{x | x ∈ ℤ+and x is even…

A: Since you have posted a multi subparts question according to guildlines I will solve first(a,b,c)…

Q: Solve the equation by the method o f linear differential equations dx (1-3xy) y² dy xy³ = ² + C yx³…

A: The given problem is to solve the given ordinary differential equation by the method of linear…

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Q: Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

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Q: In some country, 90% of the daughters of working women also work and 20% of the daughters of…

A: Two matrices can only be multiplied, if the number of columns of the multiplicand matrix is equal to…

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: Which triangle is similar to triangle XYZ?

A: We say two triangles are similar if they have the same shape but size may not be the same. i.e. the…

Q: 04: A group of 30 manufactured of concrete pipes contain 8 defective pipes and 22 non-defective…

A: Given: A group of 30 manufactured pipes contains 8 defective and 22 non-defective pipes. A sample of…

Q: If 2x³ - 4x² + x + 1 = 0 so x = 4x² - 2x³ - 1 then |x5-x4] < €, X4 = 1.36603, x5 = 1.366024, is the…

A: As per the question we are given an equation and the approx root after 4th and 5th iteration of the…

Q: Q2/ A: Use Lagrange Interpolation Polynomials' to determine the relationship between the velocity of…

A: Sol. Let time(s)=x  And velocity (m/s)=y=f(x).  And to find y(100)

Q: 1) 2 ·(xdy + ydx) X ydx) = (5- xy) dx

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Q: B: Solve the following differential equation by Laplace: 2 + 2x + 5y = e-¹ sint et ,y(0) = 0, (0) =…

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Q: Problem 2. Determine the particular solu- d²y tion of the equation dy -37=9, given the dx dx²…

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Q: Consider the solid that lies below the surface z = xy and above the following rectangle. R = {(x, y)…

A: Using midpoint rule volume will be equal to  V=A∑fa,bWhere A= Area of each rectanglea,b are centers…

Q: Calculate Sxe 0 re-L₂ (x)L(x)dr by using Recurrence relation of Laguerre function, Ln

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Q: = A. Determine is the following series converged or not and find sum of it 3 3 3+ + +... 4 16

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Q: 10. A bank password consists of four letters of the Roman characters (small and capital letters)…

A: Password are  almost always case sensitive, for a given letter there are 26×2=52 possibilities…

Q: A pipeline needs to be built near a lake. There are two options: build the pipe around the lake in…

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Q: kx₁ + x₂ + x3 = 1 x₁ + kx₂ + x3 = 1 x₁ + x₂ + kx3 = 1

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Q: Find Z-transform and ROC f x(n) = {1,2,−1,2,−1}

A: Given that: xn=1,2,-1,2,-1 The objective is to determine Z-transform and ROC. Let consider,…

Q: x^3 - 1,2x^2 - 8,19x + 13,23 = 0 has a double root close to 2. Determine the root of this function…

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

Q: 2. Let p,q and r be the propositions p: Grizzly bears have been seen in the area. q: Hiking is safe…

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Q: B: Solve the following equations by Jacobi Iteration Method. 8 X₁ + X₂ X3 = 8 - X₁ - 7 X₂ + 2X3 = -4…

A: We Know that  Jacobi Iteration method is an iterative algorithm for determining the solutions of a…

Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

A: Given that the plane x+y+z=2, 2x+3y+z=2 and x+y≤1, x≥0, y≥0

Q: Create a diagram for the premises of the argument. Label each part of the diagram clearly. Then…

A: Let p = she lost the bet. q = she was late. Then the argument "Premise: If she lost the bet, then…

Q: Q3:A. Determine the following function U is harmonic or not U = 3 + x y cos: cos sin

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Q: 1. Using Gauss-Elimination method and Gauss Jordan method, solve the system: 3.15x1.96y +3.85z =…

A: Gauss elimination

Q: . Evaluate (x² + y) dv G if G is the solid bounded by the parabolic cylinder z = y², xy-plane and…

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Q: Make up the derivation of Eq. (8.4) Wrect (@p) +2 ΣWrect(t)e-ipt = e-ipT(N-1)/2N sin(@pT/2)…

A: As per the question we are given the expression for DFT of the rectangular window function wrect(tk)…

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A: Introduction: Exponential growth may be an information pattern that illustrates a rise over time by…

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A: Any point on the Cartesian coordinate system can be represented by the ordered pair: x, y. We need…

Q: B. find polar form of the complex number z = (2√3-41)+(-√3+ 5i).

A: The complex number z=x+iy in the form of polar co-ordinate z=rcost+i rsint Where r=x2+y2

Q: Show that for any real number x and a subset A of R, exactly one of the following holds: (a) x is an…

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Q: 4. Evaluate III #V 1 √x² + y² dv G where G is a solid that lies inside the cylinder x² + (y-2)² = 4,…

A: Please see the attachment

Q: -2 -3 2 3 0 0 5 6 1 00 = find all the unknowns using Cramer's rule. Let A = ܐܝܘܘ --0-0 If A X3

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Q: the root lies between 2.625 and 2.75 is 2.6875. O True O False

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Q: 1. Let R₁ and R₂ be relations on a set A represented by the matrices. 0 1 0 1 0 MR, 1 1 1 and MR₂ =…

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Q: Solve the following by first fully factoring using the factor theorem:  2?4 + 13?3 + 19?2 − 10? − 24…

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