2. Let R be a relation defined on the set of integers Z where a R b if a +b is even. Determine whether R is an equivalence relation.

Q: S F(s) = (s+5)6

A: Use partial fractions to split the function then use laplace table.

Q: Find the solution and define The interval at which function is değine 2. dx

A:

Q: Show that the function f(x, y, z) = x² + y² – 222 sat isfies the Laplace equation. - Good Luck.

A: Given function f(x,y,z)=x2+y2-2z2. We have to show function satisfies the Laplace equation. A functi...

Q: Find a root of the equation tan x = 4x correct to 3 decimal places, xo = 1.5

A: Note:- Here, No particular method is mentioned. So, I'm using Newton Raphson Method. You can resubmi...

Q: Question 5. Prove that O- subgroup of itself. (the set of positive rational numbers) under multiplic...

A:

Q: Parametrize the following two curves in R³ and find their arclength. (1) the intersection of the cyl...

A: Question 1:Given:The intersection of the cylinder x2 + y2 =1 and the plane x+y+z = 1  

Q: (はゼ) at

A: This is a problem of non linear differential equation.

Q: Solve the system of equations: Equation 1: 2wi + 3x(4-3i) = 13 - 66i; Equation 2: 3wi(4+3i) + 25x(1+...

A: Given: Equation 1: 2wi + 3x(4-3i) = 13 - 66i; Equation 2: 3wi(4+3i) + 25x(1+i)i = -100 + 175i To sol...

Q: [2 -2 Determine the eigenvalues of the matrix 1 11 3 1 -1 А. —1,2, 3 В. 1, 2, — 3 3 С.- 1, 2, —3 D. ...

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Q: Simplify 324-4x/2x+18

A: Let us consider the Rational function f(x)g(x) To simplified the function  Taking common factor fro...

Q: Complete the following tables. I - 5 I- 3 -6r + 9. ² – 6x + 9. 2.5 3.5 2.8 3.2 2.9 3.1 2.99 3.01 2.9...

A: Given two functions are fx=x-5x-3     and    gx=xx2-6x+9

Q: GM- A10 Complete the table. Show your complete solution. Compound Maturity Principal Rate Time (year...

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Q: Find: Sdx. 6e* ex-1

A: Introduction: The process of determining the area of the region under the curve is known as integrat...

Q: Find the following limits if they exist. 1. 2 8x 4x+1 lim x0 x-7 2 lim x0 5x-7 X +2 x +x+ 27 lim 2 X...

A: It is known that limy→∞ay=0, where a is a constant. The limit: limx→∞P(x)Q(x) exists, if the degree ...

Q: dy x fan x

A: Introduction: The variable is separated when the differential equation can be written as dydx = f(y)...

Q: class ify the PDE hyperbolic elliphie of par(alaolie

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Q: Refer to Matrix A and B, determine the following 6. co-factor of az21 and a33 of A? 7. determinant o...

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Q: Q1:Find an orthonormal basis for the Euclidean space Rª that contains the vectors -HH [0] u1 = ; Uz ...

A: Here we have to find an orthonormal basis for the Euclidean space R4 that contains the vector  U1=11...

Q: Three coins are tossed. What are the outcomes? (can use a diagram or table in creating your list). ...

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Q: Q.2) Evaluate cln 7 cln 2 cln 5 e(z+y+3) dzdydr In 6 In 4

A: Given triple integral is ∫ln6 ln7∫0ln2∫ln4ln5 ex+y+z dz dy dx   Note:- ex+y+z =ex ey ez

Q: When the unit price of a designer bag is $700 the quantity demanded is 4500 per month. When there is...

A: Linear function of x can be given by  y= ax +b where a and b are constant 

Q: Solve the following ODE using Laplace Transform: 1. 6y" + 5y" + y' = 0 y(0) = -2,y'(0) = 2,y"(0) = 0

A:

Q: d1(x,y) = e*-y, d2(x,y)= |2x – yl and d3(x,y) = /]x – yl %3D %3D O Both d1 and d2 are metrics on R. ...

A: We have,d1x,y=ex-yd2x,y=2x-yd3(x,y)=x-yWe will check whether they satisfy the properties of metrics ...

Q: cos3u Find: du. (2+sin 3u)2 The professor asked me fer the solution in full

A: Introduction: When we try to integrate a composite function, we first follow the method of substitut...

Q: 7. Prove: "If T is a tree of order n and size m, then m = n – 1." Give a concrete example to elabora...

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Q: Find the Inverse Laplace Transform of the following: 2. Y(s) = /(2s– 3)5

A:

Q: i155 Q-when fitting the data shown in the table with a second order polynomial Y=a+bx+cx? The value ...

A: The quadratic regression technique uses a dataset to determine a quadratic function,: f(x)=a+bx+cx2 ...

Q: If an airplane is flying at 140 miles per hour East and turns in a smooth curve with a diameter of 3...

A: Given Velocity=140 miles per hour diameter=3 miles Centripital acceleration=v2r

Q: dy x fan x

A: The general form of a first-order differential equation is given by dydx=f(x,y). The solution of the...

Q: Find the solutiom and deined the internal at which junction is depined

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Q: For a given quadratic function f(æ) = x² – 46x + 120 %3D Answer : (Choose the answer in the boxes)

A:

Q: Let A e Rmxn,x, b € R, Q(x) = || Ax – b||3. (a) Find the gradient of Q(x). (b) When there is a uniqu...

A: Given : A∈ℝm×n , x, b∈ℝ, Qx=Ax-b22 To find : (a) gradient of Qx (b) a unique stationary point for Qx...

Q: (x+ yel) dx – xe dy = 0, y(1) = 0

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all ...

Q: Find the Inverse Laplace Transform of the following: 2. Y(s) = /(2s– 3)5

A:

Q: Evaluate the value of v-10 x V-7. A. imaginary B. -V70 C. V70 D. undefined

A:

Q: Find the truncation error of the following Maclaurin series given that it is truncated into 3 terms:...

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Q: In Exercises 1 through 24, determine whether the series is convergent or divergent by applying eithe...

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Q: If f is continuous on [a, b], then f E R (a) on [a, b].

A:

Q: Solve for x that satisfy the equation x2 + 36 = 9 – 2x2 A. +6i В. +3і С. 9i D. -9i

A:

Q: (-1)" (n + 1) Deteremine if the series is absolutely convergent or conditionaly convergent.. n3 +1

A: Given series is ∑n=1∞-1nn+1n3 + 1

Q: Find X in base 6= {(40.5)base 8 + (32)base 10} / (A)base16

A: This is a problem of counting, finite math.

Q: Question 1. Suppose that G = xy = yx². {e, x, x², y, yx, yx²} is a non-Abelian group with |x| = 3 an...

A: Given that                 G= {e,x,x2,y,yx,yx2} ba a non abelian group with o(x)=3 and o(y)=2. And w...

Q: If x is even and y is odd, show that (x + y)² is odd.

A: Let x is even and y is odd. We prove that is (x+y)2 odd.  

Q: 54. If sz is the k th partial sum of the harmonic series, prove that In (k + 1) < S <1+ln k. Hint: 1...

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Q: If 4x + 6i = 8+3yi , then x +y is equal to A. 1 В. 2 С.3 D. 4

A:

Q: If a third degree polynomial has a lone x-intercept at x=a, discuss what this about the linear and q...

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Q: |a² +1 ab ac The value of the determinant A= ba b2 + 1 bc equals cb c2 + 1 са A. a? + b? + c? B. 1- ...

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Q: Show that if ac|bc, then a|b.Show that if a|b and b|a then a=±b.

A:

Q: 2. Use the Newton-Raphson iteration method to estimate the root of the following function employing ...

A: Given fx=xx2-x-10-8=0 and initial guess x0=3.75

Q: How many ways can you choose 2 letters from the letters A T C ? Select one: 1 O 720 3

A: