Assignment No. 1 Q/ Solve the following inequality. Write your answer as an interval or union of intervals. Show the solution sets on the real line. x – 7 3 2- 2 1 x + 5

Q: Q2/ The sequence {x} has the Z transform 3z(z-1) F(z) Find {Xx} z3-2z2-4z+8

A: 3z(z-1)z3-2z2-4z+8=3z(z-1)(z-2)2(z+2)Let 3z(z-1)(z-2)2(z+2)=A(z-2)+B(z-2)2+C(z+2)On solving we getA ...

Q: Exercises 2 Let f(a) be a function of period 2n such that S-, 0<r < 0, a) Sketch a graph of f(a) in ...

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Q: Question #2- find menimem degree sirlespdating polfnomial pero Compute fx). for Tne yollabing data f...

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Q: Q2/ solve; dy A: dx y **= e* + y3 x+1

A: Consider the given differential equation as below: dydx-y(x+1)=exy3 Here the objective is to find th...

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A: For the given statement we have to choose the correct option. 

Q: Q2/Find the curvature of the curve, r= (4 cos n i+4 sin n j) .n=(In 2t)

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A: To find the form of the particular solution for the given differential equation

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Q: Q2) Solve the differential equation by the method of integrating factors: B)xy' + 2y = 4x², y(1) = 2...

A: The detailed solution is as follows below:

Q: T. Find the maximum value of Q(x) subject to the constraint x'x= 1. Q(x) = 14x, + 14x, + 18x, + 26x,...

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Q: Let L be the line that passes through the origin in the direction of u = (1, 1, 1). Find the matrix ...

A: Let L be the line that passes through the origin in the direction of u = (1, 1, 1) The matrix for co...

Q: Q2/ Graph the polar equation r= 4+4 cos 0 %3D

A: Question 2: To graph the polar equation: r=4+4cosθ

Q: Р(BJA).P(A) t P(A|B)- P(B)

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Q: Solve the linear equation below: dy +y =x³ dx y= 3 C y = 3 y = 4 y = +

A: Option (1) is correct.

Q: solve the given initial value problem    y'''+3y''-13y'-15y=0 , y(0)=y'(0)=0, y''(0)=1

A: I have solved using Laplace transformation

Q: Consider the equation y" – 2y' + y = g(t) for some unknown function g(t). Suppose that Y1 and Y2 are...

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Q: B: check if the below is a homogenous Equation: f(x,y) x (In /x? + y2 – Iny) + y e*/y *(In Jx² +y²- ...

A: see the attachment

Q: 2. A ball is thrown downward from the top of a 90-story building. The distance, d, in feet, the ball...

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want rem...

Q: Q2/ Graph the polar equation r= 4+4 cos 0 ******** ********** **** *****:

A: See the attachment

Q: Q1/ Use the inverse matrix to find the solution set of 3X+Y+Z=9 X+Y+Z=8 X-Y+Z=-1

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Q: Match the third order linear equations with their fundamental solution sets. E v 1. y" + 3y" + 3y' +...

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Q: Q3 Check whether the following functions are odd, even or neither 1 a) h(t)= t-1 O Neither odd nor e...

A: We have to check whether the given function is odd, even or neither.  

Q: 1. Given that f(x) = 5x - 4 and g(x) = 3x + 1                                                       ...

A: 1. fx=5x-4gx=3x+1f0=5×0-4=0-4=-4g-13=3×-13+1=-1+1=0 (b) &amp; (c) f∘gx=fgx=f3x+1=53x+1-4=15x+5-4=15x...

Q: Let A = {1, 2, 3, 4} and B = {a, b, c, d, e}. How many different relations are there from A to B. Wh...

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Q: b) y =1+ f(z)=2x-2 O 1ks f-(z)=-1 O 2 34s (2)=2x-1

A: Step 1 Replace y with x and x with y  Step 2 Then solve for y in this equation  Step 3 Replace y wit...

Q: Find the general solution of the system of DEs

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Q: 7.31 In free space, the magnetic flux density is B = ya, + za, + x'a, Wb/m2 (a) Show that B is a mag...

A: Given: The magnetic flux density is B=y2ax+z2ay+x2az Wb/m2

Q: curvature

A: Given: r=4 cos n i+ 4 sin n j  n=ln 2t To find: The curvature of the given curve. Formula used: The ...

Q: Q1) Two 40 N forces, F, and F2, directed at 90° to each other, act on a hook, as shown in Figure 1(a...

A: Two forces acting on a hook , we have to find the resultant force

Q: Make a change of variable, x =Py, that transforms the given quadratic form into a quadratic form wit...

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Q: Solve with full steps.

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Q: Fill in the blanks.

A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new que...

Q: C: 2 +xy y?e2 sin x dx

A: The given differential equation is a Bernoulli ODE of the form y'+p(x)y=q(x)yn, whose general soluti...

Q: Analyze the equation 4x2 -16x - 9y² – 54y = 101.

A: The equation represents a hyperbola.   The detailed solution is as follows below:

Q: Derive the Taylor series for cos t by applying the Picard method to the first-order system correspon...

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Q: 3s F(s) s2 + 2s – 8 ||

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Q: Q2/Find the curvature of the curve, r= (4 cos ni+4 sin n j) .n=(In 2t)

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Q: I need this Answer at half time Quickly. Please

A: To start Jacobi method, the set of equations: 6x1+3x2+x3-x4=3x1+5x2+x3+x4=11x1-x2+4x3+x4=6x1+x2+x3+x...

Q: -- solve ÿt y-2y=5é'sint ,y (0)=1 and o)=o using Laplace transforms.

A: We have to find solution by Laplace transform Method. 

Q: Give an example of two polar equations, r1(0) and r2(0), whose graphs intersect in at least two poin...

A: According to the given information, it is required to give an example of two polar equation whose gr...

Q: Mathematics I 1". classes Mathem Asst. Prof. : Abbas F. Al-shimmary Hw: Find the area of the surface...

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Q: Find the inverse function of f informally. Rx) = x³ + 5 Verify that f( x)) = x and f(f(x)) = X. =x a...

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Q: How do we know that we are going to need to factor a function in order to solve? (select any answers...

A: Here we need to choose a statement which denotes that when we factor a function in order to solve it

Q: Let Y be a vector subspace of a normed space X. Show that the closure of Y is also a vector subspace...

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Q: Ive [y'[x] - a* y' [x] + b * y[x] == 0, y[x], x] DS 3a Va? 4b x {{y[x] e? 4 b x C[1] + e (a»Va? q C[...

A: Answer 

Q: Determine whether f(z) = ez is analytic functions of z or not. If yes, then find f ’(z).

A: Given function is f(z)=ez We know that analytic function must satisfy the C-R equation, which is as ...

Q: Q1/ By using Gauss-Seidel method, find the solution of the system when the initial value is X) = 0, ...

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Q: Solve : t -4t y"+2y - Sydt e s(t-3) yco) = 0 y'co) = 0 %3D

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Q: Let f(x) be a function of period 27 such that T- r, 0<r<T f(r) = { 0, T<a < 2n a) Sketch a graph of ...

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