38. 1 2i + z

Q: (b) Find the general solution of d²q dq +60- +50q = 10 cos 2t dt dt² using the method of…

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Q: Given that A = (¹ 1) •[1]. and -1-eigenvector equal to 2 -1 +628968 A = has eigenvalues -1 and 3…

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Q: 3 Consider the result (1.d) above. We will use it to calculate the solution for the ODE ƒ"(t) + ƒ'…

A: As p3r the question we are given the following initial value problem : f''(t) + f'(t) + f(t) =…

Q: 3 By direct partial integration, Solve the following PDES 8- J 8²u axdy 2 = cosx cosy, x4(X₂ #) =X U…

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Q: Convert integers 205 and 12 to binary representations and find their product using the binary…

A: We have to convert the number 205 and 12 to binary representation and find their product using the…

Q: Consider the integral equation: -19t f(t)-39e = 5t- - 5. s sen(t - u)f(u)du By applying the Laplace…

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Q: Estimate the missing data for the station x according to the following information using normal…

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Q: • Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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Q: m For fixed a, consider the quantity cos(x + h) Q(x, h) = a) What is the limit (x) of Q(x, h) as…

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Q: Evaluate the double integral that will find the volume of a solid bounded by 2. z = 1-2y²-3x² and…

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Q: 3. Set-up the iterated double integral in polar coordinates that gives the volume of the solid…

A: We can solve this using given information

Q: = Find the general solution of the following PDES. LO • з Их + 2 Иу ansg- и(x,y) = не , u(x,0) = чех…

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Q: Function 1 2 x +1 on the interval (-3,3) and has n=5. Evaluate the function using integration.

A: We will use basic integration.

Q: An internet job recruitment company, Company1, claims on their company doubles the probability of…

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Q: M

A: Polynomial algorithm for finding an optimum  2RDF (or W2DF) of proper interval graph. So yes, there…

Q: The fish and game department in a certain state is planning to issue hunting permits to control the…

A: Given statement, The fish and game department in a certain state is planning to issue hunting…

Q: Obtain the solution of the following differential equation y"-4xy' +(4x² - 2)y = 0

A: We have to find solution of given differential equation  y''- 4xy' + (4x2 -2)y = 0

Q: Solve: y''y' 6y = - 12t + 28 - y(0) = -6, y'(0) 21 y(t) =

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Q: The number of computers sold per day at a local computer store, along with its corresponding…

A: X P(X) X.P(X) (X-μ) (X-μ)2 (X-μ)2.P(X) 0 0.1 0 -2.2 4.84 0.484 1 0.2 0.2 -1.2 1.44 0.288 2 0.3…

Q: Use Cartesian coordinates to evaluate [[[ 3² a dV D where D is the tetrahedron in the first octant…

A: Plane  3x+2y+z=6in first octantz : 0→6-2y-3xy=0→6-3x2x=0→2 Draw the graph

Q: Let Xis Hilber - Ⓒ || T* ace 2 T* || =)) + |1²

A: This is a problem of Functional Analysis.

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: 4. Using De Moivre's Theorem, show that sin (30) = = 3 sin 0 - 4 sin³ 0. Hence, by utilizing the…

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Q: Q2: If P(A) = 0.25, P (B)=0.45, P (AB)=0.43, draw the Venn diagrams and determine the following…

A: Given that                    P(A)=0.25, P(B)=0.45, PAc∩Bc=0.43

Q: Use direct proof to show, "If m + n and n + p are even integers (s and t), where m, n, and pare…

A: To answer the given questions we shall use the following definition  An integer n is said to be even…

Q: 5 By Separation of variables, Solve the following PDES- ²4 ● = 4 ²4 dx² 0 o u(e,t) = u(5,t) =6…

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Q: Use iteration to guess an explicit formula for the sequence defined by an = an-1 + n for all…

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Q: • Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: Problem 1. Consider a periodic square wave defined by -T/2<t<T/2 by y(t) = -1,-T/2 < t <0 1,0 < t <…

A: Solution:Square wave is defined as :y(t)=-1, -T/2&lt;t&lt;01, 0&lt;t&lt;T/20, at t=T/2 and 0Clearly…

Q: Set-up the iterated double integral in polar coordinates that gives the volume of the solid enclosed…

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Q: 4. Use Cartesian coordinates to set up the iterated double integral given by Iff v² av D where D is…

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Q: Q4(a) (b) Find the complete solution of p? +q2 =z, where p = ax Find the general solution of d²q dq…

A: This is a problem of the differential equation.

Q: 2. A man put a pair of rabbits in a cage. During the first month the rabbits produced no offspring…

A: It is given that during the first month the rabbits produce no offspring and thereafter produced one…

Q: (a) f(x) = sin(x) X at x = 0.

A: a.the function is not defined at x=0. The function has right hand and left-hand limits same and…

Q: Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x² and the…

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Q: Use Cartesian coordinates to evaluate JIJ y² dV D where D is the tetrahedron in the first octant…

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Q: [(e* −y) dx + (sin y + x) dy y=1-x² Evaluate the integral c y=x² - 1 bounded by and using Green's…

A: We will find region bounded by given curve to apply Green's theorem

Q: 3. Ronnie goes to the racetrack with his buddies on a weekly basis. One week he tripled his money,…

A: Let assume  $x he start with the first week One week he tripled his money = 3x But he lost $12 Left…

Q: (b) Q(√2, √3) over Q(√6).

A: This question from field extension

Q: 5√2 x Evaluate the integral ² cos ²0+2²) r do dr dz. 000 The value is (Type an exact answer, using x…

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Q: At 8 a.m., you place a certain amount of bacteria on a slide. Every hour, the area covered by the…

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Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 4y = 3e³t Y(t) =

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Q: 1. Given the system of linear equations, X + y Z 2, + 2y + 3z X 5, 2x + 3y + (m-3)z m, where m is a…

A: Augmented matrix AB is obtained by adjoining the constant column matrix B to the coefficient matrix…

Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

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Q: 3x 6 1 -In xy dx e-In √x dx +dy +=dx = e-mxx y X

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Q: By direct partial integration, Solve the following 5 4 PDES 8- • Xd²z dz dy ₂ Z(X₁0) = x +X, Z (2,…

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Q: Identify the surfaces of the following equa equations in the Cartesian form. Show your complete…

A: According to the guidelines I am answering first question only. to convert cylindrical system to…

Q: Show that (2+x, e) is linearly independent. Plz solve both parts within 30-40 mins I'll upvote your…

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Q: A cylindrical can of height h and radius r is to be made with a fixed volume V. Show that the area…

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