Discreet

Q: B. Find the particular solution of the following differential equations using Laplace. L FOR CLA 10....

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Q: Power Series Method 9-xy-2y = 4X X.y

A: We have the given differential equation y'''-xy'-2y=4x Here, px=1, so every point is an ordinary poi...

Q: A special fully continuous whole life insurance pays a benefit of 1000 plus a refund of all premiums...

A: A special fully continuous whole life insurance pays a benefit of 1000 plus a refund of all premiums...

Q: f(x) = n² – x² 0<xくT

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Q: В. NON-HOMOGENEOUS HIGHER ORDERED LDE 1. (D³ + 5D² + 3D – 9)y = 64x²e-3x

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Q: A. Find the Laplace Transform if the given is a function of t, and Inverse Transform if the given is...

A: Use the following formulae, to obtain the solution. Ltkft=-1kdkdskLftLcosat=ss2+a2ddxuv=vu'-uv'v2ddx...

Q: Simplify the following expressions.

A: 1. Given,          300x3x5

Q: Exercise 3.14. (i) Prove that, for n > 1, it follows that =) 1, it follows that 1 1+ 13 1+ 23 1 n3 ...

A: Prove that : (i) for n≥1, it follows that         1+121+122 . . . 1+12n&lt;52 (ii) for n≥1, it follo...

Q: Find the equation of the plane containing the line: x = 2 + 10t, y = 2 – 2t, z = 9 + 4t and parallel...

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Q: #4. Determine the following attributes of f(x)= log,(3x+1)+2. a) `Find the x-intercept(s) of fx). Gi...

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x), ...

Q: Using definition of Laplace transform, transform the following expres- sion 0 2. 1, f (t) = { 2t

A: Laplace transform of the function

Q: If z, =1+(2+ V3 )i and z, =-2-2i , express z, and z, in polar form. find z,2, in exponential form. f...

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Q: 4. x*(1) +x(t)=6sin(21), x(0)=3, x'(0) =1

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Q: If z, =1+(2+ 3 )i and z, =-2-2i, (i) express z, and z, in polar form. (ii) find z,7, in exponential ...

A: Solution:-

Q: Suppose that the sequence of functions {fn} and the function f are integrable on [a, b] and that {fn...

A: Given that,  The functions fn and f are integrable on a,b. fn converges to f on uniformly a,b. an i...

Q: Use Taylor series method (4th degree) to obtain the solution of y' = - xy correct to four decimal pl...

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Q: Use intermediate value theorem to prove that the given equation has a root in the interval (1, 4). O...

A: The solution does not exists in the interval because both f(1) and f(4) are positive so, no number i...

Q: There are. Polynomials of degree atmost n in the polynomial ring Z, [x]. none 5^(n+1) 5^n 5 + 5^n

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Q: In Problems 70. a hemisphere of radius a has its base on the xy-plane, centered at the origin; the z...

A: Given a hemisphere of radius a unit, which has base on the xy-plane and centered at origin.  Where z...

Q: rmine all the zeros of f(x) = 3x121 + 5x64 – 2x54 +x44 in Z7[x]. (Hint: Use Ferma |3D

A: In this question, the concept of the Fermat Little Theorem is applied. Fermat Little Theorem Fermat'...

Q: 6) E(-1y " Ans. Diverges, a,1 n+1

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Q: In this question, E denotes the number formed by the last 6 digits of your student ID number. For ex...

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Q: 4 1 the eigenvalue [2 For the matrix A = 4 -105 is -105 corresponding to the eigenvector Select one:...

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

Q: 5. A 500-g object is attached to a spring having a spring constant of 6 N/m and come to rest. The ob...

A: Given: Let the mass of object is 500 g and the spring constant is k = 6  Nm And an external force is...

Q: HW.8. Use farseval's theorem to find if f(t)=A e-alti Ans: A?

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Q: eiz dz around (a) |z – in| = 2 (b)|z - | = 2 (c)|z| = 2 sinhz

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Q: Consider the following data: -0.5 -0.2 0.2 0.7 f(x) | 1.2840 1.1052 0.9048 | 0.7047 a. Use Lagrange ...

A: The given problem is to find value of functions at points formed by given data at given points using...

Q: f(a): 5x-2 for a <4, 4x +3 for 24. (a) Evaluate lim f(x). x-4- (b) Evaluate lim f(r). T-4+

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Q: Theorem 9.6.4 The function V(x, v) = ar + bxy + cy is positive definite if, and only if, a> 0 and 4á...

A: We have to show that the function Vx, y=ax2+bxy+cy2 is positive definite if and only if a&gt;0 and 4...

Q: 3. If A<B and 3' +3° = Ax 3°, what is the value of A? oroun is 2.3 If there are 60 neople in the cro...

A: Given that A&lt;B and 37 + 38 = A*3B. We have to find the value of A.

Q: NEWTONS LAW OF COOLING 4. Ateef and Aneesa make pizza at Aneesa's house. The pizza has an initial te...

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Q: (P Q) A (Q> P) = P → Q.

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

Q: Determine the amplitude of the graph below.

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Q: 7. Establish the validity of the following arguments: (p v q) A (a +r)A (p → s) ASTA (p v q).

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Q: Find the inverse of f(x) = x + 1. Graph f and its inverse together. Add the line y = x on the same s...

A: a) Given,        f(x) = x+1

Q: Solve using the method of undetermined coefficients: x" – x' = te*;x(0) = 2,x'(0) = 1 %3| -

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Q: - Consider the vectors vi= and b Find the following Proj., b and Proj, b.

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Q: 3. J-00 (x2+a²)(x²+b2) Ax : x2 a 0 TT à (x2+a²)(x²+b²2) b-a

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Q: . Find the particular solution of the following differential equations using Laplace.

A: We have to find the particular solution of the given differential equations using Laplace.

Q: Theorem 9.6.4 The function V(x, v) = ar + bxy + cy is positive definite if, and only if, a.> 0. and-...

A: We have to prove that the function Vx, y=ax2+bxy+cy2 is positive if and only if a&gt;0 and 4ac-b2&gt...

Q: 55 55 Find the area of the surface generated by revolving x= 4/4-y, 0sys about the y-axis. 16 16 x=4...

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Q: x2 Lo Gx2 +a²)(x²+b²) 08 dx %3D b-a á 0 à

A: Given integral is∫-∞∞x2x2+a2x2+b2dx          a&lt;0, b&gt;0The integral is evaluated as shown below

Q: 3. Prove that: tan-1z +z %3D

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Q: Using definition of Laplace transform, transform the following expres- sion 0 2.

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Q: 1 Q5. Use the precise definition (i.e., via the e 8 notation), prove lim х-2- (х-2)3 = -0.

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Q: Find a vector equation and parametric equations for the line that passes through the point (2,1,-3) ...

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Q: Find the second iteration value of an extremum (maximum/minimum value) of f(x) = 5sin2x - bx2 - cx i...

A: The function given is as follows: fx=5sin2x-2x2-4x The initial guesses given are -2, -1.5, and 0. We...

Q: paraboloid hーinート=2 plan z=0 Coahward onentuhun) F-<パッリンで) Evaluale SIS div F dv. V Show the LHS #, ...

A: Here we will use cylindrical co ordinate to find triple integral  In cylindrical co ordinate system ...

Q: 2. Consider the following oriented surfaces: S1 : z = 0 with downward normal vectors S2 : portion of...

A: Stokes theorem

Q: Salve d'y +1 dy = 12lo9e a dx %3D 2.

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