Find the Laplace transfomation of the function f(t) : cosh at sinh bt

Q: (a) Evaluate the following surface integral yex²+z² dS, where o is the portion of the surface of the…

A: Given the integral ∬σyex2+z2dS we have evaluate the given surface integral where σ is the portion of…

Q: Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to…

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. у%3D х*,…

A: (5) From Symmetry we can see that centroid of the bounded region is at (0, 0)

Q: The area under the curve is negative, if z value is also negative. True or False?

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Q: Use Gauss-Jordan Elimination to solve the following system. Identify the Gaussian Matrix and the…

A: We use Gauss-Jordan Elimination method to solve the given matrix.

Q: 5- Graph the following function( Y=-1/4 log ,(3x-6)+1

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Q: a h g What is (x y z] h b fequal to? Lg f 1. [ax + hy + gz h+ b+f g+f+c] h g hx by fz a f Tax + hy +…

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Q: =At iteration i=3, b .2 f (x) = x³ – x – 2

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Q: By using Cauc hy laws find= Cos X.dx IT (x?+)) Sinx cos A) dx COS X e)

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Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

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Q: Show that in the factor ring Z[i] / , the element x + is a unit.

A: Given a factor ring Zx2x+1=a0+a1x,+⋯+2x+1 |a1∈Z  As 2x+1+2x+1=0+2x+1 Since,  2x+1∈2x+1   as aH=H iff…

Q: This problem is related to core exercise 31 (module 5) in the textbook, and reguires you to do some…

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Q: ovide an appropriate response. How do you know this? 13) Let f have a derivative on an interval I. f…

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Q: 0くt 27. Express the answer using the symbols of unit step functions. (b) Express the answer obtained…

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Q: what is the argument f the Complex number -1-i ? a. 60° C. -45° b. 니7/3 d. -3 /u

A: Argument of the complex number

Q: A graph has a. Vertices O b. edges O c. A function that tells which two vertices are connected by a…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: 17] For each of the following equations, • find general solutions; • solve the initial value problem…

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Q: Show that any compact set in R is closed and bounded.

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Q: Find all the solutions r E Ziz to the equation r³ – 5x² – 7x = 0 mod 13.

A: First, solve in real number then ring down to the finite field.

Q: Let {xn} be a bounded sequence of real numbers. Prove that {xn} converges if and only if lim inf xn…

A: Proof

Q: latiolis • find general solutions; • solve the initial value problem with initial condition y(0) =…

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Q: Define a sequence {E;} where En = r -,r| where n is positive integer. Find P({r}) for any r E [0,1]

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Q: Q7) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=5X+7Y…

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Q: Used cylindrical shell method Find the volume of the solid obtained by rotating about the y-axis in…

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Q: Find the Galois group of the splitting field of x + 2 over Q and identify the automorphism and the…

A: Solution :-

Q: ) (4,0) ) (이14) ) (4,시) S. x* dy - 2y dx whare L is 2° J. circle arc x+y% =1, x >O X 70

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Q: Assuming a matrix A is row equivalent to /, and it takes 4 elementary row operations to convert A to…

A: Given matrix, A=01412-1580 To find: a) Reduced Matrix  using row elimination transformation…

Q: 4. Determine the number of zeros of the function f(z) = 2z* – 2iz³ + z² + 2iz – 1 in the upper…

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Q: Use the method of undetermined coefficients to solve the initial value problem. y"+ 4y = 2 + 8ed,…

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Q: 1 (iii) 1 + 22 22 00 マ7メ

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Q: 5. Consider the vector space P2 along with the subspace, H = span {1+21°, 2. -ť,1-f} Use coordinate…

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Q: (* if -<x<! (o if 플<x< Find the Fourier series expansion of f(x) = 2

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Q: Consider the following initial value problem: y" + 4y = f(t); y(0) = 0, 3(0) = 2; { S 2, 0 c and 0…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: 1.) An open box is to be made with a volume of 36,000 cm3. Find the least material or surface area…

A: Given : Volume=36,000 cubic centimeter. length=2×width Let, Length=l Width=w height=h Volume=l×w×h

Q: Show that any compact set in R is closed and bounded.

A: Proof

Q: Question 3. In parts (a) - (c), prove that for all n ɛ N: (a) n-1 £(:)-I- n k k=1 k=0 (b) £(:)-- n =…

A: Here we will use binomial series expansion  a+xn=n0an+n1an-1x+n2an-2x2+......+nn-1axn-1+nnxn…

Q: urvilinear inteorale. late Find yay (0,0) , (4,0) r where is the pen 4e.x the 1quan (1, a) ato here…

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Q: Use the Gauss-Seidel Method to these linear equations. How many iterations will there be until two…

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Q: 1. xy dx + (x²- 3y) dy = 0 ans. x'y = 2y + c

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Q: if f(z) = (ax – x³ + 3xy²)+ (by – 3x² y + y) is analytic, then the value of a and is

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Q: Let S = {(x, y) : x and y rational numbers}. a. What is the interior of S? Justify your answer by…

A: Please check step 2 for the solution.

Q: You have just sold your house for $1,100,000 in cash. Your mortgage was originally a​ 30-year…

A: Given: n = 360 FV = 0 PV = 750,000 rate = 5.25%/12 = 0.4375%

Q: 8. If W = and V =, compute W x V.

A: To compute w*V from the given vectors.

Q: Find all proper nontrivial subgroups of Z; x Z, x Z;. Find all subgroups of Z; x Z, of order 4.

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Q: Define analytically the periodic functions shown. 1 f(x) 2 2 4 6 8 -1

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Q: Let {bn} be a sequence whose limit is 3. Show that if B is an upper bound of this sequence, then 3 <…

A: We will use the definition of limit.

Q: Find the values of x,y and z using Gauss Jordan method.

A: We have given a system of equations ,  3x + 4y + z = 102x - 3y + 5z + 9 = 0x + 2y - z = 6 This…

Q: Express the sum of integrals as an iterated integral in polar coordinates: r2V3 4+V16-x² x dx dy +…

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Q: Use Gauss-Jacobi Method to solve for the System of Linear Algebraic Equations. Use at least 4…

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Q: (i) Consider the graph of the function y= f (x) where f(x)=e* +e * +1. (a) Determine whether f(x) is…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…