Obtain the inverse Laplace transform: s-4s +12s+24 (s-2) (s²+16) O t'e + cos 4t e 2 (cos 2t – 2t) O t'et +8 cos 2t O te 2t (sin 2t- 1)

Q: Solve the following  complex numbers in their rectangular form. Use the given formula and use 4 deci...

A: Given csc-1(-2.0807+4.5465i)               (1) We have given formula is Csch-zz=ln1+z2+1z           ...

Q: Find the solution of the homogeneous differential equation Y`=Y+X/X

A: find the solution of the homogenous differential equation Y'=y+xx simplify the equation y'=yx+xx⇒y'=...

Q: f(x) = x² and let e > 0 be given. ) Find 8 so that |x – 1| 2 and you had to find a d so that |x – n...

A:

Q: Simplify the following expressions: (a) (2+6i)+(9-2i) (b) (8-3i)-(1+ 5i) (c) 3(7–3i)+i(2 +2i) (d) (3...

A: Since you have posted a multi subparts question according to guildlines I will solve first three que...

Q: Problem 3.2 Let x be a real number. Show that [3r] = [=] + x+ + x+

A:

Q: The scalar product of two vectors is defined as the product of their magnitudes times the of the ang...

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars, a...

Q: 3. What is the appropriate trigonometric identity that is required to solve (cos x dx ? A. sec? x =1...

A:

Q: 6 If PL=114, RN=84, and OR= 153, find LM. Round answer to the nearest hundredth. M 88.32 B 69 ©62.59...

A:

Q: Simplify the following: Note: m=0 n=0 (x³ yt z=7) (m+) Vy* z² (x³ y6)º x y z x3 y-2 z7

A:

Q: Note : m=0 , Weight: 1.25 k he weight of your laptop in gram. What is its weigh

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to...

Q: (2n)! 12. E 2" .5: 12 Find the radius of convergence and interval of convergence of the series. n=1

A:

Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (4, -2, 5) (a)...

A:

Q: For the following Venn diagram, determine the set A -B. k h 2 a 4 10 5 11 A 15 d 7 14 1 12 B. 8. 13 ...

A:

Q: Which system of inequalities is represented by the graph? [y-x B. C. D.

A: The two bold lines drawn in the graph is represented by the following equations.

Q: , If P(2,-2,1) , Q(3, -1,2) and R( 3,-1,1) ノ a) find the area of the triangle determined by the Poin...

A:

Q: 3x - 2 Complete the statement below to rewrite g (a) in the form g (a) + k. I - h a %3D I - 2 a Then...

A: Let us consider the function f(x)=ax To transform the function f(x)=ax-h+k Shift the function h uni...

Q: The graph of the function f(x) is (the horizontal axis is x.) Given the differential equation æ'(t) ...

A: Given the graph is 

Q: Prove the Pascal's identity when n 6. (")+?(")+ 2(")+ + 2"() = 30 en

A:

Q: Find and Dw fok the following functions e 2-

A:

Q: QUESTION 5 If A= (a,b,c,d,e) then 19(A)| = %3D

A:

Q: The following holds for the geometric sequence gn: the first term g1 is equal to 5, the sum of the f...

A: The general equation for the nth of a geometric series of first term a and common ratio r is given b...

Q: 2. Find the mean of the probability distribution of the random variable X which can take only the va...

A: 2. We have to find mean of given probability distribution.

Q: SOLVE THE FOLLOWING COMPLETELY. 1. Given the vector field G = 2x²y ax-2(z-x) a, + 3xyz az, find: a. ...

A: As per our company guidelines, we can solve first three multi-parts. If you want other parts to be s...

Q: Find the truth table of the following logical expression: (Note: Type T for true or F for false) ov ...

A:

Q: For the following Venn diagram, determine the set Bnc. k 10 a 4 11 9 A 15 d 7. 14 6. B. 8 1 12 13 3 ...

A: The intersection of A and B is the set of all those elements which belong to both A and B.  A ∩ B =...

Q: Part I. Find the Laplace Transform of the following: t-e-3t 1. f(t)

A:

Q: using beta function integration Show that: 1 dx = bu xu-1 В (и, т — и + 1) (1 + bx)m+1 By making the...

A: Introduction: The Beta function is one of the most important improper integrals. It is defined as Bm...

Q: 1. Apply the Sieve Process from 200 to 300. 2. Let p be an odd prime not equal to 5. Prove that eith...

A: Solution :-  

Q: coshz=cosh3 has two sets of solutions: 3+2nπi and a+2nπi where n is an integer. What is the value of...

A:

Q: Solve the following problem using Fourier transform %3D (oave J Utt +4 uxx =0 Claplan) xE (-00, 00),...

A: We will use basic knowledge of Fourier transform and inverse Fourier transform to answer this questi...

Q: Simplify the following logical expression: aF Ob.pvq

A: In the given question, the concept of the logical operation is applied. Logical Operator A logical o...

Q: 4. A certain breed of rabbit was introduced onto a small island about 15 years ago. The current rabb...

A: We will find out the initial size of the rabbit population from the given exponential growth model. ...

Q: Use the inverse of the matrix A = I to decode the cryptogram: 33 48 18 23 9 18 19 19 18 33 27 39 Ent...

A: Decoding the given cryptogram

Q: Qz) if the vechri Find ū =-i +J and ū =Jz ie JJ J +2 Ŕ a) The scalev component of ū in the divection...

A:

Q: 1. Find the general solution of each of the following differential equations. If an initial conditio...

A:

Q: five candidates: claire, jimmy, jessie, kent and gina are running for president of the student gover...

A: a. 318+402+760+1035+485=3000 b. Kent won as she got highest number of votes. c. Yes, she won by majo...

Q: Simplify the followin

A: In this question, the concept of Boolean algebra is applied.Boolean algebra A boolean expression is ...

Q: Of the 300 grade 10 students of a certain high school, 120 joined Mathematics club, 115 joined scien...

A:

Q: Show that the centre of a ring R is a sub ring of R. And also show that the centre of a division rin...

A:

Q: Let A = What is (AT)3.2? 00 3. 3.

A:

Q: 3x Complete the statement below to rewrite g (x) 2 in the form g () + k. h %3D a Then describe the g...

A: Let us consider the function f(x)=ax To transform the function f(x)=ax-h+k  First transform the fun...

Q: (d) dim ker(A) = dim ker(B). Combine (b) and (c) to show that if A and B are similar matrices, then ...

A:

Q: 14. Gilbson Valves produces cast bronze valves on an assembly line, currently producing 1600 valves ...

A: Solution :-

Q: 2. Let f : (0, ] → R such that f(z) = r². • Show that f(x) < z. • Show that f has no fixed point on ...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: ral | sin 0

A:

Q: Show that the centre of a ring R is a sub ring of R. And also show that the centre of a division rin...

A:

Q: Solve the 2nd order differential equation. y" + 6y' + 9y = 0

A: The given differential equation is y''+6y'+9y=0 The auxiliary equation is D2+6D+9=0 solve for D  

Q: 1+ i -7+ 8i 4i 3+ 0i If A = and B find AB. 3+ 3i 2 – i 2+ 0i -14i ? АВ — ?

A: We have to multiply the given two matrices.

Q: A raccoon walks from A = (0, 0) by going either one unit right or one up at each grid point. Which o...

A: Racoon walks from (0,0) according to flipping of coin either on unit right or one unit up.Now the pr...

Q: f(x) dx =1 then the value of If f(3x +1) dx is %3D ! 1

A: