Find the inverse Laplace transform of the following functions F(9)= (+2X8+3) 68 +25 F(s)= sl + 5)² d.

Q: Show that if s(3) 4(q- _9−2+9(1+ 93 2(g-1) increasing or decreasing. For 3 > 0, q> 3

A: The given function is                               sβ=q-2+q1+4q-1qβ122q-1 where β>0 and q>3.…

Q: Prove that the 2nd smallest non-abelian simple group is of order 168.

A: Introduction- An abelian group, also known as a commutative group, is a group in abstract algebra…

Q: Match each ODE with the graph of its solution. emember the transient solution of underdamping has…

A:

Q: 6. Given the demand equation, P = 100-Q, calculate the price elasticity of demand when P=3 $(a+ß).

A:

Q: A circular cylindrical hole is bored through a solid sphere, the axis of the hole is being a…

A: Here integral given in cylindrical co ordinate system . So we need to use relationship between…

Q: Process of finding the factors of the mathematical expression 2d2-8d

A: Given expression is 2d2-8d. We have to write the process of finding the factors of the mathematical…

Q: The curve Chas polar equation r= 2 cos(1+sine), for 0 << . (a) Find the polar coordinates of the…

A: This is the problem of polar coordinates.

Q: Group 4. Consider the linear application application T(ar³ + br² + cx + d) = 3ar² + 2br + c. T:…

A:

Q: 3- solve the following system of linear equations using Gaussian elimination approach (backward…

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

Q: $ D Surface Aren So Sex & trift-gin 1-1/² D S= (6²-y²) =7 y b₂ SERS() JH (fa) dx 6² D 0 $10k Tave…

A: From the above details we have,

Q: Show justifying that if A and B are square matrixes that are invertible of order n, A-¹BA then the…

A:

Q: Let V₁, V2, V3 be the vectors in R³ defined by 16 11 3 12 34 (a) Is {V₁, V₂, V3} linearly…

A:

Q: A 5 1 -3 9 7 -5 5 Apply Gram - Schmidt process to columns of to make matrix Q, Whose columns are…

A:

Q: Let F be a commutative ring with identity and let f(x) € F[x] be a polynomial of degree 4. Which of…

A: It is given that F be a commutative ring with identity and f(x) ∈ Fx be a polynomial of degree 4.…

Q: Yosef drove 11,500 miles last year. His truck's fuel efficiency averages 18 mpg, and the average…

A: Yosef drove 11,500 miles last year. His truck's fuel efficiency averages 18 miles per gallon average…

Q: Choose all of the correct answers for each of the following: Consider the relationship R between two…

A: A] For one to one relationship both Entity E1 and E2 have direct relation. You can make any table…

Q: (2η)! (n!)². 2n 8. Σ(-1)n-1. n=1

A:

Q: Define f : X → K by f(x) = x'(1), x € X. Again, the linear functional f is not continuous. By 6.4,…

A:

Q: Use the data provided to find values of a and b satisfying a² = 6² (mod N). Then factorize N via…

A: Please see the attachment

Q: Integrate f (x,y,₁/2) = 2² +12y +7 over the cuna 7 (t) = (²1 +31²) + (1², 1st sz - 6+² try to sketch…

A:

Q: The sum of the measures of the angles of n-sided polygon can be solved using the formula S = (n −…

A: We have S=n-2180

Q: Prove that Z(Sn) = {e} for n ≥ 3.

A:

Q: J²v J²v 1 + Əx² дуг x+r 1. (a) If va log(x+r) - r, where r2 = x2 + y2, then show that X y (b) If…

A:

Q: o find the smallest positive root of tan x-x=0 which of the following re-arrangemen propriate? e the…

A:

Q: Example 2 Let A = [aij], B = [bj] be two nx n matrices in Mnxn with inner product (A, B) = tr (ATB)…

A: Given A = 1011 ,  B = 0200

Q: We originally had a circular pie. We ate some of it, but a portion is still left. The leftover pie…

A:

Q: Question: Consider function f(x) on [0, 1], given as 2x f(x) = ²7/7/2 - 2²-1-1 Find the sine…

A: Given that fx=2xL-1, 0,L

Q: the lengths of a female humerus and a male humerus are equal when

A: We will find length of  humerus when height of both male and female become equal .

Q: 6. Find complementary function and particular integral of the following differential equation: (D-…

A: 3

Q: Given the function below, is fx (x,y) (the derivalue of f with respect to x) continuous at origin?…

A:

Q: Problem 1. Draw a tree for the recurrence T(n) = T() +T(7) +n and determine the appropriate guess…

A: From the above details we have,

Q: Find the Taylor or McLaurin series for the following functions f(x) = xe-*, a=0

A: Here f(x)=xe-x,a=0. We find the Maclaurin series of f(x).

Q: • f(0) = 1 ● lim f(x) = lim_ƒ(x) = 0 x →∞ x118 • The values of f'(x) and ƒ"(x) are as follows: f'(x)…

A:

Q: Example 6: Let X = C[0, 1] with sup norm. For any non-zero function on [0, 1], define an map Fo from…

A: It is given that  X = C0, 1 equipped with sup norm and  f(t) ∈ C0, 1. We have to explain the…

Q: 3-solve the following system of linear equations using Gaussian elimination approach (backward…

A:

Q: The price was $450 before 8% tax was added on. What is the price after tax?

A:

Q: 1. Figure out the Z transform F(z) of the unit ramp function f(t). f(t) = { t20 t<0

A:

Q: Find the solution of the differential equation dy dx + x³y = 2x³ (x > 0) with the initial condition…

A:

Q: Use polar coordinates to find the volume of the given solid. Enclosed by the hyperboloid -x² - y² +…

A: Here I am using polar coordinate and substution to solve this question. In this question we have to…

Q: 7. Find the volume of the solid generated by revolving the region bounded by the curves 3πT y=4 y =…

A:

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A: given function fx=e2.5x-e1.6xx we need to find limx→0fx=limx→0e2.5x-e1.6xx

Q: Calculate approximations of tan(π/4-0.1) by using Taylor polynomials P₁(x), P2(x), P3(x). Use c=π/4.…

A: The given function is fx=tanπ4-0.1 To find: P1x, P2x, P3x about the center c=π4.

Q: 4. T(n) = 4T() + n 5. T(n) = 7T()+n²

A: We use here, Master's Theorem

Q: 6. Construct a chart giving values of u and v to satisfy the equation 1.2v +0.64u = 0.85 the range…

A: We know that, if  ax+by=c be an equation, where    x,y are variables and a,band c are constants.…

Q: ge of that volume (called the hematocrit) consists of red blood cells (RBCs); typically the…

A: The quantity of red blood cells, also referred to as erythrocytes, in your blood is measured by a…

Q: Let V=R2 and let H be the subset of V of all points on the line 3x - 2y=-6. Is H a subspace of the…

A:

Q: Find the solution to the initial value problem: x2dy = 2y dx y(x) = y(1) = -2

A:

Q: A linear transformation T : R 2 → R 2 first reflects points through the x2-axis and then reflects…

A:

Q: |3z +48z = 5 cos(4t) |3z +53z5 cos(4t) |3z +25x' +48z = 5 cos(4t) ✓3r |3x +22r' +48z = 5 cos(4t) |3z…

A: solution is given below:

Q: Set-up the integral that of revolution when given region bounded by the y-axis (x = o) and the…

A: This is a problem of the Volume of rotation.