s- 5 s2 + s - 6 a. FC) = } *-* cF) = *+* 3t e 2t 8 B. f(t) =e 3t D. f(t) = - 8. e2t 5 3t
Q: Jump to Problem: 1 2 Problem 1. (3 points) How many shortest lattice paths start at (5, 5) and a.…
A:
Q: 5. Given the equation: (x + 2y – 4)dx + (2x – 4y)dy
A:
Q: 2: DeJuan has just purchased his first car. His bank has given hlm of $1500 for the first year of…
A: Given: Rate of interest= 12% Quarterly payment =$1500 Time period=1 year
Q: Theorem 8.5. (Minkowski's Inequality). Let1sp<o. hen for every pair f.g e L", we have Il f + g II, <…
A: this is a problem of functional analysis.
Q: Q1: Use differentials 3x-2 the appsorimate ay to AY from clanges when and x 2 to 2:63-
A: Given function is y=3x−2. We have to approximate ∇y when y=3x−2 and x changes from 2 to 2.03.…
Q: Approximate the integral to three decimal places using the indicated rule 1 sin (Tx)dx ; trapezoidal…
A:
Q: Determine the z-transform of the following sequences using the z-transform table and the z-transform…
A: Option c is correct answer
Q: 1 company making cold drinks has two bottling plants located at towns T. and T2. Each plant produces…
A:
Q: Solve the following determinants:- 1 2 3 4 0 1 2 3 0 0 2 1
A:
Q: 2. The Fourier series for the function given by: f(z) = { %3D 2 sin(nx) (2n T(2n - 1)2 n=1 (a)…
A:
Q: Mat is selling bags of muffins for a fundraiser. He ordered 560 bags of muffins at the total cost of…
A:
Q: countable in number, such that
A:
Q: Q. 9(a) kind Solve the volterra integral equation of first -t)g(t)dt = x 0.
A:
Q: (a) Let D: P3 → P3 be the differentiation operator. Find the kernel and range of D. (b) Let M22 be…
A: Let V and W be two vector spaces and T : V→W be a linear transformation. Then the kernel of T is…
Q: [MO23] For the function y = x In(1 – x), determine its a. MacLaurin Series expansion up to fifth…
A:
Q: To prepare astronauts for the experience of zero gravity (technically, microgravity) in space, NASA…
A:
Q: Direction: Solve the function using Bisection Method. Show your complete solution. 1. Show that 3x €…
A:
Q: Verify that lxl:|Ž Ž1% P) is normed spase: and show that nokmed Spase Spase:
A:
Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…
A:
Q: Consider z1 = 1 - j2 and z2 = -2 + j3. Determine Im (21)?
A:
Q: Considey the eigen value pronem of -a unit disk Blo,1): on the in 3(o.1) Find the smallest…
A: We are given the following system. -∆u=λu in B0, 1uδB(0, 1)=0 ------(1) Here, we need…
Q: Consider the following. W = {(3t, t): t is a real number} (a) Give a geometric description of the…
A:
Q: F. Boolean MIatrices 1 0 1 [1 1 17 To 1 Let B = C=0 1 1: D=0 0 1 0 1 0 100 [1 0 [1 0 0 1 E=1 0 1 0…
A:
Q: Let p be prime. Show that C) mod p = C for 0 <k< p What does this imply about the binomial…
A: See the following below.
Q: If z/w = 6 - j8 when z = 22 + j4, what is the argument of w?
A: To find The argument of w.
Q: What is the z-transform of x(n) = ō(n) + õ(n – 1) + õ(n – 2) + õ(n - 3) + õ(n – 4) + d(n - 5) a. 1+…
A:
Q: 15 Part B What is the approximate length of KL, in feet? A. 19.1 В. 22.0 С. 38.1 D. 44.0
A:
Q: Evaluate by Exact D.E. (2xy – 3x²) dx + (x² + y)dy = ( Oc= =y+x² + % 2 Oc = x²y – x³ + y? %3D 2 Oc =…
A:
Q: Show that the dictionary order topology on the set R × R is the same as the product topology Rd × R,…
A: A basis for the product topology on ℝd×ℝ is B=x×(y1,y2)|x,y1,y2∈ℝ, y1<y2 These are just products…
Q: G: S → ACA A→ aAa |B |C B →bB |b C→cC[2
A: X is nullable if it can produce a null word.
Q: What is the z-transform of h(n) = ō(n) - 25(n – 1) + õ(n – 2). z- 2+z1 b. 1- 2z1 + 2z2 1- 2z1 + z?…
A:
Q: Use the Runge-Kutta method to solve the equation y" = xy' +y for x= 0-0(0-2)2-0 given that at x = 0,…
A:
Q: The base of S is a circular disk with radius 4r. Parallel cross-sections perpendicular to the base…
A:
Q: What is the z transform of h(n) h(n) = (1/2)", 0<n<3 Lo, 0, elsewhere 1+ (1/4)z2 + (1/8)z³ 1 +…
A: We have to apply the z transform properties.
Q: Find two linearly independent solutions of y" + 3ry = 0 of the form Y1 = 1+ a3x³ + a6x® + · .. Y2 =…
A: We find two linearly independent solutions of the given differential equation y"+3xy=0.......(1)
Q: Find the solution. dy x-+ 5y =2r2y4 dx
A:
Q: x3 + xy² + x + i(x²y + y³ – y) x² + y2 F(z)
A: We have to find the derivative of f(z).
Q: (3) (a) Suppose a ring R is a finitely generated algebra over a field k. Prove that the Jacobson…
A:
Q: 9.) xy3 dx + (y + 1)e* dy = 0 10.) y cos x cosy
A: The solution is below.
Q: 0.5 coS X dxp. Using the Riemann sum (at the midpoints) with n=8, approximate the value of the…
A: We have to find approximate value of given definite integral Using Riemann Sum(at the Midpoint).
Q: Point-masses m; are located on the x-axis as shown. Find the moment M of the system about the origin…
A: To find the moment and center of mass for point mass system.
Q: 5.1 Rewrite the following integral as an equivalent integral with the order of integration reversed.…
A:
Q: Use Stoke's theorem to compute the integral [[s(V × F) · n dS, where • n F(x, y, z) = (xz, yz, xy)…
A:
Q: Use Stoke's theorem to compute the integral SL(V × F) · n dS, where F(x, y, z) = (xz, yz, xy) and S…
A: We have to compute ∬(∇×F)·n dS , where F(x,y,z)=(xz,yz,xy) and S is the portion of the sphere…
Q: Determine the z-transform of the sequence (1 + n)u(n) using z-transform properties. Express X(z) as…
A:
Q: Problem 3: The equation ax + by + cz = 0 describes a plane in R that passes through the origin. The…
A:
Q: 2 ft P 3 ft Q 1 ft 2 ft 4 ft R 6 ft 3 ft 4 ft
A: Here the given rectangles are
Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together?
A:
Q: 3.17 Let A be a subset of R, and let f be a bounded function with domain A. Show that, if BC A, then…
A: Given that A,B are subsets of ℝ andB⊂A. As f is a bounded function in A and B⊂A then fB≤fA
Find the Inverse Laplace Transform of
Step by step
Solved in 2 steps with 2 images
- The position of an object at any time is given by s(t)=3t4-40t3+126t2-9.When is the object moving to the right and when is the object moving to the left?During a recession, Congress decides to stimulate the economy by providing funds to hire unemployed workers for government projects. Suppose that t months after the stimulus program begins, there are N(t) thousand people unemployed, where N(t)=−t^3+39t^2+406t+3088 To avoid overstimulating the economy (and inducing inflation), a decision is made to terminate the stimulus program as soon as the rate of unemployment begins to decline. When does this occur and at this time, how many people are unemployed?A ball is thrown vertically and it's height above the ground is given by s(t)=1.2 +28.1t - 4.9t. Find t when s'(t)=0, what is the significance of this results?
- The productivity of a country is given by f(x,y)=14.41x0.427y0.573, where x is the amount of labor and y is the amount of capital. (A) Find fx(x,y) and fy(x,y). (B) Find fx(69,54) and fy(69,54), and interpret the results.A business manager determines that t months after production begins on a new product , the number of unit produced will be P thousand, where P(t)=6t2+5t/(t+1)2 What happens to production in the long run?Maximize B=xy2, where x and y are positive numbers such that x+y2=10.
- The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by f (p) = -33p 2 + 1,254p - 10,763, where p is the price per shirt and f (p) is the monthly profit based on that price. Find the price that generates the maximum profit and find the maximum profit. Select one: a. p = $38f (p) = $1,150 b. p = $19f (p) = $1,150 c. p = $38f (p) = $10,763 d. p = $19f (p) = $24,976(r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to state. The percentage of individuals who own a home in Indiana can be modeled by C(t) = –0.6t + 76, where t is the number of years since 2005. For New Hampshire, the same model isgiven by N(t) = 0.5t + 73. Did or will Indiana and New Hampshire ever have the same homeownership rate?
- (D2-4D+4)y = 6e2x / x4Solve for the general solution of this D.E.d2y/ dx2 + y = xsinx and show that the solution is y=c1sinx +c2cos x - x2cos x/4+xsinx/4. A woman saved GH¢ 30,000 in a bank A, whose rate was x % per annum and GH¢ 20,000 in another bank B whose interest rate was y % per annum. Her total interest in two years was GH¢ 6,400. If she had saved GH¢ 20,000 in bank A and GH¢ 30,000 in bank B for the same period, he would have gained GH¢ 200 as additional interest. Find the values of X and Y