Determine X(S) expressed as a rational polynomial with simplified numerator and factored denominator a. x(t) = {t2 +2e-2t + sin(3t)} u(t) b. x(t) = 2tcos(2t)u(t) - use theorem on multiplication by t

Q: Solve: ch= 긍 I/2 들 (1) 나르ㅠ To d

A: Given integration is cx=1T0∫-T2T2(1)e-jx2πT0dt

Q: Το test the series Σ n=1 so we could also investigate convergence using other methods.) - 3n for…

A: Here given series ∑n=1∞e-3n

Q: A thin plate with uniform density is placed in the region bounded by the circle ² + y² = 25 in the…

A: Given that a thin plate with uniform density is placed in the region bounded by the circle x2+y2=25…

Q: onsider the following function. f(x) = ln(1 + 2x), a = 4, n = 3, 3.8 ≤ x ≤ 4.2 (a) Approximate f by…

A: Follow the steps.

Q: Find the volume of the solid formed by y = 4 sin(x) bounded by x = 0 revolved about the x axis on…

A: We have to find the volume of the solid formed by y=4sinx bounded by x=0 revolved about the x axis…

Q: The number N of trees of a given species per acre is approximated by the model N = 2000 (10-0.12x),…

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A: We will use the gradient to find the all critical points and then use the hessian metrics to…

Q: 5. Solve these differential equations by using the variation of parameters method. 4+36y=csc 3x (b)…

A:

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: 4 Consider the given integral is ∫0πsintdt. The given integral can be written as ∫0πsinxdx. We have…

Q: A) Find MS (B,C) B) Find a basis for the kernel of S C) Find a basis for the range of S D)…

A:

Q: 1. (a) Find the Fourier series of the function f(x) = 1 |x|, -2<x≤2 (b) Hence prove that 1 + 3/2 +…

A: 1. (a) Given,                 f(x)=1-x, -2&lt;x≤2

Q: please answer

A:

Q: Solve the initial-value problem y" + xy + y = 0, y(0) = 0, y'(0) = 1 in the form of a power series…

A: given initial value problem y''+xy'+y=0           ...i  with y0=0 , y'0=1  find the solution in the…

Q: Simplify the following with out cesing + cеsingtue deного inator 5 3+i

A:

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

A:

Q: Use spectral decomposition to orthogonally diagonalize the matrix A = ·[ -7 24 7 24

A:

Q: In exercise 6 to 10 use the rule method to describe the following set. 6.A={3,7,5,9,11,13} 7.…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are…

A: We will plot points and join them to find graph For mid point rule 1st we need to find intervals and…

Q: 30. E=2*10^5 I=30000 L=600 W=25 y = dy dx = W 120EIL 3 (-x ² + 21³x² - (^x) W 120EIL (-5X² +…

A:

Q: (RSA public key cryptosystem) = Bob chooses the secret primes p = 5 and q Bob chooses the encryption…

A:

Q: Compute с -ater-clockwise see from above. where xdy - y dx ус is the unit circle center at origin…

A: Introduction: In vector calculus, another very important theorem is Green's theorem. It makes a…

Q: solve the simultaneois equation (dx)/(dt) = 3x + 2y (dy)/(dt) + 5x + 3y = 0

A:

Q: defined on the interval (-5,7). a.) f(x) is concave down on the open interval (-5,0) J(x)=xVx² +1…

A: From the above details we have,

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

A:

Q: A. Find the volume of the solid generated by revolving the region that is bounded y = x + 3 and the…

A: by Washer Method we know  Volume of a solid generated by revolving the region bounded by y=f(x)…

Q: Let's consider the following differential equation y = xy + 1 = f(x, y) and the following initial…

A: given :  y'= xy +1  =f(x ,y)       y0 = y(1) =5    x0 =1 , y0=5 ∆x=1

Q: 2 3. (a) At any point of the curve x = t, y = t², z = t³. Find the unit tangent vector and unit…

A:

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: Solve the given initial-value problem. y" + 6y'7y = 11e2x, y(0) = 1, y'(0) = 1

A: To find the solution of the given differential equation we first find the complementary function and…

Q: 3. (30 points) Diagonalize the matrix A = 5 0 1 -1 05 0 0 0 0 4-3 0 -2 0-3 if possible.

A: 5000050000-30000-3

Q: (3-zi) (x+y)=3+2i x+2=1 X

A:

Q: very C

A: Given as, F:X→Y be linear. Cauchy sequence  Fxnis Cauchy in Y.

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y= 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x…

A:

Q: Note: Answer all the questions. Ꭷ дуг ď²v 1. (a) If v zlog(x + r) - r, where r² = x² + y², then show…

A:

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: n open field is bounded by a lake with a straight shoreline. A rectangular enclosure is to be…

A: This is the problem of the Application of Calculus.

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: Answer the following questions for the function defined on the interval [-5, 7]. a.) f(x) is concave…

A: Given:   f(x)=x√(x²+1)

Q: . Consider the following matrix A: 3 1 1 -1 1 4 1 5 a) Show that the matrix A is positive definite.…

A: The matrix is A=31-1141-115. We need show that the given matrix is positive definite and then…

Q: Simplify the following using the algebra of propositions. Show your solutions.

A:

Q: verzvalaable X/2 2 (2+xi) (x +i). 2 tua GX 92+49 3 2 + 71

A:

Q: (a) At any point of the curve x = t, y = 1², z = ³. Find the unit tangent vector and unit normal…

A: According to guideline I only solve the first one. please post other question as new.   given: x=t,…

Q: C = kmaxt² 5 + 2t² + 3.5t

A:

Q: 40. The cubic x³ - 2x² - x + 1 has three real roots; one is negative. a. Find a rearrangement that…

A:

Q: Find the volume V of the described solid S. The solid S is bounded by circles that are perpendicular…

A: The given problem is to find the volume of the given solid bounded by given parabola and x-axis.…

Q: Two hundred fifty-eight TCC faculty members were surveyed regarding their plans for the upcoming…

A: Given that total faculty members are 258 . To find: 1.number of only grade paper.             2.…

Q: Set-up the integral that would find the volume of the solid of revolution when given region bounded…

A:

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

A:

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

A:

Q: 1. Why do you think steady-state's are called steady-state's? Hint. Consider the problem da dt where…

A: We need to explain the meaning of steady state of a differential equation. Let us consider the…