line with a constant acceleration of -8 ms 2. A De in the direction that the particle is initially movin 0, at what time is the position of the particle give after

Q: 3. Find the F.T. of the following periodic signal -2 1 2

A: The given problem is to find the Fourier transform of the given periodic function with given signal…

Q: 2. (D² - 1)y = 2 1+ex

A:

Q: Max 3A + 2B S.I. IA+IB ≤ 10 3A+IB ≤ 24 IA + 2B ≤ 16 A, B≥ 0

A: We need to formulate the new LPP after the change in constraint 1. The LPP must be solved…

Q: Find bases for the colume space the row space and the 3 A- 6 15 1 column space of A- -YAR

A:

Q: Find the E.T. of the following periodic signal -2 1 2

A:

Q: Consider a horizontal parabola of the form ay² +by+c = x where a 0, and whose graph contains the…

A: Given: A horizontal parabola ay2+by+c=x, where a≠0 and whose graph contains the points -1, 3, 2, 4…

Q: Merc D If x_n converges there is to x, then for any & So natural number N such that n2N implies x_n…

A:

Q: Σn=0 (2n +∞0 (-1)" x²n+1 , XER a. Find the Maclaurin series for x sin (x²) b. Approximate the value…

A: The Maclaurin series for sin x is sinx=∑n=0∞-1n2n+1!x2n+1 So,…

Q: Let p: A is a proper subset of B. q: A and B are equal. Write: "A is a proper subset of B if and…

A:

Q: Let π, a € Z[i] with □ prime. Prove that if í þ ¤, then î and a are relatively prime. Let π, a, ß €…

A:

Q: 3- Show that the local truncation error at the pint (ih.jh) of the Crank-Nikolson approximation to…

A:

Q: Given data is Groups 0-10 10-20 20-30 30-40 40-50 Total No of student (f) 3 7 50x80100=40 8 12 10 40…

A:

Q: If a = 2a - a² and b =1-(1-a), show that a = b for all natural numbers n. Assume that a, is a fixed…

A:

Q: Exercise 2. Solve the optimal тахи (t) Sit. 3 control problem [( 1-2x² (4) +2^²^(()) + x' (t) = 4…

A:

Q: (a) linear map Suppose we are given linear maps Tij: Vj W; for each i,j. Construct a T: V₁0 V₂ W₁…

A: We shall solve first question only as you have asked more them one different question. For others…

Q: Which of the following statements is(are) correct? B. The dimension of the column space of A is rank…

A:

Q: Which of the following statement is true in ZZ? O O O (0=1+x)^AXE (0=A+X)^EXA (0=1+x)^AXA None of…

A: We want to find true statement.

Q: Find the area enclosed by y = x4 - 4x² + 4 and y = x² within -1 ≤ x ≤ 2. (-2,4) (-1.1) y=x² (1.1) O…

A: Area  bounded between curves y=f(x) and y=g(x) from x=a to x=b  A=∫abfx-gxdx Where y=f(x) creates…

Q: For each polynomial given, use the Rational Root Theorem to list the possible rational zeros. Once…

A: Given function is f(x)=x3+2x2-11x-12 Graph of the function is Since the graph cut the x-axis at -4,…

Q: Consider the integral /1-x² 1- y² dy dx. i. Sketch the region of integration. ii. Give a geometric…

A:

Q: Q.5) Determine Ixx, lyy and Ixy for the section shown below. y²= 3x y = x²/3 X

A:

Q: Show that the square of the length of subtangent at any point on the curve by2=(x+a)2 (b is not…

A: Here the given curve as by2=x+a2 Now differentiate this with respect to x,…

Q: At high temperatures, nitrogen dioxide, NO2, decomposes into NO and O₂. If y() is the concentration…

A: Given that dydt=-0.5y2 Solution a: Now, by variable separable method, we get' dyy2=-0.5dt…

Q: اعه W = {4; [0₁+0) IR is absolutely continuous what is absolutely continuous ?

A:

Q: 10/11 Cool Down The graph shows the bacteria population on a petri dish as function of the days d…

A: In this question, the concept of the exponent is applied. Exponent Exponents are used in the…

Q: Let T be a linear transformation that maps R" onto R". Which of the following statements is (are)…

A:

Q: The product of a 14 x 9 and a 9 x 4 matrix will have what dimensions?

A: In this question, the concept of matrix multiplication is applied. Matrix multiplication A matrix is…

Q: Find the value of 1-1/16 (x² + y²) dy dx + ſ', [~ ² * (x² + y²) dy de by expressing it as one…

A: From, the given integral, draw the region of integration.

Q: 9. Find the limit (if it exists) of the sequence (x_n) where x_n= n-3n^2.

A:

Q: Determine the limit of the sequence or show that the sequence diverges. If it converges, find its…

A:

Q: Consider the following equation: log(10)x = e(-x) a) Demonstrate that the given equation has only…

A: Use the following theorem and the formula, to obtain the solution. The error is calculated by the…

Q: Lesson 13.1 Graphing Reciprocal Functions For 76-85, find the indicated information for the given…

A: For the given graphing reciprocal functions find the required values :-

Q: (iv) Find the work done by the force field F(x, y) = x²i+ yeªj on a particle that moves along the…

A:

Q: Solve the given initial value problem. x'(t)= x(t) = 13-8 2 3 1 x(t), x(0)=

A:

Q: Part II. Direction: Solve for the root and the iteration function g(x) of the following functions…

A: It is provided that f(x)=sinx-x and the initial approximation of the root: p0=0.5. The number of…

Q: Ex3: Let X be a normed linear space. Use the Hahn-Banach theorem to prove the following statements.…

A: By the application of Hahn-Banach theorem,  we have to prove the following statements : i) For any…

Q: 7. Suppose that a set X is equipped with the finite closed topology. Which one of the followings is…

A: As per the policy, we are solving first question. Please repost the question and specify which…

Q: 6121 22) - 75eek = уз канк Aus: - (Seek + tank) / 5 = c + seek+tank ск

A:

Q: Determine the feasible region of this system. -5x + y ≤ 5 2x + y ≤ 2 -x + y 2 -5 x + y ² -2

A:

Q: The approximate value of y(3) for the initial value problem for dy/dx = cos(t) +sin(t), y(0)=0.5…

A: 4th order Range-Kutta method: The solution of y'=f(t, y), y(t0)=y0 is given by,…

Q: Both rectangular form and polar form are used to represent the same complex numbers. Explain, using…

A: We have to solve given problems:

Q: 4 S X the condition that the error for Trapezoidal Rule will be at most 10-6. 9. Given: dx.…

A: The error bound for the Trapezoidal rule is given by the formula E≤b-a312n2maxf''x where a is the…

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

A: By Trapezoidal Rule  ∫abf(t) dt≈h2ft0+2ft1+2ft2+2ft3+ft4h=b-an=π-04=π4 Divide the interval 0,π in 4…

Q: 1. Use the Greedy Algorithm to find a Hamiltonian circuit starting at vertex D in the weighted graph…

A: To find- Use the Greedy Algorithm to find a Hamiltonian circuit starting at Vertex D in the weighted…

Q: 9. Find the limit (if it exists) of the sequence (x_n) where x_n= n-3n^2.

A:

Q: 3) Let R be the solution region for the system of inequalities x² +9y² - 18y ≤ 0 y² + 2y = x² > 0 a)…

A: In this question, the concept of inequalities is applied. Inequalities Equations in mathematics…

Q: X' = Write the given linear system in matrix form. Assume X = dx dt dy dt X' = DETAILS dz dt = x - y…

A:

Q: (ii) Use Stokes' Theorem to evaluate F. dr, where F(x, y, z) = x²zi+xy²j+z²k and C is the curve of…

A: Given function F(x,y,z)=x2z i^+xy2 j^ +z2k^  Plane: x+y+z=1 Cylinder: x2+y2=9

Q: Find the solution of Uy = 36 ut + 10 u if Ux U₂ (x,0) = 3e-2t using the method of separation of…

A:

Q: Consider the function f(x) = 4x2 −x3. Provide the graph of the region bounded by f(x) and the…

A: Given: f(x)=4x2-x3, n=5 and the interval 0, 4. To find: Which type of Riemann sum(left or right)…