A mass on a spring vibrates horizontally on a smooth level surface (see the figure). Its equation of motion is x()-3sin f, where t is in seconds and x in centimeters. Find the velocity at time t. Lonto Ov(t) = sin 3r Ov(1)=2cos 3r O v(1) = cos 31 Ov(t)=3sin 3r Ov(1) = 3cost equilibrium position

Q: Which of the following is NOT an axiom that the distance function in a metric space must satisfy?…

A:

Q: You are given the scalar field = -7y. a) b) c) d) Calculate Vo. Vo =( Calculate V at the point p =…

A:

Q: A comedian knows seven jokes, two are about the weather and five are about sports. In how many ways…

A:

Q: Solve the system of equations by graphing:

A: first we draw these two graph  given y=2x+1 and  -4x+8y=-16 on simplifying -x+2y=-4 y=-2+x/2

Q: Compound Interest Example Compound interest can be calculated using the equation A = P(1 + i)",…

A:

Q: (b) y" + 2y = 3 + 4 sin 2t 2 21

A:

Q: Let V be the plane with equation z₁ +222 + 3x3=0 in R³. Find the matrix A of the orthogonal…

A:

Q: 2. Which of the following matrix can be covariance matrix and explain your results. A = 10 3 1 250…

A: Property A covariance matrix must be symmetric that is M=MT The matrix positive semidefinite that…

Q: In each of the following problems, use the method of undetermined coefficients to find the solution…

A:

Q: Minnie Rose deposited $16,000 in Street Bank at 6% interest compounded quarterly. What was the…

A:

Q: The following system of equations is row reduced. How many solutions does this system of equations…

A:

Q: What's the solution? −2x-3y=28 x+2y+3z=-8 −3x−1y−2z=15

A:

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) 5x² +…

A:

Q: The following system of equations is row reduced. 1800-9 0 0 1 0 0 0 0 1 -1 4 6 -5 -8

A:

Q: A house painter removed the brass numerals indicating the house number from the door of 72712 Main…

A:

Q: A B D m (i), (ii) All (i), (iii) None (ii), (iii) Which of the following are correct? (i): If G is a…

A: Group and oder of the index group

Q: Jenelle bought a home for $300,000, paying 22% as a down payment, and financing the rest at 5.4%…

A:

Q: Let f(x) = 2x³ - 18x² + 4x + 14. The values at which f''(x) is zero are x = Concave Down interval is…

A: Answer :-

Q: Using the concept of the Determination of Integrating Factors, find the general solution of the…

A:

Q: The remaining problems require you to construct a mathematical proof by induction. Remember, if you…

A:

Q: Consider the linear system of its matrix form Az = b with A = ΤΟ 2 3 -4 1] 02 -1 -1 5 22 -5 2 4 20…

A: We will convert the matrix A into a row reduced echelon form(RREF) matrix by performing elementary…

Q: The sixth grade students in Mrs Schoeners awesome math class were surveyed on their favorite…

A: Number of student participated in the survey 50 Percentage of student choose soccer 60% Therefore…

Q: Find all the first and second order partial derivatives of f(x, y) = −2 sin(2x + y) + 8 cos(x − y).…

A:

Q: 3. Use definition to compute the Laplace transform (a) L{t²} (b) Given Compute L{f(t)}. f(t) -{t =…

A:

Q: 789-90

A:

Q: where and dt=2' y(0) = 1, y(0.1) = 1.01, y(0.2) = 1.022 (03)

A:

Q: Consider the function f(x)= - 2x³ +36x²162x + 3. For this function there are three important open…

A: The critical numbers of the function: f(x) is calculated by solving the equation: f'(x)=0 for x. For…

Q: The boundary of a lamina consists of the semicircles y = √₁ - x² and y = 25x2 together with the…

A: Answer :- The boundary of lamina consists of the semicircles y=sqrt(1-x2)and y=sqrt(25-x2)

Q: What is the constant of integration of the differential equation 2ydx + xdy - x^3dx = 0 when y(1) =…

A:

Q: 3. An angle measured from the 3 o'clock position counter-clockwise has measure 5.5 radians. In which…

A:

Q: Use Newton's method to solve the equation given the accuracy stated. x2 - 2x - 13 = 0 correct to 3…

A:

Q: 2. (f(x)=-5x-2 (g(x)=-2x+1 Point of intersection: 3. (f(x)=-x-2 g(x) = 2x + 10 Point of…

A:

Q: 3. Find a parabola that models the height of an object thrown in the air. Pick a time to find the…

A: The function f(t) is a rule that associates or fixes a number to the particular point t. If y=f(t),…

Q: A company manufactures paring knives and pocket knives. Each paring knife requires 3 labor-hours, 7…

A:

Q: solve the initial value problem (5+x)y' + y = sinx , y(0) = 1

A:

Q: Hey how did you get 25 and 60 to multiply with?

A:

Q: What number should come next in the series? 2/5, 3/7, 11/17, 13/19,

A: Sequence: It is an ordered set of numbers that follows some particular pattern.  Patterns can be all…

Q: 12. The University of Calgary's Institute for Space Research is leading a project to launch…

A:

Q: Explain why the following statement is false:                          “A subspace is any subset of…

A:

Q: Prove that f (x) = x2 is eventually greater than any affine function, i.e., any function of the form…

A: We see,       f(x) - g(x) = x2 - (ax + b)                       = x2 - ax - b = 0          if x = [a…

Q: Perform the indicated row operations on the matrix AA successively in the order they are given until…

A:

Q: 11. A matrix ME Mnxn (C) is called skew-symmetric if Mt = -M. Prove that if M is skew-symmetric and…

A: 11. A matrix M∈Mn×nℂ is skew symmetry and n is odd. We have to prove that M is not invertible. Also,…

Q: 4. A201 0-11 A = 2 1 -1 A¹ = 15-4 31-1 12-2 Use the information above to solve the system of equatic…

A: x=24 y=24 z=34

Q: fine the general Solution of 2 Ⓒ dy =secy dx

A:

Q: Use the &,&-definition of a limit to prove the following limit. lim (az + b) = azo+b, for complex…

A:

Q: A (ii), (iv) B E (i), (iii), (iv) All None (ii) Which of the following are true? (i): There is an…

A:

Q: - {x|f, 7(x) dx = 17. V = C[a, b], S = 0 0

A:

Q: 2. Evaluate the integrals a) 1 z y S SS ze-y² dxdydz ze 0x0 b) SSS 2xdV ; E = {(x, y, z)|0 ≤ y ≤ 2,0…

A: Evaluate the integrals. a) ∫01∫xz∫0yze-y2dxdydz Integrate the function. I= ∫01∫xzze-y2x0ydydz…

Q: Solve the initial value problem y' y² + 2xy x² 1 find the interval of the maximal sol =

A:

Q: Q1. Solve dy (x + 2). dx +y = f(x), where ƒ(x) = { 2x, 4, 0≤x≤ 2, x > 2. y (0) = 0,

A: