A mass weighting 64 lbs stretches a spring 2 inches. The mass is in a medium that exerts a damping force numerically equal to 7.5 times the velocity. Suppose the object is displaced an additional 5 inches and released from rest. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =

Q: Problem 8. In R4, let W be the subset of all vectors a1 a2 V= az a4 that satisfy a4 a3 = a2a1. (a)…

A:

Q: 1 x² dA, where R is the region enclosed by the circles x² + y² = 1 and x² + y² = e² + y² , by…

A:

Q: 4. Evaluate cos (1/4) using MSE (round off your answer in 10 decima places) Obtain the series…

A:

Q: Show that the function f(z) = z is nowhere analytic on C.

A:

Q: Which of the following is not true? A Sin(x²)dx= limin(x²)dx c (B) None of the given choices .5 dx ©…

A: Solution

Q: 9 The two complex numbers V and W represent two reactances connected in series. Calculate the total…

A:

Q: 5. Given that W= √y The value of x,y and z are measured with maximum percentage error of 1%, 2% and…

A:

Q: Simpson's Three-Eighths (Use n = 12) 9. So dx (37 1 3x²+3, 0

A:

Q: ) y'= 4y-3x 2x-y

A:

Q: Let h be the vector field h(x, y, z) = (2xy + ²)i + (x² − 2yz)j + (2x= − y²) k. (a) Show that h is a…

A:

Q: 1. Find lim / ¹+ 8-0 G Hint 1: If <1 then Hint 2: Use the ML-inequality 1+2-e² -dz, where C: 2(t) =…

A:

Q: The Laplace transform of the function f(t) = e³-t(2t - e³t)² is:

A:

Q: Separation of variables The lateral radiation of heat from a bar of length L insulted at both ends…

A:

Q: Problem 9. Consider the linear operator L: R2 R² defined by L ([2/2])=[ x2x1 2x1 + x2 Let = {[1]…

A: We have to find the transition matric from one bases to another.

Q: Choose the correct result a) lul= √u.u b) (ux v).v = 0 c) uxv=vxu d) uxv=-(vxu)

A:

Q: A mass of 15 kilograms stretches the spring 0.5 meters. Use this information to find the spring…

A:

Q: 1. Find the Fourier series of the given function f(x), which is assumed to have the period 2. a.…

A:

Q: a) Find the 3 x 3 matrix Y that describes a rotation by 30° about the y-axis in 3-dimensional space.…

A: Solution

Q: To integrate x3 exdx, we apply integration by parts and in the form u dv, u is set as: Ox

A:

Q: Given a Hermitian space E, for any linear map f: E→ E, if f is skew- self-adjoint, then f has…

A:

Q: You will need to create a table with the following information for each cube: 1. Side length…

A:

Q: suppose A is a positive real number, determine the area of the traingle enclosed by the lines x=0,…

A:

Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

A:

Q: You are currently investing your money in a bank account which has a nominal annual rate of 7…

A:

Q: Use the power series 1 -Σ (-1)^x, x < 1 1 + x n = 0 to find a power series for the function,…

A: The Maclaurin series is a special case of Taylor series. When the Taylor series is centered at any…

Q: (part 2) Give an example of a set of data for which the mean is lower than the median.

A: To give an example of a set of data for which the mean is lower than the median.

Q: 10. 5² (2 sin x 2 sin x + 3cos 2x)dx

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: For each problem below, use algebra to answer the questions. You may find it helpful to draw and…

A:

Q: if X=F(uiv) and y=g (uiv). Shot that Su ах Lugu - Fugu av = ? av = ? ах

A: Using Cramer rule for solving system of two equations

Q: Let s in G, s is not equal to 1.

A:

Q: 4 In evaluating Add your answer 2 dx , is same as evaluating lim cos-¹(f(x)). Determine the value of…

A:

Q: Given the dual D of linear program P : D: min z = 16y - 8y +20y -20y 1) 2y1 +2y3 -2y4 >= 2 2) y1…

A:

Q: Solve the following recurrence relation using generation functions: an = 6 an-1 6 an-1-9 an-2, Show…

A:

Q: Sketch the following functions -2. x² + y² + 2y + 1+ 2+ z = 0 -3. z² = x² - 4y² 4. z = -x² - y² - 1

A: We need to standardized equations to get type of surface they represent and then draw it

Q: a. Convert complex number (−2 − 6 i) to the polar form and represent it graphically

A:

Q: How many integers 2 ≤ n ≤ 65 have no prime divisor less than or equal to ¹/³?

A:

Q: The base of a solid is in the first quadrant bounded above by y = 5 and below by y = √5x between x =…

A:

Q: sin næ Let {fn(x)} = z = [1,2] and n = 1,2,3,.... (a) Find the pointwise limit of the sequence…

A: The given sequence of functions is defined as follows: fnx=sin nxnx2, x∈1, 2 and n=1, 2, 3

Q: A given partial fraction 2x (x-1) (x+4) (x2²+1) A x-1 + B x +4 + Cx+D x² +1

A:

Q: 1. Evaluate the following integrals 1+x a) jx²P, (x)dx b) dx hint let x=21-1 x

A:

Q: Q1. Find the half-range sine and cosine Fourier series for f(t) = t in each case. 0 < t < 2. Draw…

A: The following solution is only for question 1 of the image. Please resubmit question 2 separately if…

Q: Find a particular solution of ds dt 1 I cost determined by s=3 when t = 1 3

A: We will find particular solution

Q: Consider the following subsets of real plane R termine with graph: Arcwise connected A = ((x,y): 0 ≤…

A:

Q: Consider the function f(x) = 4xe~²². Identify the locations where /has transition points. (Give your…

A:

Q: ds = 5tª √s. Find the complete solution of dt

A:

Q: 1. Prove or disprove that (pg)→r and p(q-r) are equivalent.

A:

Q: A mass of 15 kilograms stretches the spring 0.5 meters. Use this information to find the spring…

A:

Q: السؤال 3 the kinetic energy of a particle of mass 5 moving with velocity 51-31-6k is .I 150 .II 175…

A:

Q: ind the sum of the following convergent series. lim 348 lim 348 lim 11 Σ [tan" (2n-1) - tan^³ (2n+…

A:

Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

A: