A mass of 1 kg is attached to a spring and a damper, set in motion, and observed to move as x(t) = 3 e-2t sin(3t). Determine the spring constant k (in kg/s²) and the damping constant c (in kg/s), where c= = 2 mwo S.

Q: Let F be a field and let V, be the F-vector space of polynomials in F[x] of degree < n. Which of the...

A: Let V and W be vector spaces over a field F, we call a function T:V--&gt;W a linear transformation f...

Q: B. Evaluate each expression. Given Working Outs Answer 1. P (6,2) 2. Р(33) 3. P (8,2) 4. P (5,3) 5. ...

A: To evaluate the following permutations, P(6,2) P(3,3) P(8,2) P(5,3) P(9,4) Solution is given in th...

Q: Let a be the anqle between the vectors u=(3,0,4) and v=(4,0,3). Then * O cos(d) = 24/25 O None of th...

A: Introduction: The dot product of two vectors always produces a scalar quantity. When two vectors mak...

Q: (a) Find the projection matrix P describing the projection of Rª onto = span{ (b) Calculate rank(P) ...

A: Given that Projection of ℝ4 onto V=span110-2, 1511 Then V is the column space of A=111501-21 Solutio...

Q: et A be tx8 matrix. Knowing that Nullity (A) = 2. The %3D

A: In the given question, the concept of rank plus nullity theorem is applied. Rank plus Nullity Theore...

Q: 7: r point/s of f(=)=I islare

A:

Q: Naia has 4 pairs of shoes (white, black, gray, maroon) and 3 bags (red, blue, green). In how many wa...

A: Given Naia has 4 pairs of shoes and 3 bags we have to find number of shoe-bag combination.

Q: A 13-year-old, M/N Golden Retriever named Chaska (45 kg) has not been able to bear weight on  his re...

A: Given: Weight of the patient = 45 kg 1kg = 2.205 lb 45kg = 2.205*45 = 99.225lb

Q: f:AxRxZ-> Rx R where. %3D is f injective ? is Prove it. f surjective?

A:

Q: The dosage is 5 mg/ kg po SID for 30 days. Eliza weighs 100 lb. Doxycycline comes in 50 mg and  100 ...

A: Since you have asked a question with multiple subparts, we will solve the first subpart for you. To ...

Q: (b) = R°, W is the set of all (x1, 22, 13) such that 2xi = -x2+ X3. (c) V = R³, W is the set of all ...

A:

Q: a. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal ...

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: (i) Find gcd(2,3+5i) in Z[i], (ii) Show that 3 + 4i and 4-3i are associates in Z[i] (iii) Determine ...

A: (i). 

Q: To go on a summer trip, Alan borrows $700. He makes no payments until the end of 5 years when he pay...

A: Here the interest charged is simple interest. So the formula we need to use to compute interest is I...

Q: Graphs of the velocity functions of two particles are shown, where t is measured in seconds. (a) Whe...

A:

Q: 10. Is x - x - 2 a factor of x³ - 6x² + 3x + 10 ? Explain.

A: Given expression is x3 - 6x2 + 3x + 10

Q: ) Find x if f (x) = - 2. %3D

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: estion 2. Prove that if AUB= A is true, then AnB = B is also true, AND CONVERSELY.

A:

Q: How many different words can be formed with the letters of the word ‘SUPER’ such that the vowels alw...

A:

Q: k the icon to view some finance formulas. ctive annual yield for a 12.5% compounded monthly investm ...

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: Give an example of a vector space V over a field F, and of a linear transformation T: V –V that is: ...

A: A transformation T:V→W is injective(one to one) if each element of V mapped on distinct element of W...

Q: 3. Given the following system: x, - 2x, + 2x, + 3x, = -1 -3x, + 6x, + x, + 5x, =-11 2x, %3D 4x, 2x, ...

A: Given: Let us consider the given systems, x1-2x2+2x3+3x4=-1 -3x1+6x2+x3+5x4=-11 2x1-4x2-2x3-6x4=10 (...

Q: 11. Explain why odd-degree polynomial functions can have only local maximums and minimums, but even ...

A: Solutions 

Q: The highest order of polynomial integrand for which Simpson's 1/3 rule of integration is exact is (A...

A:

Q: 5. Solve the system of equations using the substitution method, show all your work: y= -+3 y-z+1

A:

Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(æ') ...

A:

Q: If f(x) has a root between a & b then f(a) and f(b) are O both positive O both negative O oppositely...

A: It is directly Oppositely signed by Bolzano Theorem. But, I have explained without using Bolzano The...

Q: Example 1 Jasjeet has made a scale drawing of a vegetable garden she plans to make in her backyard. ...

A:

Q: If Ali drive 4 sessions, he have a 60% chance of winning. Assuming that the sessions are independent...

A: It is given that the probability to win is 60%.  

Q: The accompanying figure shows a network of one-way streets with traffic flowing in the directions in...

A:

Q: 13. Let F (x, y) = (1(²y²)x, af(x²y? , a(y²) Y) and suppose that C is a smooth curve parametrized a(...

A:

Q: Solve each of the following s determine the solution/s:

A: 7. The given set of equation is  3u+5v=156u+10v=-30 plot the equations on the graph  the first equat...

Q: 2) y In(y) dx + (1+x²) dy = 0

A: Given: ylnydx+(1+x2)dy=0⇒y lny dx = -(1+x2 ) dy⇒dx(1+x2) = -1ylnydylet lny =t

Q: Let B = {(1,0, 0), (0,4,–3), (4, 0, 3)} be a basis for R3. Applyin Gram-Schmidt procesk on B, we get...

A: Introduction: The Gram-Schmidt orthonormalization process is very significant in the inner product s...

Q: O a. y[n] = ay[n – 1] + a[n] O b. y(t) = x(2t + 1) O c. y[n] = nx[n] O d. y(t) = ax(t) +b

A: from the options  option b and option d are time invariant 

Q: Find parametric equations for the line. (Use the parameter t.) (0, ),, 1) The line through the point...

A: Given- The line through the points 0, 12, 1 and 9, 1, -9 To find- Find parametric equations for the...

Q: Suppose any possible arrangement of 8 letters is considered a word and the letters are chosen from 2...

A:

Q: Given: AC BD and AD BC Which could be used to prove ADCA ACI O ss O SAS

A: Introduction: Two triangles ABC and DEF are congruences if their corresponding sides are equal, that...

Q: 1 dydx JE yª + 1 Evaluate the double integral by reversing the order of integration

A: Let us consider the double integration I=∫ab∫g(x)h(x)f(x,y)dydx On changing the order of integration...

Q: Show that if G is a cyclic group then G is abelian. : Let n>0 be a positive integer, and let a and b...

A: Let G be a group and let ZG be center of  G. Here , ZG = a∈G / ag = ga , ∀ g ∈ G We need to show tha...

Q: Let u= (4,15) and v=(2,-3,1). Then (2u+v).(u-3v) is equal to:

A: Given,    u=4, 1, 5, and v=2, -3, 1

Q: Use the graph y=g(x) to graph the given function. 12- 6- -12 -9 -6 -3 12 -3- y = g (x) -6- -12- y=5g...

A: Given: Let us use the given graph y=g(x) to graph the given function y=5g(x)

Q: dz at (u, v) = (1,1) if du Use chain rule to find -z + 1);), = x = 3u – v², y = u® z = x sin( (y? | ...

A: If the input of the function is more than one, then it is called a multivariable function. In this p...

Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

A:

Q: A chemist has two alloys, one of which is 20% gold and 15% lead and the other which is 30% gold and ...

A: X is the amount of the first alloy Y is the amount of the second alloy   20% = 0.20, 15% = 0.15, 30%...

Q: Theorem 11. Let f be a continuous function on R such that f(x+y)-Df(x)+(y) vx, yER. Show that f(x)3c...

A:

Q: Find the general function M(x, y) so that the equation is M(x, y) dx + (sin xe ^y + xy) dy = 0

A: The given equation is M(x,y)dx+(sinxey+xy)dy=0We have to find general function M(x,y) Exact Differen...

Q: Errors associated with both calculations and measurements can be characterized with regard to the fo...

A: Correct Anst is Prediction.

Q: 1.7z+2.5 Approximately how many iterations is needed to solve for the root of z2 using 0.9 the Fixed...

A:

Q: 1 (s) T(s) 4. For the rotational system shown, solve for G(s) = 100 DL

A: