b\A 1 kg mass is attached to a spring with constant 13N/m. The system is immersed in a medium which offers a damping force numerically equal to 6 times the instantaneous velocity. If x is the displacement of the mass from equilibrium, measured in meters, then x" + 6x + 13x = 0. Find the general solution describes the displacement of the mass.

Q: A group of 1200 incoming first year students was interviewed to tell which modality they prefer to…

A: let  A=students who prefer full-online modality B=students who prefer blended learning modality…

Q: Q7. A liquid is swirling around in a cylindrical container of radius 3, so that its motion is…

A: Given- A liquid is swirling around in a cylindrical container of radius 3, so that its motion is…

Q: Question 3. Solve the IVP x" + 2x' + 2x = 0. when x(0) = 0, x' (0) = 1

A:

Q: Find the volume of the solid whose base in the xy plane is the region bounded by the graphs of y=x²,…

A: Introduction: Volume and the triple integral are equivalent. Integral is mostly used to calculate…

Q: Question 4. Apply the reduction of order method to find the general solution of tx" − (2+t)x' + 2x =…

A:

Q: Determine the inverse Laplace transform of the function below. 3s + 27 s² + 4s +13 Click here to…

A:

Q: The region S is the base of a solid with parameters y=x^3 x=4 y=0  For this solid, each cross…

A: Given: The region S is the base of a solid with parameters: y=x3, x=4 and y=0. For this solid, each…

Q: • tan a = 2√6, a € [0, π] 3 •cos 3 = - and sin 3 < 0 5 Find the numerical value of the following: 1)…

A:

Q: Use either cylindrical or spherical coordinates to find the volume of the solid S enclosed by the…

A: We have to find the volume of solid S enclosed by the cone z=x2+y2and the sphere x2+y2+z2=2

Q: F(s) = 4 3s7 (s² + 3)

A:

Q: Consider the following initial-value problem. Find L{f(t)}, for f(t) = L(f(t)) : y" − 3y' = 4e²t —…

A:

Q: Starting with the graph of f(x) = 9, write the equation of the graph that results from a. shifting…

A: The graph of y=f(x)-a shifts a units downward to  the graph of y=f(x). Where a&gt;0. The graph of…

Q: Match the equation with the graph. Include the directrix that corresponds to the focus at the…

A: The given equation is r=5020-5cosθ. To identify\find: (i) directrix of the given curve. (ii) sketch…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: Consider the following integral: (³ In(2x) dx.

A:

Q: b. The FIFA World Cup 2018 in Russia consists of 32 teams. How many ways for the top 3 teams exist?

A:

Q: 1. Compute the Fourier transform of the following signal: x(t) = e-3|t| sin(2t)u(t)

A: Hint: The convolution theorem of Fourier transform states that, the Fourier transform of the…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: Let D be the region bounded by x=0, y=0, and x+y=a, where a is a positive constant. Find the center…

A:

Q: Enrollment at College is increasing at a rate of 42% per decade. What the yearly percentage Round…

A:

Q: (x, y) = x¹ 3 1 0 120 001 y, x, y = R³

A: The function &lt;x,y&gt; will be inner product if  1) Non negetivity: &lt;x,x&gt; ≥ 0, for all x and…

Q: Evaluate with the order of integration reversed..... -√4-y x dx dy

A:

Q: please explain step by step why 1/2 is the answer

A:

Q: Q.4 Consider the differential equation (2y-2)y=2x-1.

A:

Q: 24. Let f(x)=2x-6). Evaluate f(-3). A. 0 B. 12 C. -12 D. -6.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Problem 16. Consider the subspace HC R³ defined by a+b+2c -b-c 2a+b+3c {[₂ (a) Find a basis for the…

A:

Q: Determine £¹{F}. F(s) = 2 4s - 18s +2 s(s-4)(s-6)

A:

Q: Classify the equation as separable, linear, exact, or none of these. Note that it is possible for…

A:

Q: An investment that has a maturity value of $5,000 and is discounted 4 years and months before…

A: The maturity value of the investment is $5000 Use the formula  PV=FV1+rn Where PV is the present…

Q: Determine £¹{F}. F(s) = 2s² +110s +568 (s-5) (s² + 12s +61) Click here to view the table of Laplace…

A: We use partial fraction method and use results of inverse Laplace.

Q: 24 If cot(z) = Give exact answers. sin ( 2 ) = cos (1/7) = | tan(²/2) = (in Quadrant 2), find

A:

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A:

Q: Find the area bounded by y² = 4a(y-x), y² = 2a(x+2y-3a) and the x-axis

A:

Q: Find a unit vector in the direction of u and in the direction opposite that of u. u = (-5, 4, -3)…

A: Given vector is u = -5, 4, -3

Q: Where is f' undefined? at x = What are the critical values of f? at x = Where does f have local…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Graph to the image below and find the area enclosed by r = a sin 3θ. Integrate using polar…

A:

Q: For each of the following sets, if possible, write the set as null(A) or im(A) for some matrix A.…

A:

Q: se Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

A: I have given the answer in the next step. Hope you understand that

Q: Let R be a relation on A = {0, 3, 4, 7} and R = {(0, 3), (3, 0), (7, 3), (4, 4), (7, 7), (3, 7), (3,…

A:

Q: 2. The rate at which sand is excavated from a pit, in gallons per hour, is given by differentiable…

A: In this question, the concept of Riemann Sum is applied. Riemann Sum To estimate ∫abfxdx , Riemann…

Q: I) Determine whether S is a basis for the indicated vector space : 1) S = {(3,-2), (4,5)}for R² 2) S…

A:

Q: This question examines your understanding of sequences and convergence. Please tick all correct…

A: In the above problem, the definition of a convergence of a sequence in R, then is generalized to…

Q: 1 Suppose the supply for a certain textbook is given by p==q² and 1 demand is given by p= -- q² +…

A:

Q: Given the functions f(x) = x² + 3x + 2 and g(x) = x + 1, determine a simplified equation for h(x) =…

A: Solution :   Given that the functions   f(x)=x2+3x+2 g(x)=x+1

Q: (Growth and Decay) A culture initially has No number of bacteria. At t = 1 hour the number of…

A:

Q: roo sin(2) Compute (4) dx. fo x(x²+4)

A:

Q: b) Consider the matrix A = [a b] with a, b, c and d real-valued numbers. Under which condition(s)…

A: Negative definite: A square matrix is said to be negative definite if all the eigenvalues of the…

Q: 2. Use polar coordinates to carefully calculate an exact answer for SS √x² + y² dA on D = = {(x, y)…

A:

Q: Find the numerical value of the area under the normal curve that is above the mean.

A:

Q: Given that L{cos bt}(s) = s². Click here to view the table of properties of Laplace transforms. Le…

A: