Solve the following differential equation by variation of parameters. Fully evaluate all integrals. y"+9y=sec(3x).

Q: 5.41 through 5.43 Determine by direct integration the centroid of area shown. Express your answer in…

A: We have to find the centroid of the mass in terms of  and

Q: Consider F any invertible tensor and Q any orthogonal tensor. (a) If you V-number is odd, show that…

A: Given,  is an invertible tensor and  is an orthogonal tensor.The -number (number of tensor indices)…

Q: A large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt is dissolved.…

A: Given that a large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt…

Q: sickle cell disease affects approximately 1 in 15000 hispanic Americans. the test for sickle cell…

A: The objective of this question is to determine the probability that a randomly chosen Hispanic…

Q: Find the general solution of this equation: 9y" +6y' + y = = t² t

A:

Q: f(x,y) = ex + e³ s.a x + y = 2

A:

Q: need help

A: For instance, putting x = 1,x2 + x2 = 12 + 12 = 1 + 1 = 2.Thus, The Blank will be filled with…

Q: Sketch the graph of the function with points (-2,0), (0,0) and (2,0) (4,2) and vertical asymptote at…

A: The objective of this question is to sketch the graph of a function given certain points,…

Q: How does a favorite award-show (Academy Awards) or TV show (America's Got Talent) use voting…

A: The objective of the question is to understand how popular award shows or TV shows use different…

Q: 2. Let us remember that the Subgradient Method minimizes f(x) using the following iterative update:…

A:

Q: Study this system of equations.   4x + y = -16 y + 4x = -4   Which statement…

A: The objective of this question is to determine the solution to the given system of equations. The…

Q: (3) Solve the following differential equation y" - 2y+2y=2x-2, y(0) = 0, y(T) = π.

A: The solution has been provided.Explanation:

Q: Mauro Products distributes a single product, a woven basket whose selling price is $27 per unit and…

A: 1. Break-even point in unit sales1300baskets2. Break even point in dollar sales35100dollars3 .New…

Q: Consider the multivalued function for sin-1 z given in Eq. (3.7-2). Show that if z is a real number…

A: The multivalued function for sin^-1 z is given by:sin^-1 z = (-1)^n (π/2 - sin^-1 (-z)) + nπwhere n…

Q: Use the Laplace transform table and the linearity of the Laplace transform to determine the…

A: L{e4tsin(8t)−t4+e6t}=(s−4)2+648​−s524​+s−61​​Explanation:Step 1:To find the Laplace transform of the…

Q: Let A = {1, 2, 3, 4, 5, 6} and B = {a, b, c}. Find: a. Card(A x B) b. Card(A x A) c. Card(AB) d.…

A:

Q: as a #1 Assume that Z= z (xvy) is implicitly determined as function of x, y by the equation Sin…

A:

Q: Use the linearity property and the basic Laplace transforms to find F(s) = L{f(t)}. a. f(t) = 2t³ -…

A: ​(a) L{f(t)}=s412​−s2+4s​+2(s+3)1​​​(b)L{f(t)}=2s3​−2(s2+100)s​−s2+2510​​Explanation:Step 1:​ a.…

Q: determine the contour relationship by letting z = m , m is an element of the reals forz =…

A: Please refer to the explanation below. If you need any clarification regarding the answers provided,…

Q: Questions: 1 part d handwritten please not typed

A: If z=z0​ is a zero of order n of f(z), then f(z)=(z−z0​)ng(z), where g(z0​)=0 and g(z) is analytic…

Q: Use the definition of the Laplace transform to find F(s) = L{f(t)}. f(t) = {2t+1 (2t+1 0 ≤t<2 3-t t≥…

A: See in detailsExplanation:

Q: Let X be a normed space and let 0x0 EX. Show that there is f = X* such that f(x) = 1 and ||f|| =…

A: Given, a normed space  and .It is required to show that, there exists  (the dual space of ) such…

Q: Select True or False for each value for x that solves the equation x2 = 300.

A: The objective of the question is to find the values of x that satisfy the equation x^2 = 300 and…

Q: H4. Consider an ODE d dx(t) = fi(x,y) ty(t) = f(x,y), d dt that has precisely two equilibrium…

A:

Q: 8. For a given set A, and an equivalence relation R defined on A, select one property and prove it.…

A:

Q: A system of two linear equations has no solution. The first equation is −15x + y = 18.   Select…

A: The objective of this question is to find a second equation that, when combined with the first…

Q: Consider a point particle with position vector r = (x, y, z) in Cartesian coordinates, moving with a…

A: The objective of the question is to find the position of a particle as a function of time, given its…

Q: Set of residue classes Z6 is equipped with the usual operations of multiplication and addition of…

A:

Q: X² = 0 0 02-2 X 132 Find the general solution of the system of equation as

A:

Q: U.S. Citizens 65 Years and Older The number of U.S. citizens aged 65 years and older from 1900…

A:

Q: Assume that h: [a, b²] → R is a continuous function and let G : [a, b] → R denote the following…

A: Answer Explanation:

Q: Find a differential equation whose general solution is y = c₁e²t + C₂e-2.

A: Note: Your general solution should be: .The differential equation for this general solution needs to…

Q: 2x₁ + x + x; + x = 0 x₁ - 6x1 + x3 = 0 3x₁ - 5x₂ + 2x3 + x₁ = 0 5x ·4x2 + 3x3 + 2x₁ = 0

A:

Q: Minimize the function ƒ : R² → R given by f(x1,x2) = x² + 2×₁×2 + x² on the set X = {(x1, x2) Є R² :…

A:

Q: In projecting an image onto the xy-plane, suppose that the viewing point (the center of projection)…

A: We know that,

Q: (7) Find the general solution of the ordinary differential equation x²y" + xy' - y = 8x²e²x.

A: See l solution in image Explanation:

Q: defined as follows: 1} and consider the inner product on F(X) (f,g) = f(-1)g(-1)+2ƒ(0)g(0)…

A:

Q: Consider the network (G, w) with V(G) = {a, b, c, d, e, f}, E(G)= {ab, ac, ad, ae, af, bc, bd, be,…

A: Ans-Kruskal's algorithm is a popular algorithm for finding the minimum spanning tree (MST) of a…

Q: 6.(3.1) (1) Let f(x, y) = xy³+x²+y². Find fxx, fxy, fyy and evaluate them at x0 = = (2, −1). (2)…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: prove the formula of Mersenne primes

A: A number of the form is a Mersenne prime if and only if p is prime.To prove this we need to show…

Q: Solve by trigonometric substitution 2x² S- dx 1-x2 Draw the triangle with values on each side

A: We have to solve the integration  by trigonometric substitution.

Q: With a selling price of $125.000 a down payment or $20,000, and a mortgage rate of 8% for 30 years…

A:

Q: Given the sequence defined by the following recurrence relation: ⚫ b₁ = 12 . ⚫ b₁ = 29 b=5-b-1-6.…

A: Given that:Wehave to prove that  for any non negative integer nFor :The statment is true for For…

Q: (1) Consider the space M2×2 (R) of 2 x 2 matrices equipped with the usual addition and scalar…

A:

Q: All vectors and subspaces are in Rn. Note you only have 5 attempts for this question. Check the true…

A: We have to answer true or false

Q: 8. Sketch the graph of the following equations that are given in spherical coordinates (each of them…

A: The spherical coordinate system is given byAnd, We have the following relations:

Q: The circle graph below shows the average water usage by month. If a family uses 45,000 gallons of…

A: The objective of this question is to find out how many gallons of water the family used on the…

Q: Q3. By applying. a suitable operational theorem, determine -1 ड 2 [ 5 in (5-10 ) ], 3 where In (x) =…

A:

Q: a. Find the most general real-valued solution to the linear system of differential equations x1(t)…

A:

Q: Find the relative extrema of the following functions and determine their nature (maximum, minimum or…

A: (b) Given that       differentiating partially with respect to  Now critical points obtained from…