Diagonalize the following matrix. -15 -187 [-15 -15 12 15 P= D = 8 36 P-1 =

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" -…

A:

Q: 27 0 do 2+cos O

A:

Q: Let d, t € N be such that d | t. Prove that if x, y € Z are such that x = y (mod t), then x = y(mod…

A:

Q: Chinese Mathematics: specific Lui Hui's method to fing the square root: Now consider the MODERN…

A: Liu Hui's method for finding square roots, which is a historical Chinese mathematical technique, has…

Q: Use Green's Theorem to evaluate: L.F. F.ñ ds where F = (√x + 5y, 3x + 5y) and C is the boundary of…

A:

Q: 2. NASA can create a weightless environment by flying a plane in parabolic paths. The table shows…

A: GivenTime, tHeight, h1026900152902520306002531625303210035320254031400

Q: Define a digit to be an element of the set (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) 00 00 Show that Σ n=1 10 =…

A: We have to prove that

Q: 3   (i)  Construct a payoff table, indicating the events and alternative courses of action.…

A: As per the question we are given a data based on which we have to find :The payoff table The…

Q: x+y+z=4 2x+y-z=-3 x-y+z=3   Select the correct choice below​ and, if​ necessary, fill in the answer…

A:

Q: If vector A - 10i - 4j + 6k and B-2i+j, find: a. The component of vector A along j b. The magnitude…

A:

Q: Solve and reduce to simplest form where applicable: If it tookgallon of paint to cover 260 square…

A: If it took 1/5 gallon of paint to cover 260 square feet of wall in Tom's garage, we have to find…

Q: Show that if (x) and (YN) are bounded sequences, then lim sup (XN + YN) <lim sup XN + lim sup You

A:

Q: y" + 10y' + 41y = 8(t — π);_y(0) = 1, y'(0) = 0 the solution y(t). E: Denote the Heaviside function…

A:

Q: If C is a circle of radius 3 centered at the point (-3, 0), then evaluate $. (24. £ 2y — esin(x)) dx…

A:

Q: Where is the function (x) -- increasing X-4 2x-6 a) x € R,x * 3 Ob) x>6 c) x ≥ 4,x <3

A: find where the function is increasing

Q: A retirement account is opened with an initial deposit of $6,500 and earns 7.15% interest compounded…

A:

Q: 1 2 + xn (a) Prove by induction that în > 0 for all n € N. (b) Prove that (n) is a contractive…

A: (a) We have to prove by induction that xn &gt; 0 for all nЄ N.(b) We have to prove that (xn) is a…

Q: 1. Consider a rectangular tank that is standing on its square base of length 4 meters and a height…

A:

Q: Determine the inverse Laplace transform of the function below. 16 s² +25 Click here to view the…

A:

Q: (5) Within real numbers, let A = {x: 0<x< 1} and B = {r: 0<x< ∞}. Define f : A → B by f(x) = 1. Show…

A: A function f(x) from A to B is said to be bijective iff f(x) is both injective and surjective. To…

Q: w you found the relative extreme values using Calculus based methods a. Show how you found the…

A: Given function

Q: 2. Two matrices are said to be identical, solve the unknowns in the following matrix equation: [3y 8…

A: Two matrix are identical Note: According to the guidelines we are allowed to solve one question at a…

Q: Consider the relation R on the set Z defined by a Rb if |a| = |b|. Determine if R is reflexive,…

A:

Q: 2. Let B = {V₁,..., Vn} be a subset of Fn containing n distinct vectors and let A = [v₁... Vn] be…

A: Let B = {v1,..., vn} be a subset of Fn containing n distinct vectors and let A = [v1, v2,... vn] be…

Q: 4.8.) Find the SVD of the matrix A= 322 23-2

A:

Q: 12. If a group G has exactly one subgroup H of order k, prove that H is normal in G.

A:

Q: As an advanced math learner, what would be the top 10 most used theorums in Real Analysis?

A:

Q: Use spherical coordinates to find the volume of the region outside the cone = 1/4 and inside the…

A:

Q: 4. The upper hemisphere of the unit sphere can be parameterized, using cylindrical coordinates, as…

A:

Q: Solve the given differential equation by undetermined coefficients. y"" - y" - 25y' + 25y = 3 - ex +…

A:

Q: 9.) Let E be the tetrahedron with vertices: (0,0,0), (3, 2,0), (0,3,0), (0, 0,2). E is bounded by…

A: The tetrahedron bounded by the planes              from the plane…

Q: Evaluate the limit. 3t2t lim. t→0 t 3 ln(3) - 2 ln (2) X

A:

Q: 2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

A: A function f(x) attains maximum value at x=a if f'(a)=0 and f''(a)&lt;0.

Q: 5. Find the area of the Hershey kiss enclosed by r₁(t) = (sin(nt)², †² − 1) for −1 ≤ t ≤ 1. -

A:

Q: ctions C: R → Rand S: R → R defined by (x) = Σ n=0 2n (-1)" x ²m (2η)! and S(x) ) = 5(x)C(v) +…

A:

Q: Find the convolution (f * g), after integrating find the Laplace transform of (f * g): f(t) = cos2t,…

A: We have to find convolution (f*g) and the Laplace transform of (f*g) wheref(t)= cos2t, g(t)= et .

Q: Question 2: Dwayne Jetski is a famous hockey player who has a powerful (though sometimes wild) slap…

A: The binomial probability is used when there are a fixed number of independent trials (in this case,…

Q: A company has found that the cost, in dollars per pound, of the coffee it roasts is related to C'(x)…

A: A company has found that the cost, in dollars per pound, of the coffee it roasts is related to for…

Q: Find all of the 5-th roots of the number z Show all of your working! -√3+i. ==

A: We have to find all of the 5-th roots of the numberz = -  + iWe know that, Polar Form of a Complex…

Q: 2. Let f(t)= t for t in [-7, 7]. Use the exponential show that k=1 k2 6 Fourier series for f to

A:

Q: Consider the following. B = {(0, 1, 4), (-1, 1, 4), (-2, 2, 12)}, B' = {(10, 3, -3), (3, 1, -1),…

A:

Q: For the sinusoidal signal shown What is the peak-to - peak value of the wave form? What is the rms…

A: Note-  Since you have posted multiple subparts question we will solve only first 3 subpart as per…

Q: (a) Calculate Let n ≥ 1 be an integer and let F(y, z) = y¹−¹ √√y² + z². G(y, z) = 2 Ə əz -F(y, z) —…

A: Given functionF(y,z)=yn−1y2+z2Partial derivatives with respect to z∂F∂z=yn−1zy2+z2…

Q: Define a digit to be an element of the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9) Say that a sequence of…

A: Define a digit to be an element of the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} Say that a sequence of…

Q: do the second question

A:

Q: 20. f(x) = π, g(x) = cos² x + sin² x 21. f(x) = x³, g(x) = x²|x|

A:

Q: Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. Then, use the…

A:

Q: Integrate the following using trigonometric substitution. Also draw the reference triangle for each…

A:

Q: 1.UA Hamburger Hamlet (UAHH) places a daily order for its high-volume items (hamburger patties,…

A: To solve these problems, we will use the Economic Order Quantity (EOQ) model for inventory…

Q: Hence find a general solution of the equation 2 1 w" () - ¹ ()² = ² 2. w' w'

A: We have to find the general solution of the equation It is given that  and