Convert the given initial value problem into an initial value problem for a system in normal form. y (6) (t) = 6 [y' (t)] ²-6 tan (y(t))+ 3e³t y(0)=y'(0) = ... =y (5) (0) = 0

Q: Nevermind, I see it.

A:

Q: Minimize f(x, y, z) = xy + xz+yz subject to x² + y² + z² = If R = [0, ] ×[1, 2], compute fr sin(xy)…

A: We have to minimizesubject toAssumeLets use method of Lagrange multipliers.

Q: x'= x +z, y'= x +y, z = 2x - z, x(0) = 1, y(0) = 0, z(0) = 0

A:

Q: Consider the following transportation problem: D₁ D2 D₁ D₁ Supplies 14 22 36 0 W₁ 10 W₂ 18 19 25 1…

A:

Q: What is the result of the following operation: (1,10) n (10) (A) 0 B) (1,10) (1,10) (1,10)

A: We have to find the intersection The intersection of two sets is the set of elements that are common…

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: 4. Solve the equation: 2x³ 3x2 - 11x+6=0 3x² - 11x +6 given that -2 is a zero of f(x) = 2x³ - 3x²

A:

Q: Use the graph to evaluate the expressions (fog)(1)and (gof)(3). (fog)(1) = O y = f(x) 10 ₹ 8- 6…

A:

Q: The graph below shows the numbers of visitors at a museum over six days. Number of visitors 330-…

A:

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: 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: Ton work ty 3.5] Consider the Fuclidean vector space IRS with the dot product. A subspace U c/R³ and…

A: The given vector space is the Euclidean vector space  with dot product.The given subspace is:, .

Q: Find the minimum of f(x,y) = 2x2 + 3y2 subject to x2 + y2 = 4.

A: We have to find the minimum value.

Q: The Outdoor Furniture Corporation manufactures two products, benches (X) and picnic tables (Y) for…

A: Given:number of benchesnumber of picnic tablesThe labor constraint:The material constraint:Objective…

Q: x' = x +2y, y' = x+e-t, x(0) = y(0) = 0

A:

Q: Determine the value of v that minimizes E.

A: Given that the problem is : Differentiating the E(V) :

Q: 1. Solve the congruence x² + 1 = 0 mod 13³.

A: To solve the congruence  , we can use the fact that  is a prime number.The congruence  implies that…

Q: 9. Find the area of ze zy that lies inside the cylinder z² + y² = 1.

A: In this question, we will find the area of the surface z=xy that lies inside the cylinder.

Q: Suppose that a < b < c and f is continuous. Select the true statement. C с C [ 1 (2) de - [1(4) de +…

A: By using second fundamental theorem of calculus, we will find the property.

Q: 6. Consider the mass spring system whose motion y(t) is governed by y" + 4y' + 3y = 30 cos 3t, y(0)…

A:

Q: Part 4 of 8 Solving 0 C'(x) leads to 5√x² + 1 = 10x which can be re-written as x²+1= Submit…

A: I'm solving the part 4 of 8..Since that part is not answered.

Q: What and How to find mass density (λ(x,y,z) ) and r(x,y,z) in this question?

A: As per the question we have to explain how to find the mass density and the radius from the centre…

Q: Max Z = 120X1 + 125X2 + 145X3 12X1 + 24X2 + 5X3 = 45 8X1 + 5X2 + 2X2 >= 36 5X1 + 6X2 + 12X3 = 0…

A: Max Note: The second constrain given is , writing it as

Q: Let Z = 3 + 5i and let W = 3e^(3ipi/4), find ZW, Z/W and Z + W using de Moivre's Theorem

A:

Q: 4. Find the smallest positive odd integer n such that o(n) 7680 n 12121 You should do this by a…

A: We have to find the smallest positive odd integer n such that

Q: Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive.What is the…

A: The objective of this question is to find the probability that a randomly chosen integer between 1…

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

A:

Q: Find general solutions for the following differential equations (a) x²y" - xy + y = 2xlnx + 10

A:

Q: The graph illustrates a normal distribution for the prices paid for a particular model of HD…

A: According to Empirical rule in a standard normal distribution :a) About 68% of all data lies within…

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: I understand the inverse to find 1/2x+3.... but why invert 35/3

A:

Q: Suppose we know that: 1 1 [₁ f(x) dx = 5; [₁ [_h(2), h(x) dx = -2 •[12f1 -1 Find [2f(x) + 3h(x)] dx

A:

Q: Using the half-interval method, find the intersection between the curves y finding the root of 3x -…

A: We will use a graphic calculator to find the intersection of two given curves;In this graph the red…

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

A:

Q: Consider the following vectors: a= 7₁ = 1 72 = 9 2 -2 For each of the following vectors, determine…

A:

Q: 5. Show that o (n) is odd if n is a power of two. 6. Prove that if f(n) is multiplicative, then so…

A:

Q: 9. If : G→ H is a group homomorphism and G is abelian, prove that (G) is also abelian.

A:

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: Indicate a function for which 1 1 [ f (x) dx = 2 [ƒ (x) dx −1 0 f(x) = x cos(x) ○ƒ(x) = e¯x 3 ○ƒ(x)…

A:

Q: Naturalists find that the populations of some kinds of predatory animals vary periodically. Assume…

A:

Q: For the subspace below, (a) find a basis, and (b) state the dimension. 3a + 6b-c 12a - 4b-4c - 9a +…

A:

Q: 2. Sketch the domain of the integral 1 - T₁ T² 0 = xey y²(1 — y²) dy dx . Be sure to indicate…

A:

Q: How about 8-10? Will surely give a thumbs up afterwards.

A:

Q: An integer M is called B-power-smooth if every prime power pe dividing M satisfies pe ≤ B. For…

A:

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: 1. A professor is buying breakfast for his students as a way of saying Thank you for a good…

A: 1) Calculate the number of students who want either cereal or bacon using the Principle of Inclusion…

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

A:

Q: Let K be a finite normal extension of a field F. If a, ß are any two elements of K conjugate over F,…

A: Statement : Let K be a finite normal extension of a field F. If a and b are any two elements of K…

Q: Let A 1 2 −1 -2 3 -2 -1 1 1 Diagonalize A to find A100.

A:

Q: Solve the following: ((65 ÷ 5) x 7) + 8 = ?

A: We have to find the value of the following:((65 ÷ 5) × 7) + 8