solve the differential equation y" + 4y = sin^2(x) by i. methods of undetermined coefficient ii. variation of parameters

Q: Give bases for row(A), col(A), and null(A). 1 1 -8 0 2 1 1 -1 -9 row(A) col (A) null(A) A = ↓ 1

A: Row Space: Non zero rows in the row reduced form is the basis of row space. Column Space: Since the…

Q: -10 + -5 y 5 В A В -5 5 с 10 X С'

A: The given figure is,  (1) To Find: Transformation that maps triangle ABC to A'B'C'. (2) To Explain:…

Q: For three consecutive years the tuition of an university increased by 14​%, 11​%, and 9​%,…

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Q: Consider the following system of equations: 2x+y=z=8 3x - 2y + 3z = 23 3x - 2y z=7 where x, y, and z…

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Q: Find the mass of the right pyramid that has a square base in the xy-plane. − 1 ≤ x ≤ 1, − 1 ≤ y ≤ 1,…

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Q: 25. Write the number 36,194 as a Babylonian numeral.

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Q: 10 9 8 7 6 5 4 3 ON 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 2 Find the area inside…

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Q: equation u, = iuxx on (0, 1) with Dirichlet conditions at the variables and use (8) to find its…

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Q: Use Newton's method to approximate a root of the equation 5x^3+5^x+2=0 as follows. Let x1=−2 be the…

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Q: fn(2) (a) f is continuous on [0, 00). (c) f(x) = 0 for all z ≥ 0. nx, if 0≤x≤1/n; if x > 1/n. =. Let…

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Q: (Click on the graph for a larger version.) Enter each of "LEFT(n)", "RIGHT(n)", "TRAP(n)", "MID(n)"…

A: Given: Graph of the function f(x).We need to arrange the approximations namely LEFT(n), RIGHT(n),…

Q: 40. If f(x, y) is continuous over R: a < x < b, c < y < d and F(x, y) = | | flu, v) dv du on the…

A: Given that if f(x, y) is continuous over R : a≤x≤b,  c≤y≤d and                             F(x,…

Q: Draw the graph of the given rational function. d(x) = 9 x² - 16

A: Given function d(x) = 9/(x2-16)  d(x) =9/(x+4) (x-4)  Clearly function is undefined when x=-4 and…

Q: Given an annual rate of payment of f (t) = 400t³ at time t for 2 years and a force of interest d=…

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Q: Determine the number of significant digits of each of the following numbers. (i) 0.025316±0.00003…

A: Parti Consider 0.025316±0.00003. Now,  0.025316 has 5 significant figures and 0.00003 has 1…

Q: Determine the solution of the equation using the method of separation of variables. U = Uzz, 00,…

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Q: At the end of year 4, the account was valued at $2915.17. At the end of year 5, the account was…

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Q: Use the savings plan formula to answer the following question. Your goal is to create a college fund…

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Q: A box with a square base and open top must have a volume of 296352 cm³. A(x) We wish to find the…

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Q: Draw the graph of the given rational function. f(x)= = 4-x 9 - 2x

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Q: Draw the graph of the given rational function. P(x) = x³-1 x² - 2x + 1

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Q: (1 point) Evaluate the following quantity by applying a change of base. where m = n = log65 (9.72) =…

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Q: A plane with equation 2 + ² + 2 = 1 (a, b, c > 0) together with the positive coordinate planes forms…

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Q: 4. Draw up the multiplication table of Z6.

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Q: The I-Dream company makes two different BLU-ray players, which are assembled on two different…

A: The I-Dream company makes two different BLU-ray players, which are assembled on two different…

Q: Discuss De Moivre's Theorem. Using an example, explain how the square root of a complex number can…

A: De Moivre's Theorem: The De Moivre's Theorem states that for any real number x, we have,…

Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists). (If an answer…

A: The given matrix is    2   0   3   1-1   2-1   0-2 We have to find the inverse of the given matrix…

Q: A scientist uses technology to solve a nonhomogeneous system of thirty-three linear equations in…

A: A scientist uses technology to solve a nonhomogeneous system of thirty-three linear equations in…

Q: B. What are indicial equations? Solve the indicial equation 4²x-1= 5x+² for x, each correct to 4…

A: Indicial equation:  An indicial equation ,also called as characteristics equation ,is a recurrence…

Q: Suppose that P(1), P(2),... are statements. Assume that you know only the following: P(3) is true. •…

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Q: Slide the large circle on the parabola so the small circle on the x-axis is at x = 2.  Substitute x…

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Q: Invent an interesting set A with AC {a, b, c, d, e, ..., z} and |A|≥ 6 and another interesting set B…

A: As per our guideline, we are supposed to solve only first three subparts. Kindly repost other…

Q: 1. How can you prove a statement of the form (Vx, P(x))? Provide examples.

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

Q: Calculate for the given rational expression: X x-8 = x 8 x² - 64

A: Given:  xx-8=x-8x2-64To find : x

Q: √ √ - 6(r cos(0))rdrd0 D = {(r, 0) | 0 ≤ r ≤ 5 + sin(0), 0π ≤ 0 ≤ = π}. Hint: The integral and…

A: ∫∫D6r·cosθrdrdθD=r,θ| 0≤r≤5+sinθ,…

Q: Find power series centered at 7 representing the following function cos(2)

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Q: Determine whether the following generalizations are true or false. 1.  If x and y are both elements…

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Q: 3 19.

A: We use nearest neighbour Algorithm to solve given problem. We find nearest neighbor from  vertex E…

Q: Exercise 1. Give examples of subsets A, B in a topological space X (for example X = R or X = R²)…

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Q: 4. Define a relation R on the x-y plane as follows: Given two points (X₁,Y₁) and (x2,Y2) in the x-y…

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Q: Let A = [₁ ₂] be a 2 x 2 matrix with columns ₁ and a2, and let 6 € R² be a vector. Assuming the…

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Q: Suppose that a furniture manufacturer is willing to supply x office desks at a price p = S(x) = x² +…

A: 1st we will find equilibrium point and then  draw the graph of supply and demand function .…

Q: Let A be a symmetric 2 X 2 matrix and let k be a scalar. Prove that the graph of the quadratic…

A: Given : A is a symmetric matrix of 2×2 and k be scalar . To prove : xTAx=k hyperbola if  k≠0 and…

Q: Define a relation R on the real numbers as follows: x Ry if and only if [x-y] = 0. Is R an…

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Q: Compare and contrast the geometric proofs of the quadratic formulas of al-Khwarizmi and Thabit ibn…

A: Thābit ibn Qurrah made important discoveries in algebra, geometry, and astronomy. In astronomy,

Q: find all the critical points for the given system and discuss the stability of the corresponding…

A: The system of differential equations given is as follows: dx1dt=x3-x32dx2dt=-x1dx3dt=x2 The critical…

Q: Given the geometric sequence: 26 3 ao 2, a₁ = a1 An = > a2 = find a formula for the n-th term: 338 9

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Q: Read the lab manual G-5 thoroughly. You will be asked to draw graphs using Excel Spreadsheet. A…

A: We enter the given data in an Excel workbook,

Q: Use the matrix of transition probabilities P and initial state matrix X0 to find the state matrices…

A: Given: Matrix of transition probabilities P and initial state matrix X0 P=12141234 , X0=2313 To Find…

Q: 1D.  State the slope of the tangent line by substituting x = 2 into the derivative f'(x).  State the…

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