If a 4 x 4 matrix A with rows ₁, ₂, 3, and 4 has determinant det A = 9, et 15 15 Ủ2 703 +504 203 + 304 =

Q: 9. (§7.6) Let f(t) be the following piecewise continuous function. if 0 < t < 2 if 2 < t < 4 if 4 <…

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Q: 2. t) If f(x) = -4x+9 and g(x) = 2x - 7. Find, fog and gof. tt) if h(x) = 3x - 5 and g(x) = 2x² -7.…

A: The composition of two functions f and g is defined as (f∘g)(x)=f(g(x))

Q: Calculate f(3xy + 4e²) d.S, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4,…

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Q: A circle is drawn through P(-1, 10), Q(2, 4) and O(0, 0). What is the x -coordinate of the centre of…

A: The general equation of a circle is of the form x2+y2+2gx+2fy+c=0,where g,f,c are constants. The…

Q: 10.5 Let G be a group of order 8 that is not cyclic. Show that a= e for every a EG.

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Q: (i). Show that the set of complex numbers is a field.

A: Set of complex numbers is defined as,One has to prove that set of complex numbers is a field.Note:…

Q: Compute an SVD of the matrix. A = - 12 12 - 1 - 8 8 - 9 - 20 - 4 - 15 -24 0 19 21 -3 - 7 -7 -5 =…

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Q: (ii) Find the Fourier series of the periodic function defined in the interval 0 < t < 1. 0 < t < 1/2…

A: The given problem is to find the Fourier series expansion of the periodic function.Given periodic…

Q: Solve the DE: ²y" - 5xy +8y=0 I

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Q: 13. Find the orthogonal trajectories of y=1. '= X

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Q: Draw a direction field for the equation y'=y+x-y^2 for -5 < x, y

A: The direction field is obtained as follows:

Q: Find the area bounded by the graphs of the indicated equations over the given interval (when…

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Q: y' − 2 ² = y² X 2. -

A: First order linear differential equations:

Q: Which of the following sets are subspaces of R ³? U₁ = {(x, y, z) = R ³ | x+y=z=0} U₂ = {(x, y, xy)…

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Q: can you solve parts d, e, and f  to the given quetion above

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Q: What is the area of this figure? 9 ft 2 ft 2 ft 2 ft 3 ft 3 ft 2 ft 4 ft 2 ft 2 ft 3 ft 4 ft

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Q: he graph and then prove your guess. (If the sequence diverg 1.3.5.... . (2n-1) n

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Q: Explain why the subset Zof M(2, 2) given by z-{[b] t = is not a subspace of M(2, 2). € M(2,2) : b²…

A: We will explain why Z is not form a subspace .

Q: Calculate [² sin² (2) cos -1 JO 2(y) dy dx where p > 2 is a prime.

A: , where is a prime.We have to calculate the given integration.

Q: 5- Evaluate the indicated limits. If f(x)= Find limit of f(x) as x-2 x lim x-1 x-1 (x²-1 ifx≤2 if…

A: The given problem is to evaluate the given limits.Given limits, and If f(x) = , find the limit of…

Q: What is the shortest distance to travel from Otott including & the network below? Identify the for…

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Q: A survey of 10 fast-food restaurants noted the number of calories in a mid-sized hamburger. The…

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Q: . Does there exist a Möbius Transformation which maps each of the two halflines S+= {z EC: Arg(z) =…

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Q: Hwo solve Utt = 16 Uxx h = 1 K=1. 4 U (at) = (5,t)- U = 0 ut(x10) = 0 U (x,0) = x²(5-X

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Q: Maximum Price of Land The rectangular region R shown in the accompanying figure represents the…

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Q: Calculate the fluid force on one side of a semicircular plate of radius 1 ft that rests vertically…

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Q: What is the area of this figure? 7 in 5 in 4 in 5 in 5 in 2 in 2 in 3 in 4 in 6 in 3 in Write your…

A: The composite figure si given.The objective is to find the area of the figure.

Q: Calculate the fluid force on one side of a semicircular plate of radius 14 ft that rests vertically…

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Q: 8.5.13. Write out the spectral factorization of the following matrices: 10 (-) (-33). (b) (-² -1).…

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Q: Ex. 8. Solve d³y dx² 6 +13y=8e³x sin 2x.

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Q: Suppose that g is holomorphic on C, and satisfies g(z)| ≤|z¹/2 for all z € C\ {0} (where 2/¹/2 is…

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Q: Find the center of mass of the lamina bounded by the graphs of the equations y = e*, y = 0, x = 0,…

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Q: 4. xy' +2y=3x

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Q: Compute the optimal rank-2 approximation of the symmetric matrix 3.75 -1.75 -1.25 -0.75] -1.75 3.75…

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Q: [[[ 1 x² + y² + z² E between the spheres x² + y² + x² + y² + ² = 25 in the first octant. Evaluate…

A: Given: An integral  where  lies between the spheres  and in the first octantAim: To evaluate the…

Q: carvings of washington, lincoln, Jeffereson, Roosevelt in Mount Rushmore. The are The statues are 80…

A: The carvings of Washington, Lincoln,Roosevelt and Jefferson are 80 times life size. We have to find…

Q: Find the Laplace Transform F(t)=(2t+5)U(t-3)

A: The Laplace transform of a function f(t) defined byL{f(t)}(s)=∫0∞f(t)e−stdtUnit step function:…

Q: Determine if the vector fields below are conservative. Find potential functions where possible. (a.)…

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Q: Solve the DE by variation of parameters: y' + y = tan x.

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Q: Construct a graph with vertices A, B, C, D, E whose degrees are 1, 1, 1, 0, 1 What is the edge set?

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Q: what is the shortest distance between. the line to (-1,6 = x 2 x - y = -2 y =

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Q: Find each of the following inverses. a. e 4s-201 elf. S² + 4 b. S² eils +6s+18 S³ +9s

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Q: series 21 -On+2 18. Find the interval of convergence for the power

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Q: Find the power series solution for the differential equation y" + 3xy'-y=0 with the initial…

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Q: 1 F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + yzj + zxk, C…

A: Let C be a closed curve bounding an open two sided surface S. Then∮CF→⋅dr→=∬SCurl(F→)⋅n→dsWhere n→…

Q: Given the logical statement below, identify whether it is a tautology, contradiction, or…

A: We have 4 variables p,q,r and s, so we need 4 columns for p,q,r and s, and 6 more columns for ,,.…

Q: sume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Let S be the half-cylinder x² + y² = 1, x ≥ 0,0 ≤ z ≤ 1. Assume that F is a horizontal vector field…

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Q: Find the center of mass of the solid S bounded by the paraboloid z = 3x² + 3y² and the plane z = 10.…

A: The solution is given by

Q: HW6.2. Use determinants to discuss the number of solutions of the system for all values of the…

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