Use reduction to triangular form to evaluate the determinant of the given matrix. 1 A = 3 16 24 0-1 1

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Q: DEFINITION 7.1.1 Laplace Transform Consider the following function. f(t) L{f(t)} 1 Use Definition…

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Q: Show Attempt History Your Answer Correct Answer (Used) Let y'=ty + 0.1y³ and y(0) = 0.79. Use…

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Q: →∞. Draw a direction field for the differential equation y' = −y(10 — y). Based on the direction…

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Q: Consider the function f(x, y) = 2x³y² − 9x²y² + 12xy² + y Compute the stationary points of the…

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Q: let G be the set of all triples of the form (k1, k2,1) or (k1,k2,-1), where the ki, i=1,2 are…

A: Given :  G = k1, k2, ±1 : k1, k2 ∈ℤ with the operation  k1, k2, 1l1, l2, -1 = k1+l2, k2+l1, -1 To…

Q: Prove that for an NxN-dimensional orthogonal matrix A a) the determinant |A| = ±1 b) the sum of the…

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Q: b B 36° b≈ a Note: Triangle may not be drawn to scale. Given the triangle above, find the following:…

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Q: 13. You want to determine whether to serve hamburgers or pizza at a soccer team party. a) Write a…

A: Basically surveys are designed to get the feedbacks. They are 2 types:  1.Biased Survey: Biased…

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A: True

Q: Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an…

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Q: Find the general solution of the given differential equation. xdy + 5y = x³ = x dx goed y(x) = 8 X 6…

A: Solution :-

Q: Find the singular point of the following D.E and classify them: aj ý + (In 1x1) Ý + 3xy=0 bl (xsinx)…

A: To Find: The singular points of the following D.E. and classify them: a) y''+lnxy'+3xy=0 b) x sin…

Q: Show that the graph is planar by finding a planar drawing.

A: To make this graph with no crossings.

Q: The value, V, of a Van Gogh painting increases with time according to the following relation, V =…

A: Solution :  Given that   V = 84000(1.173)t    where t is the number of years since 1947

Q: Q5. (a) i. Prove that the inverse transformation W = = Z transforms the straight line ax + by = 0 is…

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Q: Μ8 Σ n=0 (-1)" (2n + 1)!(4n + 3) 4n+3 X

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Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 — 11x)y², y(0) y(x)…

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Q: 8m The diagram represents a window. (a) (b) 5m NOT TO SCALE Write down the diameter of the…

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Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (8,-5)

A: We want to evaluate line integral ∫C (2x-y)dx+(x+5y) dy where C: x-axis from (0,0) to (0,-5) and…

Q: as a definite integral. Rewrite the Riemann sum n 3 lim n→∞ -tan-¹( n 3i n + π).

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Q: Write a triple integral in spherical coordinates that has ONLY CONSTANTS in the bounds and…

A: As we need to use spherical co ordinate system  So relation between cartesian and spherical system…

Q: Is the following set connected: V = {(x, y) € R² | 1<x² + y² <4}? Briefly justify your answer.

A: Connected set:- If any two points of a given set can be joined by a continuous polygonal arc such…

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: Determine the determinant and inverse of the matrix. A = 3 8 8 -7 -1 –4 -1 -4 5

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Q: Given y(x)=Nex where x goes from 0 to 2.46. The value of "N" required for normalization of y(x) is:…

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Q: (3 = 3²), and find u(x,t) for the following wave: and Solve the wave equation (²) u(0,t) = u(1, t) =…

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Q: 1. Graph the function over the specified interval. Then use simple area formula from geometry to…

A: a) The given function is f(x)=6-x. To Sketch: Graph of this function over [-2,x]. To Find: A formula…

Q: A TUN f: {1,2,3,4} is defined by f(1) = 6, ƒ(2) = 7, f(3) = 8, Drag the answers into the right place…

A: Given function is f:1, 2, 3, 4 → 5, 6, 7, 8 defined by f(1) = 6, f(2) = 7, f(3) = 8, f(4) = 6

Q: Find the inverse Laplace transform of the function. where y(0) = 1, y(0) = 0 and y" + 4y = f(t).…

A: Sol:- Since f(t) function is defined in the range t≥4 , so it can also be written as 3H(t-4)(where…

Q: 3. Let f (x, y, z) = 9 (√√x² − 4y² + z² V x² +16y² + 2², where 9 is some nonnegative function of one…

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Q: Oa + Ob+0c + 4d la + (-1) b+ (-2) c +4d Oa + 1b + (-2) c + 5d la + (-1) b+ (-2) c + 2d 2a + 1b+…

A: 1) Let Tabcd=0a+0b+0c+4d1a+(-1)b+(-2)c+4d0a+1b+(-2)c+5d1a+(-1)b+(-2)c+2d2a+1b+(-10)c+4d   To Find:…

Q: (e) Use your answer to part (a) to find the general solution of the following system of linear…

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Q: Find the value of the constant k so that the differential equation (6xy³ + cos y)dx + (kx²y² − x sin…

A: For the given Exact Differential (6xy3+cosy)dx+(kx2y2-xsiny)dy=0 value of k is 9 Hence option (A) is…

Q: If n=0 C3 is convergent, does it follow that the following series are convergent? (a) Σ Gn(-2) n=0…

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Q: Find the value of b for which the differential equation (ye¹0xy + x) dx + (bxe¹0xy) dy = 0 is exact,…

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Q: Show that Y=22.4sin(1.1x) is an eigenfunction of the operator (d²/dx²). What is the eigenvalue? O O…

A: Here we have given that Y=22.4sin1.1x is an eigen function of the operator d2dx2. So, we have,…

Q: . Please submit higher quality image or rewrite if its correct i cant read this.

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Q: Which of the following correctly states how the velocity of liquid changes with temperature? A)…

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Q: The derivative of a function F (X, Y) at a point P_0 = (1,2) in the direction towards P_1 = (2,3) is…

A: Given That : The derivative of a function F (X, Y) at a point P_0 = (1,2) in the direction towards…

Q: Find a set of parametric equations for the curve of intersection of the cylinder (x - 1)2 + y2/4 = 1…

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Q: . Consider the partial differential equation u₁(x, t) = KUxx(x, t) + au(x, t), where a is a…

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Q: Solve the given differential equation. All solutions should be found. dy e5x =e dx NOTE: Use c for…

A: We have to solve the given differential equation dydx=e5x+10y .

Q: series converge

A: Please check the next step

Q: - Find div F and curl F if F(x, y, z) = 10y¹z7i – 17xªzºj – 3xyễk. div F= curl F=

A: The general form of a vector-valued function in three dimensions is given by F=F1i+F2j+F3k, where…