dx 2 det = 0 given th-

Q: Use triple integration in Cartesian coordinates to find the volume of the region in the first octant…

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Q: 4. For the given matrix -2 1 3 1 3 -1 3 1 2 a) Use the direct method to find all the eigenvalues and…

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Q: a. 3. What is

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 2) Given the differential equation dy (t² + 2t + 1)(y² - 4) dt a) Find the equilibrium solutions for…

A: This is a question of the Differential equation.

Q: In a vector space V, prove that Ov=0 for all v € V. Let u = (1, 2, -1), v = (6,4,2) € R³. 5.1 Write…

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Q: Q3:- (4) Solve the following differential equation: y³ −3y¹ +3y″ − y" = x² 1 (B) Find the inverse…

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Q: Solve the partial differential equation: ² + ( 2 )² = 3 P u

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Q: 5 -2s2-3s+4- L-¹1-

A: We will use Laplace transformation table to find inverse Laplace transformation of given function

Q: Find e for A = 1 -1 1 2 34 002

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Q: Find a subset of the vectors  v1= ( 0, 2 2, 4), v2= ( 1,0,-1,-3), v3= ( 2,3,1,1 ) and v4= ( -2, 1,…

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Q: 4. A circle is divided into 10 equal parts to form a spinner. It is numbered as shown in the figure.…

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Q: PART#A Use Stokes' Theorem to find the circulation of F= (zy, y, z) around the boundary of the…

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Q: . In any projective plane, there are at least 4 points not lying on a given line.

A: False.  Correct Statement is: In any projective plane there at least 3 points lying on a given line.…

Q: QUESTION 1 Show that W = {(a,0, b) a, b = R} is a subspace of R³.

A: Result : R3 is a vector space over the field R . Theorem : A non empty subset of a vector space V…

Q: Consider the sequence -11, -6, -1, 4, ..., 5n — 1. a. How many terms are there in the sequence? b.…

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Q: 9) **Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

A: The given problem is to find the highest and lowest temperatures for the given temparature equation…

Q: 3. Using Residue theorem evaluate the following integrals 1+z (a) Sc dz, where c is the unit circle.…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 1. Solve the equations below using Doolittle's Decomposition method 4 -2 -3 X1 1.1 12 4 -10 X2 0 -…

A: The given problem is to find the solution for the given system of linear equations in matrix form…

Q: 35. Find the sum of the following geometric series. A. Does not exist B. -12, 258 Σ -3(2)'-¹ C.…

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Q: the answer that was given was y(t)=Ce^-t + Dte^-t +3t^2e^-t but its wrong I'm looking for the error…

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Q: Find the general solutions of the systems whose augmented matrices are given. To -4 2 1 352 2 -4 A =…

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Q: e Deeward Commu

A: a. ∃x(C(x)∧L(x)) b. ∀x(C(x)→¬L(x))

Q: Show that the force F = (y^²2² - 6xz² ) ₁² + ²xyz²³ j^² + (3 xy² z ²-6x²²Z) k IS Conservative, hence…

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Q: 4. Find (a) Fourier Sine Series, and (b) Fourier Cosine series for the func- tion f(x) = sin(x),…

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Q: P problem using Big M method Minimize Z =10X1 + 15X2 +20X3

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: L-1 | 53 5 = 3s +1 3 – s2 + s - 1

A: Find the inverse Laplace transform of 3s+1s3-s2+s-1. Rewrite the denominator:…

Q: Two spherical tanks are connected as in the figure below. The first tank has the radius 1m and is on…

A: We will find work done to fill a horizontal slice and then integrate it to find total work done for…

Q: The exponential model A-320 700241 describes the population, A. of a country in millions, t years…

A: We have given  Exponential model A = 320.7 e0.024t Where t is time in years  We have to find the…

Q: Question 1: Doing 2 DFTs in one go Consider two length N vectors with real numbers in them-a, y ERN.…

A: Here, C,X and Y be the DFT of c,x, and y.

Q: Let A be an n×n diagonalizable matrix with eigenvalues: λ1,⋯,λn. If |λi|<1 for any i=1,2,...,n,…

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Q: i. If n is positive integer, Find (√3+ i)” + (√3 − i)”. ii. Separate tanh-¹(x + iy) into real and…

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

Q: Let be the vector field defined on the plane by F(x, y) = (x¹+3y, 6x - siny).

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Q: Find the volume of a parallelepiped if four of its eight vertices are A(0,0,0), B(1,5,0), C(0, –…

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Q: 2- Perform the following inverse Laplace transform using convolution theorem: 3s +1 C-1 2 Wind I S²…

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Q: What matrix E puts the matrix A into an upper tr 4= U? Show your work! 210 042 A =

A: Introduction: In linear algebra, LU Decomposition, also known as lower–upper (LU) decomposition or…

Q: 10. Prove that w|+|2|="2² VWZ+ W+z +√WZ

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Q: Given the plot of normal distributions A and B below, which of the following statements is true?…

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Q: Travelling waves 8² Which of the following are valid solutions of 2 ou 0x² □ (x − vt)² + (x+vt)² +1…

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Q: Find the volume of the colid obtained by rotating about th bounded by y=2x² axu the region and yo

A: First we plot the curves and identify the region which is to be revolved about y-axis. at…

Q: Prove by Mathematical Induction that: 192^3+2364+ ...+n[n+1)(n+2) = n(n+1)(n+ 2){n+3)/4

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Q: Find f(t). f(t) = 4s [{{1}} + ) u(t-

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Q: [D/HD] A different PDE has a full general solution is of the form which of the following is a…

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Q: Solve the following simultaneous DE using Laplace transforms. 1. dx 2 + dy dt Бет = dt dy · 3 d = 5…

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

Q: can you summarize the final asnwers?

A: I am summarizing all answer together

Q: Find the general solution of the following DE. xy² (y')² + y(x - 1)y' - x³ = 0

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Q: 4. Read this problem carefully. Row reduce the matrix to reduced echelon form. Circle the pivot…

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Q: 5. Solve the system by using the matrix exponential 0 1 0 *-[2] + [2]· --[] x' = x x(1) = -3t 3

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Q: Find the general and Singular Solution of The Following differential equation yLny = xyP+ P²

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Q: 12. Find the equation for a line passing through (3,-4) and (2,5) Label all of your steps.

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Q: D = 3 1 5 0 -4 5 -2 -4 3

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