Find the determinant of by cofactor expansion. 5 0 7 0 1 -7 - 4 0 0 6 -8 0 0 0 3 0 0 - 20 -54 0 1 0 0

Q: Let Q be an open subset in C and f be a complex differentiable functic et BC 9 he a closed rectangle…

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Q: find the general solution for the equation Y() = -[Y(+)]³² +Y()

A: Use the following formulae, to obtain the solution. ∫dxx-a=lnx-a+Clnxy=lnx-lnyelnx=x Where a and C…

Q: 1 (2¹) 4 4

A: Given matrix as, A=-2144

Q: 4. Solve the following using logarithms. a) log x + log(x - 1) = log 2 b) log 40 - log10 = logx

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Q: 3. Considere la función e-2 sit > 5 f(t) = 2t si 0≤ t ≤ 5 To calculate {f(t)} using the definition,…

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Q: e work is hard

A: 16. Given,              3906×4=

Q: Correct. Solve the given initial value problem. ○x6y² - xy³ = 12 | x³y² − y³ = −4 x³y² + xy³ = -4…

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Q: Describe in words the region of R³ represented by the inequalities sosys! Here, x²²s9 or…

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Q: 5. Given a piecewise function 4, f(t): = { 1, 0≤t 2. Express f(t) in the form of unit step function.…

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Q: Let S = { 1 − (−¹)ª | n € N}. Determine inf S and sup S. Justify. (-1)" n

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Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

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Q: In each of Problems 13 through 20, find the solution of the given initial value problem. 13. y' y =…

A: We have to find the particular solution of the given nonhomogeneous linear differential equation…

Q: If A = i - 2j-2k, B = 6i +3j + 2k, find A.B if 0 = 70 7.182 4.897 12.5 O 5.12

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Q: Q2: Use bisection method to determining the root of x³ - 10 = 0 .Assume that the root lies between 1…

A: The given function is f(x)=x3-10. Given: Root lies between 1 and 3. To find: The approximated root…

Q: 2. Evaluate each of the following. Show all steps/work. b) y = log6 216 a) y = log, 243

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Q: il, and the nail remains stuck in the tire. If the tire rotates once every 0.5 seconds, determine an…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

Q: Solve the given differential equation. All solutions should be found. dy =e7x + 1ly dx NOTE: Use c…

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Q: (c) What conclusion can be drawn about coefficients in the system of homogeneous differential…

A: Given: X'=Ptx To find: Solution

Q: y' (t) = sen (5t) - 25 25 [y(u)du y(t) = sen (5t) *g(t). When solving. With y(0)=0 you obtaing the…

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Q: If A = i - 2j - 2k ,B = 6i + 3j + 2k, find A. B if 0 = 70 7.182 4.897 O 12.5 5.12 000

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Q: Three coin are tossed and the number of head appears a- Find the sample space b- Find P(1), P (2), P…

A: here we can use basic formula of probablity

Q: Q3. Prove by using logical equivalence method: (pr) V (q+r) = (p Aq) → r

A: Two propositions are referred to as logically equivalent if their truth value is always same. When…

Q: given data. Ro

A: Let the equation of regression line by least-squares method is y = a + bx Where y is dependent…

Q: Ва ut = Zuxx – ucot )=32 т и (ч, t ) = 52 та heat equation Ic = 4 (xio)= 5x+2 осхи

A: Transform the imhomogeneous boundary conditions to homogeneous boundary conditions and then apply…

Q: 2. Given matrix A = find sin(At). -8 -5 has eigenvalues of 2, 2₂-3.Using Caley-Hamilton theorem, 5 2…

A: Consider the given matrix, A=-8-552 since, it is given that the eigen values of λ1,λ2=-3 so, it…

Q: b) let R be the disk in the xx-plane centered at the point (0.2) and with radius 2. Calculate ☞² +…

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Q: 12. Consider the function f, such that f and f' are continuous for t≥ 0, defined by (37t - 95 0<t<7…

A: This is a problem of unit step or Heaviside function.

Q: Two players are engaged in a game of Chicken. There are two possible strategies, Swerve and Drive…

A: Solution: The given information can be represented as a payoff matrix as follows:     Swerve…

Q: 11. Determine the solution of u (x,0) = 0, u (0,t) = h, where h, k, and A are constants. Utt = c²ur…

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Q: Ва ut = Zuxx – ucot )=32 т и (ч, t ) = 52 та heat equation Ic = 4 (xio)= 5x+2 осхи

A: What is the meaning of equal sign before Ut. Ignoring this sign solve by separation of variables…

Q: In each of Problems 34 through 37, construct a first order linear differential equation whose…

A: To find- Construct a first order linear differential equation whose solutions have the required…

Q: Show that the sequence ffn}, where fnox) = ne is uniformly convergent nx+1 on [a, b], aso but is…

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Q: If A = i-2j-2k, B = 6i +3j + 2k, find A.B if 0 = 70 7.182 4.897 O 12.5 O 5.12 O

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Q: , (k+1)* k=1 p*k! is a) Converges absolutely b) Conditionally convergent c) Diverges d) None of the…

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Q: f symmetry, and x-intercept(s).  vertex     (x, f(x)) =               axis of symmetry…

A: Introduction: The quadratic function f(x)=a(x-h)2+k is considered to be in standard form if an is…

Q: consider a closed rectangular box with a squar base. if base side is measured with error at 2% and…

A: The rectangular box has a square base. Let the base side be x Then the base area is x2 The Sum of…

Q: 6. Find the inverse Laplace transform of the following functions. a) F(s) = ln (5+3). UTMUT TM UTM…

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Q: Use substitution to find the general solution of the system x₁ = 3x₁ + 7x2, x2 = 3x1 - 1x2.

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Q: -2x - y - 3z = 3 2x - 3y + z = 13 2x - 3z = -11

A: We need to solve the system of equations -2x - y - 3z = 3               (i)   2x - 3y + z = 13…

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

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Q: (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the…

A: This is the question of differential equation and direction field.

Q: 11. Determine the solution of Utt = u (x,0) = 0, u (0, t) = h, where h, k, and A are constants. c²ur…

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Q: Determine the dimension of the span of each set. 6 3 12 - A = span ({0}) 2 - -1 4 20 10 40 dim (A) =…

A: Follow the steps.

Q: Task 5 (Show manual calculations for this exercise) Let the partial differential equation J²u U= J²u…

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Q: Use Euler's method to compute the approximate y-values, y(1.2) and y(1.4), of the solution of the…

A: Numerical differentiation:  Euler's method

Q: 3) Use the Divergence Theorem (Gauss's Theorem) to calculate the flux of F = (x - y)i + (y-z)j +…

A: Here we have to use Divergence theorem to calculate the flux.

Q: a The operation a*b =¯¯¯ a+b a. the set of real numbers. b. the set of negative numbers. c. on the…

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Q: 5. Determine whether vectors u =(2,-6,-5), v = (3,8, 18) and w = (8,-6,7) will form a basis for R³.…

A: Basis is very important in linear algebra. A basis set always contains linearly independent vectors…

Q: Find the partial fraction expansion of the following expression: 6t² +7t+13 (t+1) (t² +t+ 3) The…

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Q: 2. Use the elimination method to solve the system y₁ = 2y₁ + y2 + et, y2 = y₁ + 2y2 - t.

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