Find the inverse Laplace transform L¯¹{F(s)} of the function F(s) L-¹{F(s)} = = 6 (s − 1)³ NOTE: The answer should be a function of t.

Q: y₁ = e-* is one solution of the differential equation y" + 2y' + y = 0. Use the method of reduction…

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Q: 3. Determine whether the Improper Integral converges or diverges using the Direct Comparison Test S™…

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Q: Let K be a finite normal extension of a field F. If a, ß are any two elements of K c onjugate over…

A: Let  be a finite normal extension of a finite field Suppose that  are any two elements of  conguate…

Q: 3 Expand the logarithmic expression: In- x 2-4

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Q: 14. A = B = 1 2 3 1 0 0 0 224 3-4 0 2 4 -3 10 6 2 030OMOO 6 0 2 0 0 0 3-6 00 =∞∞oa ain mì 9 5 3 0 -7…

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Q: If A = b c d I then A is invertible if ad-bc0, in which case A-1 = If ad bc = 0, then A is not…

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Q: Please do problem 2. Thank you!

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Q: 1. Prove that for any vector space V and any two vectors u and vin V, span({u, v}) span({u, u + v}).…

A: Span{u1,u2}={au1+bu2:a,b are scalars}Which is a subspace of V.

Q: : Solve the initial value problem y' = -2ty + 1 26, y(0) = 1.

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Q: Find the general solution of the following linear second order equation y" − 3y' — 10y = (196x³ –…

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Q: Problem #5: SSF. Use the divergence theorem to find the outward flux F = cos(9y + 7)i + 10ln(x² +…

A: Using divergenge theorem we have to find the outward flux

Q: 4. A right circular cylinder solid has boundaries z = 10, z = 20, and x² + y² = 16. (a) Set up a…

A: Note: As per our guidelines, we can solve first three sub parts. Please repost the  remaining parts.

Q: x² For the given cost function C(x) = 250√x + 8000 a) The cost at the production level 1800…

A: In this question, we will find the average cost and marginal cost.

Q: 3.5. Consider the Euclidean vector space IRS with the dot product. A subspace U≤ IR³ and XE IRS are…

A: The given vector space is the Euclidean vector space  with dot product.Given subspace is:, .

Q: Note: for each question below, enter a numerical value only. Let's find the following determinant by…

A: Given: We have to find the value of  and also find the value of determinant of the given matrix.

Q: Let A = 2 B = -4] -4 8 Construct a 2 by 2 matrix B with all non-zero integer entries such that AB =…

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Q: For the first few problems in this set, let *-0 -0 - -) -- F₁ = F₂ F3 y² F₁ = F5 = 22 1. Let S…

A: The given vectors are .Given S is a square with corners  oriented so that the top of S points in the…

Q: The vector x is in a subspace H with a basis B = {b₁,b₂}. Find the B-coordinate vector of x. - 2 4H9…

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Q: Which of the following sets have a supremum in R? {ZEQ:0≤z ≤ √2} {z²-1: ze Z} {z² - 3z²+z 3 : ZEN}…

A: Which of the following sets have a supremum in ?1. 2. 3. 4.

Q: Q.1.3 Substitute for the known variable and solve for the unknown. FVORD= PMT (1 + A%) -1 1+1)…

A: It's a calculation question

Q: 1 0.8 0.6 0.4 0.2 0 A two-dimensional flow field is given by velocity components: u = 4x³ + 2axy²…

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Q: 1. Suppose T: R2 R³ is a linear transformation defined by T([¹]) - - = T Find the matrix of T with…

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Q: (b) The string is such that at t = 0, dy/dt = 0 for all x, and y(x,0) has the shape y a L/2 L i.e.…

A: y(x,t) is the displacement of the string at a distance x at the time t, which…

Q: Is the following statement true or false? Let A C R. Then a E R is the supremum of A if and only if…

A: Let  then  is the supremum of A if and only if it is an upper bound for A and .To Find:Is the above…

Q: If a and b are positive integers, show that gcd (a,b) = gcd(a, a+b).

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Q: Selling Price String beans Okra Meat Eggplant PINAKBET 135 Quantity Per Order 3 3 5 1 1 5 SINIGANG…

A: As per the question, we have optimized the sales of Pinakbet and Sinigang to maximize revenue while…

Q: 3.8.) Using the Gram- Schmidt method, turn the basis B=Cb₁,b₂) of a two-dimensional subspace UCIR³…

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Q: verify stokes` theorem for a vector function F = yi + zj + xk on the surface S (the paraboloid) z =…

A: The given vector field is  on the surface (the paraboloid)  .To verify the Stoke's theorem.Consider…

Q: 144 Use the fact that the matrices 1 5 4 145 to solve the following system of linear equations. x +…

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Q: Ms. Waters was trying to find the GCF using the ladder method, but she made an error along the way!…

A: We identify the step which is wrong.

Q: Ex:2-31 Find all the root of the function: f(x) = x+r³-39x² +31x + 70. Anster: -7, -1, 2; and 5.

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Q: 1. Every convergent sequence is bounded. 2. If (s) is a convergent sequence with lims, = s and (t)…

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Q: Exercise 8.4.2 Find the eigenvalues and eigenvectors of the matrix -13 -28 28 4 -8 9 One eigenvalue…

A: Given matric

Q: Let A = -5 -5 Compute AB. AB= 69] O False O True 4 6 1-9 and B= = 1 1 Moral: The product of a matrix…

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Q: Water is leaking out of an inverted conical tank at a rate of 10500.0 cubic centimeters per min at…

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Q: Find the area of the following regions. The region inside the lemniscater² =6 cos 20 and outside the…

A: We have the given regions

Q: 2. a) f(t)=2sin(t), -2, 0≤t<π/2 π/2 < t < 3π/2 t≥ 3π/2

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Q: Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of…

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Q: Determine the least number of rows that the National Assembly Hall of Belize will accommodate in the…

A: Determine the least number of rows that the National Assembly Hall of Belize will accommodate in the…

Q: 2 alb a, be a ib (i). I a.beD are aib #o an an integral integral domain associatives abtD domain…

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Q: 60. (a) Prove that rank(AB) <= rank(A). [Hint: Review  Exer cise 30 in Section 3.1 or use transposes…

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Q: Suppose {n}_1 and {wn}_1 are sequences of complex numbers such that limn→∞ ²n = 2 and limn→∞ Wn = w…

A: This question is about algebra of sequence.

Q: Jim's Camera shop sells two high-end cameras, the Sky Eagle and Horizon. The demand for these two…

A: Given the demand and selling price for Sky Eagle and Horizon.Here, Ds and DH are demand functions…

Q: 2. If D is the rectangular box defined by -1 < x < 2, -1 <y<0, 0<z <3, evaluate 2 2 !!! ( ₁ - Taly)…

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Q: A manufacturing system faces dynamic demand, which results in lumpy demand for a component in a…

A: As per the question, we are presented with a manufacturing system facing dynamic demand for a…

Q: Evaluate the following contour integral, oriented counterclockwise. eniz √2-27 ||z|=2 (z − 1)(2² +…

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Q: 10. Rectangle ABCD with vertices A(1, 0), B(7, 2), C(8, -1), and D(2, -3): O (a) Translation: (x,…

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Q: 1. Problem 1 For each of the following matrices, compute the rank and the inverse if it exists.…

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Q: Find the general solution of the given system. Use a computer system or graphing calculator to…

A: This is a problem of the system of the differential equations.

Q: Represent the following system of differential equation as Block Diagram. Assume all initial…

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