Using the theorem on determinants, show that 1 a a2 A = 1 b b2 = (b – a)(c – a)(c - b) 11 - с с2

Q: If 0 is the angle between the vectors a and b, then prove that a ·b = |a||b|cos0. Hint: refer to the...

A: Given  if θ is the angle between the vectors a and b  we have to prove that a·b =abcosθ by using the...

Q: If A is a square matrix such that A =1, then A'is equal

A: Given, A is a square matrix such that A2=I.             

Q: 2. Suppose that the statement "If it snows in March, then no tree will bloom in April" is a true sta...

A: The given statement is "If it snows in March, then no tree will bloom in April" is a true statement ...

Q: 8) Use the Gauss-Jordan method to find the inverse of the matrix A %3D 23

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Q: To accommodate more depositors, new investment products were made available to the small businesses ...

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Q: B- [x+y A= 3 and C = y -2 x- y If AB = C, then what is A? equal to? 4 8 1. -16 2. [8 -16 -8] 3. 4 12...

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Q: Use the equation giving the flux of the vector field across the curve to calculate the flux of F(x, ...

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Q: 1 1 1 1 be a . If A,= a a b c C,A, =1 ca b then: 1 ab c (a) A, +A, =0 (b) A, +2A, =0 (c) A, = A, (d)...

A: It is given that ;     Δ1 = 111abca2b2c2       and    Δ2 = 1bca1cab1abc We have to find the relation...

Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = x2, y = 2x

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Q: In Exercises 25-28, sketch the domain of integration and express as an iterated integral in the oppo...

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Q: Prove that limx→4 √ x = 2 using the ε-δ-definition

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Q: Problem 13.1. Let X be a topological space; let A be a subset of X. Suppose that for each E A there ...

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Q: Find (A, B), ||A||, ||B||, and d(A, B) for the matrices in M2,2 usir (A, B) = 2a11b11 + a21b21 + a12...

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Q: . Let L ⊂ R3 be the following subspace: L = {(x1, x2, x3) : x1 + x2 + 3x3 = 0}, and let ℓ be the lin...

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Q: For demand function 2 = a-bP and supply function Q, = dP-c , using Cramer's rule determir.. equilibr...

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up. Tha...

Q: Use variation of parameters to find the particular solution to y'' + 5y' + 4y = 2e-34 Y(t) = [ Previ...

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Q: Determine the following probabilities of events. 1. What is the probability of rolling a die and get...

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Q: If the order of A is 4x 3, the order of B is 4 x 5 and the order of C is 7 x 3, then the order of (A...

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Q: Cookie salon is celebrating their second anniversary. They are offering hair service for only ₱699 f...

A: Discount = 1699 - 699 = 1000.  

Q: The arch of a bridge forms a parabola with the equation y=-0.00188x² + .946x –49 where y is the heig...

A: Given, The parabola equation representing the arch of a bridge is - y=-0.00188x2+0.946x-49 y=height ...

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)"...

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Q: 1 1 1 -1 2 1. A = 1 -1 2. 1 3. 3 2 -10 0 -10 -5 0 10 0. 0. 2. B = -2 6. 4 -5 -4 -2 From the given of...

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Q: Find the solution. dy +y= dx 1 1+e* A y = ce *-e"In (1– e*) B y = ce" +e"In(1+e*) c ye* = c+2ye "*In...

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Q: Consider the following maximization problem. Maximize P = 12x + y – 13z subject to the constraints 1...

A: Given that  Maximize P=12x+y-13zsubject to 12x-y+14z≤80                   x-13y+2z≤28               ...

Q: (x,y) Solve the system u=x- y, v= 3x + 3y for x and y in terms of u and v. Then find the value of th...

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Q: The absolute minimum of f (x, y) = x² +y² – 2y on the semicircle region D= {(r,y) | y> 0, x² + y? < ...

A: Given function is fx,y=x2+y2−2y and D=x,y|y≥0,x2+y2≤4. We have to find the absolute minimum of fx,y ...

Q: det (A) = 1. %3D

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Q: -10 0 -101 5 0 10 2 0. 6. B = -2 4 -5 -4 -2

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Q: 4. Determine which of the following sets of n x n ma- trices are subspaces of Mnxn (R). a) The n x n...

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Q: Exercises: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y =...

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Q: Find all distinct eigenvalues of A. Then find the basic eigenvectors of A corresponding to each eige...

A: To find The number of distinct eigenvalues and eigen vectors. 

Q: Let S = {(x,y) : x, y € R} = R². Define an equivalence relation on S (i.e. a subset of S × S = R² × ...

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = ť2.³ sin (t – 1) . Fin...

A: velocity of a particle along the x-axis is given by vt=t2.3 sint-1 claim- find all the times when th...

Q: Find the Laplace Transform fit) = sin(2t) cos (2t) 2 A F(8) = g2– 16 B F(s) = s²+ 16 © F (s) = s2- 1...

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Q: ovide an appropriate response. How do you know this? 13) Let f have a derivative on an interval I. f...

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Q: Given the nth-term formula below, compute the first five terms of the sequence: in an = n= 1,2,3, .....

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Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A y = x-(1 – e!-*) B x = y-(1 + e!-x) 2y = x³(1 + e!-2)...

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Q: Determine whe ther it canuerges coanditionally, absdutely diverges. or iii) ^) E(-1)*+l cos²(+) n=1 ...

A: (a) ∑an = ∑n=1∞-1n+1cos21n0&lt;cos21n&lt;1     for n∈ℕ⇒limn→∞an  ≠0Hence the series is divergent  

Q: Verify Green's theorem in plane for (x - 2xy)dx + (xy+ 3)dy where c is the boundary of the region de...

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Q: 9. Find the third-degree Taylor Polynomial for f(x,y) = yö4 about (2,1). x2y5+1

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Q: 1.W.1 Recall that P<n is the vector space of polynomials of degree at most n. Below we list several ...

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Q: Find the Laplace Transform of f(t) = cos? 3t A F(s) = -+ s2+36 B F(s) = 2s?+36 s²+36 , © ru) - :) F(...

A: We have to find the Laplace transform of f(t)=cos23t .

Q: Find the area of the region enclosed by the curves y = x² and y = 5x by integrating with respect to ...

A: To find The area of the region enclosed by the curves y=x^2 and y=5x by integrating with respect to ...

Q: The football coach randomly selected ten players and timed how long each player took to perform a ce...

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Q: Prove the following are valid (theorems) using resolution: (You must negate!) 1) (~Q->~P)--> ( (~Q->...

A: As per norms, we will be answering only the first question. If you need an answer to others then kin...

Q: Let R=[0,6]×[0,6]. Subdivide each side of R into m=n=3 subintervals, and use the Midpoint Rule to es...

A: Given :  R=0,6×0,6m=n=3

Q: 5. In previous problems dealing with two species, one of the animals was the predator and the other ...

A: (b) we have given the system A dxdt =-5x+2xydydt =-4y+3xy we have to determine all the equilibrium s...

Q: Find the Laplace Transform of et + 5 A s-4 5 B S-4 S s+4 D s+4

A: Linear transformation is used to solve the differential equation. For example the first order differ...

Q: (3) A firms production function is Q(L) = 15L -0.1Ľ , where output (Q) is a function of a single inp...

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Q: g(x) = 2x4 + 5x³ – 3 guaranteed to have a zero. (Select all (a) Use the Intermediate Value Theorem a...

A: Given- gx = 2x4 + 5x3 - 3 To find-  Use the Intermediate Value Theorem and the table feature of a g...