Can you explain your multiplication steps in part b?

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A: Given the bottle showing dimensions. We can divide the bottle into two parts: one having sinusoidal…

Q: SOLVE BY SUBSTITUTION a) y dx = 2(x + y) dy

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Q: (3). (a). Find the values of k for which the following matrix C is invertible. (b). Find C-1 for k =…

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Q: Consider the mathematical program below for the remaining questions: max 18x1 + 22x2 + 7x3 +14x4…

A: max s.t We have to verify  is valid inequality or not.

Q: please answer these question using manual computation or solution

A: AExplanation:Use Laplace transform to solve the differential equation (y'' + 6y' + 8y = 2) subject…

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Q: True or false: If f is analytic at each point of a closed contour I, then fr f(z) dz = 0. If true…

A: The objective of the question is to determine the validity of the statement: If a function f is…

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Q: Question 4. Let for every n E N, An= {0, 1,2, ...,n}. Find n An and An. U nEN nEN

A: Ans:a).{0,1}b).{0,1,2,3,4,5,...}For details please see the explanation.If you have any problem then…

Q: Consider the following matrix: 1 2 3 0 1 1 -2 3 5 1 78 Do the columns span all possible 4 × 1…

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Q: [1] 5 Let u₁ = , նշ = 5 , U3 = 2 (a) Find the transition matrix T corresponding to the change of…

A: Given that .We need to calculate the transition matrix from  to .To find the transition matrix from…

Q: Answer no. 19 only

A: 2/s( 1+e^-s/s)Explanation:Step 1:--Step 2: Step 3: Step 4:

Q: Suppose x, pЄ Z such that p is prime. If 5401 (mod p) 740 = 1 (mod p) find the least positive…

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Q: CAN YOU EXPLAIN IN  DETAIL PLEASE how to find particular solution I have trouble undertsanding how…

A: The detailed answer is shown below Explanation:I hope this helps.Thankyou Please do rate

Q: Kylasben

A: The objective of the question is to understand the FitzHugh-Nagumo equation, which is a simplified…

Q: Find three angles with the same sine or cosine of 5.2, up to sign. 2.5 1.5 2 3 02 -0.5 3.5 4 0.5…

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Q: 5. Express in exponential form. a) log5 625 = 4 b) log16 4: = c) loga c = b 2

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Q: A financier has made a loan of $15 million. The contract for the loan calls for payment of interest…

A: After 3 years, a total of 7 years remain in repayment, That is, at the end of 7 years now, he pays…

Q: --3 7 -7 -3 integer. (Your formulas should not cont

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Q: 1. For each pair of integers m and n, use the division algorithm to divide m by n. Write the result…

A: For each of the pair of integers  and using division algorithm to divide  by  and write the result…

Q: 7. Find a function u(x, y) that is harmonic in R2 and that equals f(0) = 4 sin(30) + 5 cos(60) on…

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Q: mine the differential equation function whose general solution is the family 2x y = 1+206**

A: The solution a DE is given byClearly it has one arbitratry constant, hence the DE must be a first…

Q: Express the integral f(x, y, z) dv as an iterated integral in six different ways, where E is the…

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Q: Suppose that S is a vector space that is a subspace of the space of functions from R to R.…

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Q: 5. The revenue and operating cost of a car wash facility are given by R(x) = 13x - 0.7x2 and C(x) =…

A: The revenue and operating cost of a car wash facility are given by and where  represents the…

Q: Find the directional derivative of f(x, y) = sin(x+2y) at the point (-3, 5) in the direction = π/6.…

A: Given function: We have to find the directional derivative for given function at the point  in the…

Q: Which of the following represent the first 5 terms in a sequence with a first term of -2 and a…

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Q: Find the traces of the given surface in the planes x = k, y = k, z = k. Then identify the surface…

A: Given the surfaces, we need to find the traces on the planes x=k,y=k,z=k.(a)Consider the surface…

Q: Solve the following systems of linear equations using Gauss-Jordan Elimination method.  –x + 2y = 5…

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Q: = Solve Ax b using the LU factorization given. Show your work. 20 1 -2] 8 A b 4 0 1 14

A: Given .We have to solve  using LU factorization.

Q: (1) For these problems, make a graph and label the a and b, and so on. (a) Give an example of a…

A: For these problems, make a graph and label the a and b, and so on. (a) Give an example of a function…

Q: Evaluate the triple integral. SSSE 9 sin(y) dv, where E lies below the plane z = x and above the…

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Q: 3) Find the laurent series. a) z² sin ½, 00 expansion b) 플로럴 on 2+32 d) z²+24

A: We have to find out the Laurent series expansion of part a and d

Q: uestion 2. Prove that P(ANB) = P(A) ΜP(B).

A: See ExplanationExplanation:Step 1:  Step 2: Step 3: Step 4:

Q: Consider the bilinear form H: R2 × R2 R defined by →> = x1 y1 + 6x1y2+6x2Y1 + 3x2Y2. H Let B= =…

A: Given the bilinear form  defined by.The ordered basis of R2 is .

Q: Find the points (x, y) and the unitary directions w = (u, v) in which the directional derivative…

A: The directional derivative is maximum in the direction of gradient.That is DW(x,y) will be maximum…

Q: 1. Simplify. Express your answers with positive exponents. a) (3x3y3)(2xy-3)2 b) 16a²b³ 4a-165 -2 c)…

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Q: Using the example, can you show the Laurent series for (2+3z)/(z^2+z^4), 0<abs(z)<1

A: z2(1+z2)2+3z​=z2​+z23​−3z+3z3−3z5+...−2+2z2−2z4+2z6−...Explanation:To find the Laurent series of the…

Q: turner video will invest $76,344 in a project. The firm's cost of capital is 10 percent. The…

A: Part (a):If the reinvestment assumption of net present value is used, the 10% required rate of…

Q: 16 In(7x5y5) + 8 = Find the maximum of f(x, y) subject to x² + 1² = 4, x > 0, y > 0.

A: we need to solve

Q: Show that the matrix below is not invertible. Use as few calculations as possible and justify your…

A: A square matrix A is said to be invertible if  . Otherwise A is not invertible.

Q: Assume that the matrices are conformable for block multiplication and compute the product of the…

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Q: 3 Find the Fourier series expansion for the function -2< x < 0 0 < x <1, 0 f(x) = = X 2-x 1 < x < 2…

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Q: A commercial sewing machine costs $18 000 when new. Its value depreciates by $200 for every 1000…

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Q: 3. (Third Isomorphism Theorem) We wish to prove the Third Isomorphism Theorem, which states hat if…

A: The objective of the question is to prove the Third Isomorphism Theorem and perform computations…

Q: The graph of f(x) is shown (see figure). f(x) = 7x √x²+6 (a) Find the following limits. L = lim f(x)…

A: The function is given by .(a)And,

Q: 2+32 d) z²+24 , 0212/24

A: According to question answer guidelines we only solve one question at a time, here I am solving…

Q: 8. True or false: If f is analytic at each point of a closed contour I, then fr f(z) dz = 0. If true…

A: The objective of the question is to determine the validity of the statement: If a function f is…

Q: sketch z2 = z1* on the axis given z 1 = -1.7+j1 complex number 21 shown below: 3 Imaginary -2 -1 0…

A: Given thatWe have to sketchWe know that

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT SOLVE BY BERNOULLI OR INTEGRATING FACTO

A: A differential equation of the form is a Bernoulli differential equation.A differential equation of…