Find an explicit solution of the given initial-value problem. 2 dy dx = y - xy, y(-1) = -3 y =

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Q: Consider two brine tanks connected as shown in the figure below. Tank 1 contains x(t) pounds of salt…

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Q: Solve the given initial-value problem. x(x + 1). + xy = 1, y(e) = = 1 dx y(x) = Give the largest…

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Q: Let n E 2, n > Let greatest common divisor of f([aln) = f(bln) whenever la

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Q: Advanced Math PLEASE PROVIDE STEP-BY-STEP EXPLANATION AND ANSWER! You have baked a rectangular pan…

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Q: px + qy=z-a √x² + y² + z²

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Q: Find the line that best fit the data 2 [8] [8] [3]- "

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Q: Use the eigs () function to check the condition/structure of the XTX matrix

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Q: In a three-dimensional coordinate system (R3), the equation x2 + z²=9 represents a

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Q: 6 Consider having A R₂ (+) RB (a) respectively units Constant Show b) If units reliability functions…

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Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b),…

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Q: Let f be a mapping from [1,+∞[ to [1,+∞[, defined by f(x)=x+1/x. Then f is continuous but it is not…

A: A function is homeomorphic when it follows the bijection. The bijective property is one of the…

Q: L-1 { s-1 (s² +9) Find laplace inverse.

A: To Find: Laplace Inverse i.e., ℒ-1s-1s2+9

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A: Solution:This is the case which jjust distinguishes two levels of income, Low and High.If the high…

Q: 5 is to be apportioned among these states

A: Given as, Numbed of seat= 17 and total population= 20090.

Q: Find

A: We use definition of Z-Transform.

Q: B C D E F 31 10 1 36 24 25 17 -- 10 12 2 9 1 39 5 -- 16 13 25 2 16 -- 30 24 17 9 13 30 -- The…

A: We can start with vertex D, then we have to delete all elements from row D.    A B C D E F A…

Q: Find the work done in moving a particle from point P(- 5, 0, 2) to Q(3, - 1, 4) if the magnitude and…

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Q: the root for the following equation ex - 3x, [1.5, 1.6] then f(c4) = 1.50625.

A: Here follow the python script.

Q: X = 1 + 6t y = 2 + 4t, t ER z = 2t A line is defined by the parametric equation L : If the point (a,…

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Q: 2. Simplify and make sure to show all your steps a+2. (x¹a-3)(x²+3 (x²+3) a) b) 3 -12 64m 10 100m¹

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Q: 7. Evaluate the z transform of x(n) = a^(-n) u(n)

A: The Z-transformation is a discrete time transformation from real plane to complex plane. In the…

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Q: Find the center and radius of the sphere: 3x² + 3y² + 3z² -6x - 12y + 18z + 150 O Center (1, 2, -3);…

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Q: 6. Evaluate the inverse z-transform of x(z)= 2z-1 (1-2z-1)2

A: Given: xz=2z-11-2z-12 To find: Inverse z-transform of given function.

Q: Is this matrix invertible ? Explain 9 0 9 0 0 0 0 3 0 0 0 1

A: Introduction: For a square matrix A, if the existence of another square matrix B is confirmed so…

Q: H.w1: evaluate fe* siny dx dy i) using the trapizodial rule in both direction, Ax= Ay = 0.1 ii)…

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

Q: 6. Evaluate for the all the roots of the function using Bairstow's method with r = s = 0. Terminate…

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Q: 22. Represent the graph of the following functions using a sine and cosine function. 323 124 10 8 m…

A: The general form of the function is f(x) = Asinkx+M or f(x) = Acoskx-π2+M Where M is the midline, A…

Q: 3-) (58+2) 32-8 (+2) (8+1

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Q: 03 // A)) Find the volume of solid below? =Y+X x² + 3² AC D4

A: Given solid is

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Q: Determine Step 3 using 4-Step Rule in finding the derivative of  y=2sin(x)cos(x).

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Q: Problem 8 5 Let A= 2 Calculate the eigenvalues A₁ and A₂ of A, and the corresponding eigenvectors ₁…

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Q: Which of the following vectors is orthogonal to the plane 3(x - 7) + (y + 8) - 5z = 15? O O O

A: Given equations of plane 3(x-7) +(y+8)-5z=15this is an equation of the form a(x-x1)+b(y-y1)+…

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Q: 10. Using 5x5 grids, determine the equation for steady state temperature distribution at T21, T22…

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Q: A = 20 02 0-1 0 -1 2

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Q: (30) Prove the following inequalities: log x 1 (a) Vr € R \{1}, X - 1 - √x (b) Vn € N, e- e − ( 1 +…

A: Given,a) log xx-1<1x , ∀x∈R*+\ 1b) e-1+1nn≤ e2n+1 , ∀n∈NWe will use Mathematical Induction…

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Q: A = [14]. -1

A: Here given A=111-1

Q: 8. What rule should be used in deriving f(x) = x³? A. Constant rule B. Sum rule 9. Find dy/dx y=e³x…

A: To find:  8. Name of the rule used in derivative of x5. 9. Derivative of e3x . 10. Derivative of…