Suppose that x and y vary inversely, and x = 20 when y = 8. What is y when x = 16? What function models the inverse variation?

Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 2 5 1 1 A = 3 7 2 2 -2 10 23 7 -2 10 1…

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Q: The sum of the first n terms of an arithmetic progression is given sn = 7n2 - 8n. Find  first term…

A: We have the sum of first n terms is sn=7n2-8n Now, the first term is a1 and this is equal to the sum…

Q: 2 -3 1 -1 2 io Lo 100C

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Q: Consider the following IVP: y' +y = e2t ; y(0) = 0 Find the general solution. A) y(t) = 5 1 + -e 5…

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Q: 13. Consider the following linear program: Маx 1A + 2B s.t. 1A <5 IB <4 2A + 2B = 12 А, В 2 0 a.…

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Q: If [3-2 fro] dse =15 Then

A: Evaluation of the definite Integrals,   by using properties of the definite Integral

Q: (c) Find the inverse z-transform of Y(z) = (z-1)(z+3) * [Hint: Express Y/z in partial fractions]

A: Inverse Z transform

Q: 1 4 х +1

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Q: Compute the maximum value of the utility function U(x,y, z) = xyz, subject to x+ 3y+4z 60. %3D

A: To find: Maximum of the function U(x,y,z)=xyz subject to x+3y+4z=60.

Q: In x cot x 6 ) lim

A: We want to find limx→0+ ln xcot x

Q: Find the solution. y- y xy1/2 By -(3r-2- a,- © y-c3r-24½,:

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Q: Find the solution. dy dr

A: Divide both sides of the given equation by y2. dydx-yxy2=xy2y21y2dydx-1xy=x Consider 1y=u and…

Q: f(2, y)dA 4 to estimate the value for Use the Midpoint Rule with m R.

A: The midway technique is a one-step approach for numerically solving differential equations in…

Q: 2. Find the shortest path in the graph K2 fromfto c. 3 а f 9. 4 d The shortest path in the graph…

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Q: Solve the differential cquation d'y by using the method of variation of parameters.

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Q: Part I: Reflection about a line through the origin in R². In the context of linear transformations,…

A: “Since you have posted a question with multiple subparts, we will solve the first three subparts…

Q: 1. Which of the following is an integral representation of the gamma func rw) - r(x) = - 1)l dx

A: Definition of the Gamma Function

Q: For the given differential equation, apply the Laplace transform and solve for Y(s) = L{y}. y" + y'…

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Q: Kelly took clothes to cleaners three times last month. First, she brought 3 shirts and 2 pairs of…

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Q: Find the solution. (D2 - 20 - 3ly = 0; when x = 0, y = 0, y'= 4

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Q: For the region bounded by the curves y = |x and x = 2- y A. Set up a dx integral to find the area of…

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Q: Consider the hyperbolic partial derivative equation Uzz = Uu – sin (x), rE [0, 1], t>0, with the…

A: Given,uxx=utt-sin x , x∈0,1, t&gt;0Boundary conditions: u(0,t)=ux(1,t)=0 , t&gt;0…

Q: Determine the equation of the tangent line to the path r(t) = (sin(47), cos(41), 1215/12) at t = 1.…

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Q: How many rectangles are on a m x n-size "chessboard"? For example, there are nine rectangles on a 2…

A: A rectangle is formed using two horizontal lines and two vertical lines.  The number of ways r items…

Q: dy/dx = y^3/1-2xy^2 , y(0) =1

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Q: ren mFD = 152° and mCE = 54°, determine measure of the angle ZFBD. 54 u may assume that point A is…

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Q: 6 ý x In x=y 2/y-1 (も 2y=y cotx

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Q: 5. Show a separate graph of the constraint lines and the solutions that satisfy each of the…

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Q: Find atleast three approximations of a solution of the equation f(x) = x – 2x3 0 by Newton Rampson…

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Q: Draw the graphs and find the between the area curves f(x) = (-1)*x² +(-1)°(c+3)x+(-1)*(a+2) and…

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Q: Evaluate the integral by changing to cylindrical coordinates. (16 - y2 xz dz dx dy 16 - y

A: Given integral is ∫-44∫16-y216-y2∫x2+y26xzdzdxdy

Q: Consider a mini-web as a dynamical system. Let A be the coefficient matrix of this system and a be a…

A: In linear algebra, eigenvalues and eigenvectors are linked. In the study of linear transformations,…

Q: 2. Consider the function f : R x R -RxR defined by – y, f(2,9) = (V,). Determine the powers of f.…

A: Given: f:ℝ×ℝ→ℝ×ℝ fx,y=x+y2,x-y2 Lets determine the power of f.

Q: Evaluate: 3 5 1. (a) -1 2 5 7 -4 10 1 1 1 1. a d (b) 62 2 d a3 63 d ,2 a

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Q: Consider the "divides" relation on the set A = {1, 2, 3, 5, 6, 7, 8, 10, 20, 30, 60, 70} (a) Draw…

A: A Hassen diagram is a graphical representation of the relation of elements of a partially ordered…

Q: A function f(x) is continuous at x = c if lim f(x) = f(c). if x + 0 Consider the function f(x) :…

A: The given function is                            fx=xx    if x≠01       if x=0

Q: 4. Find the number of surjections from {1, 2, ..., m} to {1, 2, .. ., n} such that no element in the…

A: We have to find the number of surjection.

Q: Find the solution. (D³ –2D2 –5D +6)y =0; when x =0, y=1, y'= -7, y"= -1 A -e -3x + 2e2x B y = -e3* –…

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Q: Ɔ) = 1, the solu %D dy + 4 + 4 dx

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Q: Example: Evaluate J = S, e-**dx by using trapezoidal rule, n=10.

A: Given Integral is J=∫01ex2dx

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 y = x-2(1 + el+*) Bx = y-(1 + e'-") y = x-(1 - e'-) D…

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Q: Find bases for the range and nullity of 1 -14 6. 4 - 4 10 8 -1 14 Matrix Algebra

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Q: the function f (x, y) = xy2 +1/6 x3 − x + 1 is given. a) find and classify all critical points of…

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Q: Mathematics grade 4

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the solution. (40-4D- 3D2 - 20 + 1ly = 0. В

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Q: nd a basis for and the dimension of the solution space of the homogeneous system of linear…

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Q: Setup a double integral that represents the surface area of the part of the plane 4x+y+5z=3 that…

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Q: Find the solution. (D³ +7D? + 19D + 13)y =0; when x =0, y=0, y' =2, y"=-12

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Q: Determine the Fourier cosine series for the following functions: - 2r? +1 for 0<ISa 7 for 0<r< 25…

A: Note: There is a typo in the given function in the interval. We are given the following function.…

Q: 2. Consider the function f : R x R →R × R defined by f(z,v) = (²,",). Determine the powers of f.…

A: Given: f:ℝ×ℝ→ℝ×ℝ defined by fx, y=x+y2, x-y2. To find: Powers of f.