14. A box with 12 articles contains one that is defective. In how many ways can Martin select 5 articles such that. a the defective article is included, h the defective article is not included?

Q: Q2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration) 3x1 - 0.1x2 -…

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Q: Solve the following integral: I = y³ dædy R where the region R is: 1 R= { (x, y) E R² : ;x < y° <…

A: To solve for the below integral. I=∫∫Ry3dxdy Where, R=x,y∈R2:13x≤y2≤2x, 14≤xy≤1

Q: The altitude of a triangle is increasing at a rate of 3 cm/min while the area of the triangle is…

A: Given that  The altitude of a triangle is increasing at a rate of 3 cm/min The area of the triangle…

Q: -2 when -π<x<0 f(x) = (2 when 0<x<π %3D

A: This is a problem of Fourier series.

Q: Determine the solution of this system of linear equations

A: Given system of linear equation: To find: The relation between the variables x1 , x2 , x3 , x4.

Q: some triangular domain in the xy-plane with area equal to 9. S is the triangular area that is cut…

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Q: tet is cosinte toploy on set R show that (R, t) is O NOVmal space- Regualra space

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Q: Consider the following function. f(x) = 2 sin(x) + 2 cos(x), [0, 2n] Find f'(x). f'(x) Find f"(x).…

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Q: (cos 6, sin 0) (0,1f G4) 2x (号) (올) 120 3 3n 60 135 45 5x 150 6 30 (1,0) (-1,0) 0,0 180,t 7x 210, 6.…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 7 cos(t)i +3 sin(t)j +…

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Q: Example 11.16. The transverse displacement u of a point at a distance x from one end and at any time…

A: Please find step by step solution below:

Q: 5. Аx (В — С) %3D (А х В) — (А хС) 6. (А - В) хС %3 (АxC) — (В хС)

A: To prove the given statements.

Q: Let r (t) cos(10t) be the input to the transfer function G (s) %3D What is the scaler magnitude of…

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Q: logonai busis Ul the following matIx. 3 3 1 3 A = 8. 13 5 7 -6 9 15 6 -9 For convenience, here is…

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Q: 5) 6) 2ft 8 yd 7 yd 3.5 yd- 4 yd 3.5ft 3 yd

A: 5. In the trapezoid there are four rectangular faces and two trapezium shaped surfaces.

Q: If the partial derivatives of A, B. U, and V are assumed to exist, then 1. V(U + V) = VU +V or grad…

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Q: 4.51. Using the Laplace transform technique, find the unit impulse response of the system described…

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Q: Consider the vector field F = (x*y, x*y? Is this vector field conservative? Select an answer If so:…

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Q: (3)

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Q: Question 1 2 pts When setting up a FPFN table, where should you begin your calculations? Test…

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Q: 3tx dx - (? -x?) dt = 0

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Q: Convert the following Cartesian coordinates into polar coordinates (6,120) (10 3,30°) (18,270°)…

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Q: Let S be oriented with normal vectors pointing upwards. Let C be the boundary curve of S oriented…

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Q: use Lagrange multipliers to find the maximum and minimum values of f(x,y,z) = 4y −2z subject to the…

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Q: Obtain the general solution to the equation. dy y 5x +1 + dx The general solution is y(x) = ignoring…

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Q: Find x = that minimizes q(x) = x² – xy + y² subject to %3D the condition ||x|| = 1 , %3D

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Q: Find the Laplace transform of: 1. f(t) = e(3t-7) cos³ (6t)

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Q: 16. A farmer wants to fence an area of 2 million square feet in a rectangular field and then divide…

A: Here first we find the total length of fence in terms of the sides. Now using differentiation we…

Q: Find the flux of F across S, F.N ds where N is the upward unit normal vector to S. F(x, y, z) = 8zi…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: 5)Write the number of shaded squares in each triangle. Write the rule for the pattern and sketch the…

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Q: NEED ASAPP PLS!! laplace{(t^4-5)^3}

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Q: I Example 10.23. Given dy x?(1 + y) and y(1) = 1, y(1.1) = 1.233, y(1.2) = 1.548, y(1.3) dx = 1.979,…

A: We can solve this question using Adams bashforth method

Q: Q3/Solve the differential equation 2dy + 5 = e2xsinx )

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Q: Determine whether the series (-1)*-1 . converge, diverge absolutely or k³ +4 k-1 converge…

A: Convergence of the series

Q: 1 -3 3 4@ O } watrir, A= Find A75 3 -5 3 6 b 9- P the diffenen Linean

A: Given data A=1-333-536-64find  A75=?

Q: 2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration ) 3x1 - 0.1x2 -…

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Q: Find the positive root of the equation xe^x-3 using regula falsi method and correct to 4 decimal…

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Q: Solve the DE using Linear First Oder Method: y + ya2 = 25. if y(0) = 1 %3D

A: Introduction: A first-order ordinary differential equation is one in which all derivatives with…

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: the topology 7, = {X,ø{a},{b,c}} 1; = {Y.ø.{u}} B={X ×Y,6.{(a,u}…

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Q: 8) 112 km 9)

A: 8. The pyramid has three congruent triangular faces as the lateral surface and one triangular base.

Q: 11 f(x) dx - 3 I f(x) dx = f(x) dx

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Q: Suppose that $56,000 is invested at 6 % interest, compounded quarterly. a) Find the function for the…

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Q: (a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric…

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Q: Solve the DE using Linear First Oder Method: y +yx = x - 3. if y(0) = 2 %3D

A: Use the given method to solve.

Q: Dat

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Q: Example 103. Using the sheting metked, solre the boundary value problem : Mosdy=x(x), x@ = 0 and…

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Q: Example 10.28. Solve the differential equations dy = 1+ xz, dx dz - xy for x 0.3, dx using fourth…

A: we need to use runge-kuta fourth order method.

Q: Solve the following differential equation 1 y" + 4y = -2, = 2 8

A: