Q3) the following force balances: 0 = k(x2-x1) +m₁g - kx1 0= k(x3 -x2) + m₂g-k(x2-x1) 0= mag-k(x3 - x2) - kx3 Assume g=10m/s², ml-2000g, m2-3000g, m3-2500g and k-10N/m, use Jacobi method to solve for the displacements x. and perform the first three iterations.

Q: If f(x, y) = (17x - y)3, then is given by: af dy (17x (17 – ) 13 - 18 (17x 13 - - 13 Y)2 – ) 18 (17x…

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Q: Suppose that f(æ, y) = e" = e-3z? - 4y? +y

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Q: 1. f(x) = ax2 + bx +c = ? y %3D y = f(x) A) 3x2 B) 2x2 + 1 C) 4x2 - 1 D) x2 + 2x E) 2x2 - x +1 3.

A: By the graph can say that the value of the function at x=0 is 1 and at x=1 the value is 3. that is…

Q: Exercises: Differentiate the followings 1. y = (2x2 – 4x + 1)60 %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: f(x,y)= eaxy fxx = eaxy ·(24) ²₂ fxy = e² fyy = eaxy. (2x)² fyx = -2xy. 24 axy, fx = e fy= e 2xy.…

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Q: Given f(r, y) = 4a* + 3a*y" - 3y, find 2.6 f:(z, y) = f,(z, y) - fz(2, y) fay(x, y) =

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Q: The initial concentration of phosphorous (C) in a waste water pond is 107 ppm, as against the…

A: (ii) Consider dCdt+0.06C=0⇒dCC=-0.06 dtIntegrating both sides we get⇒∫dCC=-0.06 ∫dt⇒log…

Q: Optimize z=f(x,y)=20×x×y-(x2+y2), subject to x+y=4 Do in 45 minutes to upvote

A: Optimization problem

Q: AB1: Find g(2), g'(2), and g"(2).

A: Given that gx=∫-2x2ftdt Now we have to find g2, g'2 and g''2 In the interval -2,2, fx=4-x2In the…

Q: f(x, y) = 8x3 6x2y3 + 7y4 -

A: Given data:     The given function is: f(x,y)=8x3-6x2y3+7y4.   The expression for the partial…

Q: Solve using variation of parameters or reduction of order (D² – 3D + 2)y = (1+e²x)¯2

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Q: The productivity of an airplane manufacturing company is given by: f(x, y) = 40x0.³y0.7 where x =…

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Q: F = D/B ((A + 4) \ (C+ 1)), where A = 5, B = 4, C = 3, D = 12: %3D

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Q: Differentiate: 3 a) F(y) = ( (y + 5y³) x²e* b) f (x) : x2+ex А c) f (x) : B+Cex

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Q: Prove the following relationships: Vx(vxÃ) = V(v.Ā)- VÃs

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Q: 9. f(x) = Зх + 4 Then f(x + h) – f(x) A h (3x + 4)(Bx + C + Dh) Find A, B, C, and D. A = B = C = and…

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Q: Given f(x, y) = 2æ - 5æ²y? – 4y*, find fa(x, y) =| 6x² – 10cy? -10x?y – 16y3 fee(2, y) = 12x – 10y2…

A: Find the partial derivative of f(x,y)

Q: 20) For the the function f(x) 5x-2, find f(4a+ 1) A) a-1 C) 9a-3 B) 20a - 1 E) 20a + 3 D) 9a – 1

A: Given that  f(x)=5x-2 Find f(4a+1)

Q: 252 EXERCISE 9E 1 Evaluate: a d a [²3x² dx 2 Evaluate: d (10-x²) dx ²(3x²-2+)dx √(1-x) dx b e b e…

A: 1)e) The given integral is 4x2-2x, limit from -1 to 2.  2)e) The given integral is [(3-x) (8+x)]/x4,…

Q: F(X)= 6+ * f(6) Find f(6) and a Number use FTC L and I

A: In this question, the concept of the Fundamental Theorem of Calculus is applied. Fundamental Theorem…

Q: = VI3(t G-÷) A W = w? = 5 – 12i, w e C w= ±v13 (은+i) B 13 13 V13 (+ w = W 13 13 w = ±V13(1+ 2i) D w=…

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Q: For f(r, v) = + find f(3,4) and state the domain of S(1, y).

A: We are given the two variable function here. To find the value f(3,4) we will simply put x=3 and…

Q: Verify that 5 18 11 2²4 ахду 22+ дуох - for f(x, y) = 2x³y6 - 4x5y4.

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Q: 12vt dt (1+t3/2)2

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Q: Solve the following PDE using the method of separation of variables and Fourier:

A: In this question, we solve the given boundary value problem by using the separation of variable as…

Q: f(x) = /6x g(x) = v24x %3D %3D Find (f g)(x). Assume x2. O A. (f g)(x) = 72x O B. (f g)(x) = 12,/a O…

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Q: f(x, y) = √4x² + 2y² fz(-4,-5) =

A: To solve the following problem

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Q: 2. y=(2x5-7)

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Q: 3.) The total weekly revenue( in dollars) that Depot realizes in producing and selling its speaker…

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Q: y = Arccot x 2 Arccot /x Vx(1+x) А. Arccot x С. x* +x Arccot x Vx(1-x) Arccot x Vx(1+x) В. D. -

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