24 The line y = x - 10 intersects the curve x² + y² + 4x + 6y - 40 = 0 at the points A and B. Find the length of the line AB.

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Q: Consider a smooth function f such that f'(0.25) = -9.066698. The approximation of f'(0.25 )=…

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Q: 2. 3) Suppose the demand function of a candy business (Qa) is given by Qa = 1000 e-0.2P where: P =…

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Q: Suppose an 20.If limn→∞ an+1 = L,then an 1. If 0≤ L 1,then 1 ak diverges.

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Q: 30) verify that 15 a U = T₂ + solution of LA 1²+52² (ksin szt -√2 cos szt) + ce-kt du + + ku = k T₂…

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Q: - [8] 5 Problem 2. Determine if b = is a linear combination of a₁ = 3 ,a₂ = -B 6 a3

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Q: (a) Compute 40¹¹0 mod 37 using modular exponentiation. (b) Evaluate -96 mod 5

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Q: ×89+ ၆ - ( (-3)5+ +25 }

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Q: Q22. determine the family of curves that is orthogonal to when z > O (A) 3y2– 2x² = C (B) y = Cx2/3…

A: We have  2y2+3x2=k Differentiate both sides with respect to x: 4y dydx+6x=0⇒dydx=-6x4y

Q: So, L' (e^ F (4)) = f (t-a) ua (t) Now 2 [(5m) in en -e. it los (i) L uk [sint} 2k --(4-k)s - ille…

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Q: 3. Define the functions gn (2) TL n+1 0 OO 2-¹<x<2" else Then consider the function f(r) = 9(r)…

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Q: 11. Fill-in the box. Given: Rectangle ABCD with diagonals line MA and line RK R Proof: A M Prove:…

A: We need to prove MR ≅ AK