50) Gregory can solve a simple equation for an average time of 1.35 minutes and a hard equation for 5.24 minutes. During a Mathematics exam, he spent 12.15 minutes answering simple equations, and another 26.2 minutes answering hard equations. How many equations was he able to solve in all? A. 11 B. 12 C. 13 D. 14

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A: To find the number of words contain exactly two vowels :-

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

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A: given series ∑n=1∞2+-1n·x+4n-1 radius of convergence is defined as R=limn→∞12+-1n1n

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Q: Use Laplace transform to solve the partial differential equation: d²u du du(x,0) t> 0, 0<x<1, u(x,0)…

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A: Minimize :  f = x12 + x22 + 60x1subject to ,    g1 = x1-80≥0                        g2 =…

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Q: Use Fourier transform to solve the partial differential equation: ди d²u ax² du(0,1) -10u: x>0,t> 0…

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Q: Let , ² be the complex cube roots of unity. Let z₁, z₂, z, be complex numbers such that z₁+z₂+z3 = A…

A: We will use properties of cube root of unity  ω3=1  and  1 + ω + ω2 =0

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Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

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Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

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Q: 6. Determine the Poisson brackets formed from the components of the angular momentum L.

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A: z =xy subject to x + 2y = 2lagrange function:L =U(x,y) +λ (M-p1x-p2y)

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Q: Give an example of a non-planar graph that is not homeomorphic to K5or K3,3.

A: We can solve this using definition of planar graph.

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Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

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