2. Use the inclusion-exclusion principle to find the number of solutions to the equation r+y+: = 19, where z, y, and z are positive integers. Hint: You know how to find the number of non-negative solutions to the equation above.

Q: Find the Ye neral solution of the eguation. 6y"_5y_4 y =o %3D

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Q: Find the.indicated..partial.devivatives. 2 3 a. 2. b.. ficx.ong.J.z. fryz.? 4 4_3

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Q: Use the Existence/uniqueness theorem to deter problem will have a unique solution. dy 4-1)+2ty = 3t²…

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Q: 3. fualende Zdv, where, E- (nyE):0くn<l,o<y<1-n,oくまく1-1-

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Q: 1. Is the following always true? If yes, clearly explain why. If no, give a specific counterexample…

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