Solve the following initial value problems. (a) 2ut + ur= -2u, z,te R, t> 0; u(x, t) = f(x, t) on the straight line x=t, where f is a given function. (b) tuu, + xuu,= -tx, xER, t> 1; u(x, 1) = f(x), ER.

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A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

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A: Since multiple subparts are asked, I am answering the first 3 subparts.

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A: Given  f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get  f(2,…

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A: Given  demand curve of the firm is p=1200-21qtotal cost is C(q)=2q3-66q2+600q+1000

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Let's find value of given function.

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Q: (3) The demand curve of a firm is p =1200–21q and its total cost is C(q) = 2q° – 66q +600q+1000…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…