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The questions in 1-5 are concerned with functions of two variables.1. Let f(x, y) = x2y + 1. Find(a) f(2, 1)(b) f(1, 3)(c) f(3a, a)(d) f(ab, a ab)(e) f(0, 0)2. Let g(x) = x sin x. Find(a) g(x/y)(b) g(xy)(c) g(x xy)3. Find g(u(x, y), v(x, y)) if g(x, y) = y sin(x2y), u(x, y) = x2y3, and v(x, y) =πxy4. Find F(g(x), h(y)) if F(x, y) = xexy, g(x) = x3, and h(y) = 3y + 1.5. Let g(x, y) = ye3x, x(t) = ln(t2 + 1), and y(t) = √t. Find g(x(t), y(t)).6. Suppose that the concentration C in mg/L of medication in a patient’sbloodstream is modeled by the function C(x, t) = 0.2x(e0.2teet), wherex is the dosage of the medication in mg and t is the number of hours sincethe beginning of administration of the medication.(a) Estimate the value of C(25, 3) to two decimal places. Include appro￾priate units and interpret your answer in a physical context.(b) If the dosage is 100 mg, give a formula for the concentration as afunction of time t.(c) Give a formula that describes the concentration after 1 hour in…

4. Suppose the following functions are a general solution of: y(4) + a3y" +a2y" + a1y' + a0y = 0