: Consider the following function. H(x, y) = 10 In(x2+ 3y³) (a) Find f(2, 3). (b) Find fy(2. 3) . (c) Find fry(2. 3) .

Q: Q1: For v=2x²y + x2y-y³, check the function for Harmonic and then find f(z).

A:

Q: For the function f(x,y) = e9xy, find fx and fy. fx = ? fy = ?

A:

Q: A metal sphere is heated so that t seconds after the heat has been applied, the radius r(t) is given…

A: Given, a metal sphere is heated so that t seconds after the heat has been applied, the radius r(t)…

Q: In the following function, let U and R be a variable and V be a constant. Find R'(U). v²R U = - R+V

A: Given: U=V2RR+V Now,            U=V2RR+V⇒UR+V=RV2⇒RU-V2=-VU⇒R=-VUU-V2;   U-V2≠ 0

Q: Calculate M6 for f(x) = V6x over [2, 5]. (Use decimal notation. Give your answer to two decimal…

A: If the interval [2, 5] is divided into 6 intervals, then each interval has length: ∆x=5-26=36=0.5

Q: Consider f(t) = (6t², 10t3, 3t4). Find ||f"(1)||. Type your answer.

A: