Use the total differential to quantify the following value. (2.04)2(9.02)−22(9) Step 1 We need a function z=f(x,y) such
Posted: Wed Jul 13, 2022 5:05 am
- Use The Total Differential To Quantify The Following Value 2 04 2 9 02 22 9 Step 1 We Need A Function Z F X Y Such 1 (40.2 KiB) Viewed 46 times
Use the total differential to quantify the following value. (2.04)2(9.02)−22(9) Step 1 We need a function z=f(x,y) such that the quantity can be represented by f(x+Δx,y+Δy)−f(x,y) for some x and Δx. Let z=f(x,y)=x y Step 2 If (2.04)2(9.02)−22(9)=f(x+Δx,y+Δy)−f(x,y) then x=y= and dx=Δx= and dy=Δy= Step 3 The total differential dz for the function z=f(x,y) is dz=ydx+2dy. Step 4 Substitute the values of x,y,dx, and dy in the equation and simplify. Therefore, (2.04)2(9.02)−22(9)=Δz≈dz=