3. [-/1 Points] DETAILS LARCALC11 13.4.017. Consider the following. sin((5.45)2 + (4.55)2) sin(52 + 52) Find 2 = f(x, y). f(X, y) = Use the total differential to approximate the quantity. Need Help? 4. [-/1 Points] DETAILS LARCALC11 13.4.022. The volume of the red right circular cylinder in the figure is V = 7rr2h. The possible errors in the radius and the height are Ar and Ah, respectively. Find dV. Ah]; dV= 5. [-/1 Points] DETAILS LARCALC11 13.4.027.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The formula for wind chill C (in degrees Fahrenheit) is given by C = 35.74 + 0.62157 - 35.75v0.16 + 0.42757V0.16 where v is the wind speed in miles per hour and T is the temperature in degrees Fahrenheit. The wind speed is 25 + 3 miles per hour and the temperature is 80 + 30. Use dC to estimate the maximum possible propagated error (round your answer to four decimal places) and relative error in calculating the wind chill (round your answer to two decimal places).t dC = + dc : + % Need Help? Read It Watch It Master It 6. [-/1 Points] DETAILS LARCALC11 13.4.036. MY NOTES ASK YOUR TEACHER Show that the function is differentiable by finding values of &, and &2 as designated in the definition of differentiability, and verify that both &, and &2 approach 0 as (Ax, Ay) - (0, 0). f ( x , y ) = x2+ y2 Az = f (x + Ax, y + Ay) - f(x, y) = x2 + 2x(4x) + (4x) 2 + y2 + zy(Ay) + (Ay)2 -( Ax ) + 2 y ( Ay ) + Ax ( Ax ) + Ay ( Ay ) = f x ( x , y ) ( Ax ) + f , ( x , y ) ( Ay ) + = 1 ( Ax ) + E 2 ( Ay ) , where & 1 = and &2 As (Ax, Ay) - (0, 0), 81 - 0 and &2 - 07. [-/1 Points] DETAILS LARCALC11 13.4.039.MI. Use the function to show that f (0, 0) and f (0, 0) both exist, but that f is not differentiable at (0, 0). 3x 2y f ( x, y ) = ( x, y) = (0, 0) x4+ 12 0 ( x, y) = (0, 0) fx(0, 0) = f, (0, 0) = Along the line y = x lim ( x, y) - (0, 0) = Along the curve y = x- lim (x, y) - (0, 0 ) = Of is continuous at (0, 0) Of is not continuous at (0, 0) Need Help? Read It Watch It Master It