1. [-/1 Points] DETAILS SCALCET8 14.4.021. MY NOTES PRACTICE ANOTHER Find the linear approximation of the function f(x, y, z) = \\ x2 + y2 + z2 at (7, 4, 4) and use it to approximate the number V 7.032 + 3.982 + 3.992. (Round your answer to five decimal places.) f(7.03, 3.98, 3.99) ~ Need Help? Read It Watch It4. [/2 Points] DETAILS SCALCET8 14.4.031. MY NOTES PRACTICE ANOTHER If 2 = 3x2 + y2 and (X, y) changes from (1, 3) to (1.05, 3.1), compare the values of A2 and dz. (Round your answers to four decimal places.) 5. [-11 Points] DETAILS SCALCET8 14.4.033.MI. MY NOTES PRACTICE ANOTHER The length and width of a rectangle are measured as 48 cm and 40 cm, respectively, with an error in measurement of at most 0.1 cm in each. Use differentials to estimate the maximum error in the calculated area of the rectangle. Need Help? 6. [/1 Points] DETAILS SCALCETS 14.4.039. MY NOTES PRACTICE ANOTHER If R is the total resistance of three resistors, connected in parallel, with resistances R1, R2, R3, then 1 1 1 1 7=++. R R1 R2 R3 If the resistances are measured in ohms as R1 = 16 .0, R2 = 25 .Q, and R3 = 8 (1, with a possible error of 0.5% in each case, estimate the maximum error in the calculated value of R. (Round your answer to three decimal places.) :0 7. [/1 Points] DETAILS SCALCET8 14.4.501.XP.M|. MY NOTES PRACTICE ANOTHER Find an equation of the tangent plane to the given surface at the specified point. z = 5(x 1)2 + 3(y + 3)2 + 6, (2, 2, 14)