Let y = y(m} be implicitly given by $2 cosy = ye?I + 33mm. Answer entry help: Be careful with brackets, Check how the system interprets your answer. Write UHEW} Write utv Write 9 Write |n(u} Write (uyw) Write pi Write costheta} Write sqrt(z} for for for for for for for for 1.52\" (parenthesis and * are required) it - t} (* is required} e 1111; {parenthesis are required} % (parenthesis are required if u and v are complicated expressions} 'i'T cos 6' [parenthesis are required} VIE (parenthesis are required} Let fl$1yizl=m- Part a. If VH1, ID, 2] = (a, b, c] then {1 b = .6: BBQ Part b. If M denote the maximal rate of change of f at the point [1, l], 2) then M = B Part c. It the unit vector u = (A, B, 0} denote the direction in which maximal rate of change off it occurs, then A = B = C 2 BBQ Answer entry help: 1. No blank spaces are allowed in the answer fields 2. If your answer a = Z please write only Z in the answer box. Note that a = is already written. Thus, if you put a = Z in the answer box, the system will read this as a = a = Z and will treat as a wrong answer. 3. Write V": v3 Write W: for 'U - z (multiplication of 'U by 2) Write |n(z} for 1112 (parenthesis are required} Write sqrt(z} for v2 (parenthesis are required) Write sin(z} for siuz (parenthesis are required) Write pi for r Let re. 2;, z) = a:- any)? + 2 Parta. If Vf[0,e5,0]=(a,b,c) then b = E 282 11. gig 3-25 v Part b. The directional derivative of f at [0, e5 , O) in the direction of vector u = ME Answer entry help: 1. No blank spaces are allowed in the answer fields 2. If your answer a = Z please write only Z in the answer box. Note that a = is already written. Thus. if you put a = Z in the answer box, the system will read this as a = a = Z and will treat as a wrong answer. 3. Write v\": v?" Write if": for v - z (multiplication of t} by z} Write Inlz} for 1.11 z (parenthesis are required} Write sqrt(z) for v3 (parenthesis are required) Write sinljz) for sinz {parenthesis are required) Write pi for r