Question 2 Find the domain of the function: f(x,y)= Trova cination for v) - In(9-x-y) a. D={(x,y)|x+y > 9 b. D={(x,y)|35x+y<9} C. D={(x,y)|x+y23} d. D={(x,y)|3<x+y<9}
Question 6 6.67 pts Find the length of curvey = 2x3/2 for 3 << 7. Enter your answer a decimal that is correct to at least one decimal place.
17. Given f(x, y, z) = x^yz -- xyz', P(2,-1,1) and vector v =<1,0,1 >. Find i. the directional derivative of the function at the point P in the direction of v. ii. the maximum rate of change of f.
y -Sn 4, 12 sec t- 1 dt, on sys Find the length of the curve x = 4 4 0
y -Sn 4, 12 sec t- 1 dt, on sys Find the length of the curve x = 4 4 0
4. Find the length of the curve x 1 f(x)= 12 +-, 1<x<4. х
Consider the curve X = 42 y=ť, 0 <t<1 Setup the integral for the area of the surface obtained by rotating the curve about 27 (2+4 + 3t") dt [ 26 (28 + 3t) dt 2*t* 4 +01+ dt 27tº /2 + 3* dt [ 2013 (4+9t? dt
Q2- Find the length of the curve y = ln(x2 – 1) for 2 < x < 5.
3. Find the length of the curve y = y=for 0 < x < 2.
(6pts) Consider the curve given by the parametric equations x = cosh(4t) and y = 4t + 2 Find the length of the curve for 0 <t<1 M Length =
Evaluate Sc f(x,y)ds where is the curve y = x for 0 < x < 1 and the surface is f(x,y) = 1 + 9xy Select one: 14 a. 5 O a. V O b. O c. 18 13 O d. 1