Given f(x, y) = 12√√/6x4 + 7y+ 3xy6, find fx(x, y) fy(x, y) = =

√(√3+)dx - Select one: OA. OB. OC. OD. ³/2-² + 4x¹/2 +C ³/2² + 4x¹/2 + C ³/2² + 4x¹/2 + C ³/2x² + 4x¹/² + C

Differentiate y with respect to x given y=√x(2+bx³). 7bx³ +2 2√x 3b³√x 2 6bx + 2 √√x 6b√√x+1 2√x

If w=3√4x-7y³ +2z5, find w

Solve (√x+x)=√y+y dx Select one: O a. y = (c(1+√x) + 1)² O b. y = (c(1+√x) − 1)² O c. y = (-c(1+√x) + 1)² O d. y = (-c(1+√√x) + 1)¹/² O e. y = (c(1-√x)-1)²

S- Find y dy Vy+2 using the substitution u +5=√√x+2. A ²/ (√x+2-5) (-5√/y+2+y+21)+C ℗ ²/(√√y+2-5) (5√/y+2+y+24) + C B C ²/ (√y+2−5) (5√√y+2+y+21)+C 3 D ²/ (√√y+2−5) (5√√y+2−y+24) + C

Use the functions given by f(x) = O 5√√x - 1 ○ 125 √x - 1 ○ 5³/√/√x + 1 O 1253√x + 1 0 5√x + 1 125 -X 1 and g(x) = x³ to find (f. g)¯¹.

Evaluate Sy√√x - y² dA, where R = {(x, y): 1 < x < 3,0 < y<2}.

Let (x1, y1) = (7, 2) and (x2, y2) = (1, -1). Find √[(x2 - x1)2 + (y2 -y1)2]. Express the answer in simplified radical form.

Find the value of h(7), where h(x) = f(x)-g(x), f(x)=√x +3, and g(x) = 2√x -1. Select one: a. -√7+4 b. -√7+2 √7-2 d. √7-4 C.