1. [-/5.55 Points] DETAILS LARCALC11 13.1.015. Evaluate the function at the given values of the independent variables. Simplify the results. f( x , y ) = x sin y (a) ( 6, 12) (b) F( 5, 4 ) ( C) 1( - 7 , 0 ) (d) F( 3, 7 ) 2. [-/5.55 Points] DETAILS LARCALC11 13.1.026. Describe the domain and range of the function. xy Domain: 0 { ( x , * ) : * = 0) 0 { (x , v ) : * = 0 , y = 0) 0 { (x . v ): 1 = 0] 0 { ( x , v ) : x = * ) (x, y): x is any real number, y is any real number Range: O all real numbers Oz21 Oz20 Oz>04 OPEN HERE 3. [-/5.55 Points] DETAILS LARCALC11 13.1.053. Describe the level curves of the function. z = x2 + 4y2, c= 0, 1, 2, 3, 4 O The level curves are non-circular ellipses. The level curves are parabolas. O The level curves are parallel lines. The level curves are hyperbolas. The level curves are circles. Sketch a contour map of the surface using level curves for the given c-values. O O N c x 2 (= 1 c=1 2 -3 -2 - 1 2 3 -1 - 3 O4 OPEN HERE 4. [-/5.55 Points] DETAILS LARCALC11 13.2.008. Find the indicated limit by using the limits ( x , y ) - ( 2 , b ) f(x, y) = 5 and ( x , x ) - ( 8. 6 ) 9 ( x , y ) = - s. lim 7f ( x, y ) ( * , y ) - (a , b) g (x , y ) 5. [-/5.55 Points] DETAILS LARCALC11 13.2.035. Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim ( x , y ) - (0 , 0 ) In ( x 2 + y? ) 6. [-/5.55 Points] DETAILS LARCALC11 13.3.011. Find both first partial derivatives. f( x, y ) = 5x - 6y+3 fx ( x, y ) = fy ( x, y ) =7. [-/5.55 Points] DETAILS LARCALC11 13.3.031. Find both first partial derivatives. Z = cos(3xy) Oz Oz ay = 8. [-/5.55 Points] DETAILS LARCALC11 13.3.058. Find the first partial derivatives with respect to x, y, and z. f ( x, y, z) = 3x2y - 6xyz + 10yz2 fx ( x , y, z ) = f ( x, y, z) = f ( x, y, Z) =