The equation of the tangent plane of the surface LaTeX: z = 3x^2 - \frac{1}{y}z = 3 x 2 − 1 y at the point LaTeX: (2,-1)( 2 , − 1 ) is Group of answer choices

None of the other choices

LaTeX: z=12x + y + 13z = 12 x + y + 13

LaTeX: z=12x + y - 10z = 12 x + y − 10

LaTeX: z=12x + y - 23z = 12 x + y − 23

LaTeX: z=12x + y - 12

Abag contains 4 red, 7 blue and 5 yellow marbles. event a is defined as drawing a yellow marble on the first draw and event b is defined as drawing a blue marble on the second draw. if two marbles are drawn from the bag, one after the other and not replaced, what is p(b|a) expressed in simplest form? a. 7/16 b. 7/15 c. 14/16 d. 14/15

Simplify (2^5/3^2)^4 a. 2^20/3^8 b. 2^9/3^8 c. 8^5/12^2 d. 2/3^2

Sketch the vector field vector f( vector r ) = 8vector r in the xy-plane. select all that apply. the length of each vector is 8. the lengths of the vectors decrease as you move away from the origin. all the vectors point away from the origin. all the vectors point in the same direction. all the vectors point towards the origin. the lengths of the vectors increase as you move away from the origin.