help me to solve the third one Sketch the graph of f(x, y) = 4x^2 + 16y^2 + 4. S

Question

help me to solve the third one

Sketch the graph of f(x, y) = 4x^2 + 16y^2 + 4. State the domain and range of the function. Which of the following surface graphs represents f(x, y) = 4x^2 + 16y^2 + 4? Find the domain of the function. Select the correct choice below and. if necessary, fill in the answer box(es) to complete your choice. A. {(x, y): x lessthanorequalto and x greaterthanorequalto} (Simplify your answers.) B. {(x, y): x notequalto} (Simplify your answer. Use a comma to separate answers as needed.) C. {(x, y): x lessthanorequalto } (Simplify your answer.) D. {(x, y): x greaterthanorequalto} (Simplify your answer.) E R^2 Find the range of the function. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. {z: z lessthanorequalto and z greaterthanorequalto} (Simplify your answers.) B. {z: z lessthanorequalto} (Simplify your answer.) C. {z: z greaterthanorequalto } (Simplify your answer.) D. {z: z notequalto} (Simplify your answer. Use a comma to separate answers as needed.) E. R

Explanation / Answer

z>=4. (c is the right answer put 4)

z will greater than or equal to 4

which is at (0,0)

minimum value of f(x,y)

f(0,0)=0+0+4=4

first two term (4x2+16y2) of function always greater than or equal to zero

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