Find the flux of the curl of field F through the shell S.F = -4x2yi + 4xy2j + z4k; S is the portion of the paraboloid 2 - x2 - y2 = z that lies above the 
A. 64?
B. 64
C. 
?
D. 8?
Answer: D
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Describe the indicated set in words and find the set.(P ? L) - (S ? C) , given the following information:The table gives the approximate nutritional value per serving of foods at a certain restaurant.
Let:C = {m : m provides 251 or more calories}P = {m : m provides 20 or more grams of protein}F = {m : m provides 10 or more grams of fat}L = {m : m provides 150 or more mg of calcium} S = {m : m provides 1000 or more mg of sodium}A = {m : m provides 1000 or more A.U. of Vitamin A}
A. Foods that have either 20 or more grams of protein or 150 or more mg of calcium, and also have either 1000 or more mg of sodium or 251 or more calories; {Chow Mein, Pizza, Bean Burrito, Pea Soup, Chicken Salad} B. Foods that have either 20 or more grams of protein or 150 or more mg of calcium, but do not have both 1000 or more mg of sodium and 251 or more calories; {Chow Mein, Pizza, Pea Soup, Chicken Salad} C. Foods that have either 20 or more grams of protein or 150 or more mg of calcium, but do not have either 1000 or more mg of sodium or 251 or more calories; {Chow Mein, Pizza, Pea Soup, Chicken Salad} D. Foods that have both 20 or more grams of protein and 150 or more mg of calcium, but do not have both 1000 or more mg of sodium and 251 or more calories; ?
Use the laws of exponents to simplify. Do not use negative exponents in your answer.(3-3)-2
A. 36
B. 
C. 35
D. 
Determine which value(s), if any, must be excluded from the domain of the variable in the expression.
A. x = 4, x = 0 B. x = 4, x = -4 C. x = -4 D. x = 0
Perform the indicated operation.(3x2 + 7x - 1) - (-5x2 + 9x + 2) + (-2x2 - 3x - 5)
A. 6x2 - 5x - 8 B. -4x2 + 5x - 8 C. -4x2 - 5x + 8 D. 6x2 + 13x + 4