Find the domain and range of the relation.{(11, -9), (8, 9), (-1, -3), (-1, 1)}
A. Domain = {8, 11, -1, 1}; range = {9, -9, -3, 1}
B. Domain = {8, 11, -1, -11}; range = {9, -9, -3, 1}
C. Domain = {8, 11, -1}; range = {9, -9, -3, 1}
D. Domain = {9, -9, -3, 1}; range = {8, 11, -1}
Answer: C
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Find the gradient field of the function.f(x, y, z) = (x5y2 - y10z3)e-z2
A. ?f = 5x4y2e-z2i + (2x5y - 10y9z3)e-z2j + y2ze- z2[y8z(2z2 - 3) - 2x5]k B. ?f = 5x4i + (10y9 - 2y)j + 2z4e-z2k C. ?f = 5x4y2i + (10y9z3 - 2x5y)j + (2z2 - 3)y10z2k D. ?f = 5x4y2e-z2i + (2x5y - 10y9z3)e-z2j + (3 - 2z2)y10z2e-z2k
Graph the function.y = -1 - tan (x + 
) 
A. 
B. 
C. 
D. 
Solve the problem.For what numbers x, -2? ? x ? 2?, does the graph of y = cot x have vertical asymptotes?
A. -2?, -?, 0, ?, 2?
B. -2, -1, 0, 1, 2
C. - 
, - 
, 
, 
D. none
The augmented matrix of a system of equations has been transformed to an equivalent matrix in row-echelon form. If the system is consistent, then give the solution. If it is not, then state that it is inconsistent.
A. (2, 5) B. (5, 2) C. (4, - 2) D. Inconsistent