Find the domain and range of the relation.{(12, 2), (12, -2), (-8, 1), (7, 8), (3, -8)}
A. Domain: {12, 12, -8, 7, 3}; Range: {-2, 1, 8, -8, 2}
B. Domain: {12, -2, -8, 7, 3}; Range: {-2, 1, 8, -8, 2}
C. Domain: {-2, 1, 8, -8, 2}; Range: {12, 12, -8, 7, 3}
D. Domain: {12, -8, 7, 3}; Range: {-2, 1, 8, -8, 2}
Answer: D
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Evaluate the integral.
dz
A. - 
csc 
+ C
B. -cot 
+ C
C. csc 
+ C
D. -csc 
+ C
The function f is one-to-one. Find its inverse.f(x) = 
A. f-1(x) = 
B. f-1(x) = 
C. f-1(x) = 
D. f-1(x) = 
Find the standard form of the equation of the ellipse satisfying the given conditions.Endpoints of major axis: 
and 
; endpoints of minor axis: 
and 
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Define a relation T on R as follows: for all x and y in R, x T y if and only if x^2 = y^2. Then T is an equivalence relation on R.
(a) Prove that T is an equivalence relation on R. (b) Find the distinct equivalence classes of T.