Provide an appropriate response.Verify the identity. cosh(sinh-1 x) =
, for all x
What will be an ideal response?
cosh(sinh-1 x) = cosh[ln(x + )]
=
=
= ?
=
= =
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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = sin-1(x2 + y2)
A. Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at (0, 0)
B. Domain: all points in the xy-plane satisfying x2 + y2 ? 1; range: real numbers - ? z ?
; level curves: circles with centers at (0,0) and radii r, 0 < r ? 1
C. Domain: all points in the xy-plane; range: real numbers - ? z ?
; level curves: circles with centers at (0, 0)
D. Domain: all points in the xy-plane satisfying x2 + y2 ? 1; range: real numbers - ? z ?
; level curves: circles with centers at (0, 0)
At what points is the given function continuous?f(x, y) = tan (x + y)
A. All (x, y)
B. All (x, y) ? (0, 0)
C. All (x, y) such that x + y ? , where n is an integer
D. All (x, y) ?
Perform the indicated operation and express in lowest terms. -
A.
B.
C.
D. 2x + 4
Graph the function.f(x) =
A.
B.
C.
D.