Determine whether the relation defines y as a function of x. Give the domain.y = x3
A. Not a function; domain: (-?, ?)
B. Not a function; domain: all whole numbers
C. Function; domain: all whole numbers
D. Function; domain: (-?, ?)
Answer: D
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Find the center of mass of a thin plate covering the given region with the given density function.The triangular region cut from the first quadrant by the line y = -x + 7, with density ?(x) = x
A. =
,
=
B. =
,
=
C. =
,
=
D. =
,
=
Simplify the expression.sin(6x - y) cos(x - y) - cos(6x - y) sin(x - y)
A. sin 5x B. cos 5x C. sin(7x - 2y) D. cos(7x - 2y)
Solve the problem.The cross section of a piece of a roller coaster having a width of 300 feet and a depth of 145 feet is depicted below.What is the equation of this parabola?
A. y = x2
B. y = x2
C. y = x2
D. Not enough information
Provide an appropriate response.Find the amount by which the interest compounded annually is larger than the simple interest. Round to the nearest cent.Principal: $3062 Rate: 5% Years: 8
A. $237.17 B. $3299.17 C. $174.84 D. $2074.37