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 satisfying x2 + y2 ? 1; range: real numbers - 
? z ? 
; level curves: circles with centers at (0,0) and radii r, 0 < r ? 1
B. Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at (0, 0)
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)
Answer: A
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Simplify the expression. All exponents should be positive integers.
A. -7a6b8
B. 
C. 
D. 
Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b) Find the x- and y-intercepts of the graph.(c) Determine whether the graph crosses or touches the x-axis at each x-intercept.(d) Graph f using a graphing utility.(e) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g) Find the domain of f. Use the graph to find the range of f.(h) Use the graph to determine where f is increasing and where f is decreasing.f(x) = 16x - x3
What will be an ideal response?
Find all numbers that must be excluded from the domain of the rational expression.
A. x ? 
B. x ? 4
C. x ? 16
D. x ? 4, x ? -4
Determine the center and the radius of the circle.x2 + (y - 5)2 = 49
A. (-5, 0), r = 7 B. (0, 5), r = 7 C. (0, -5), r = 7 D. (0, 5), r = 49