Simplify the expression. Write the answer using positive exponents.
A. t9
B. t3
C. t-3
D. t-9
Answer: B
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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 5x2 - 7y2
A. Domain: all points in the first quadrant of the xy-plane; range: all real numbers; level curves: hyperbolas
B. Domain: all points in the xy-plane; range: real numbers z ? 0; level curves: ellipses
C. Domain: all points in the xy-plane; range: all real numbers; level curves: hyperbolas
D. Domain: all points in the xy-plane; range: all real numbers; level curves: ellipses
What is the determinant of the denominator?
Consider the equations: 3x + y = 9 4x - 3y = 4
Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function.
?
?
A. ; relative minimum value:
B. ; saddle point:
C. ; relative maximum value:
D. there are no critical points
The graph of a function is given. Decide whether it is even, odd, or neither.
A. even B. odd C. neither