Simplify the expression. Write the answer using positive exponents.

A. t9
B. t3
C. t-3
D. t-9


Answer: B

Mathematics

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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  

Mathematics

What is the determinant of the denominator?

Consider the equations: 3x + y = 9 4x - 3y = 4

Mathematics

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

Mathematics

The graph of a function is given. Decide whether it is even, odd, or neither.

A. even B. odd C. neither

Mathematics