Use a trigonometric substitution to evaluate the integral.
A. sin-1
+ C
B. tan-1 + C
C. tan-1
+ C
D. ln
+ C
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) = ex+y
A. Domain: all points in the xy-plane; range: all real numbers; level curves: lines x + y = c B. Domain: all points in the xy-plane; range: real numbers z > 0; level curves: lines x + y = c C. Domain: all points in the first quadrant of the xy-plane; range: all real numbers; level curves: lines x + y = c D. Domain: all points in the first quadrant of the xy-plane; range: real numbers z > 0; level curves: lines x + y = c
Find the foci and endpoints of each axis for the given ellipse.16x2 + y2 = 16
A. Foci: (± , 0); vertices: (± 4, 0);
endpoints of the minor axis: (0, ± 2)
B. Foci: (0 , ± ); vertices: (0, ± 8);
endpoints of the minor axis: (± 1, 0)
C. Foci: (0, ± ); vertices: (0, ± 4);
endpoints of the minor axis: (± 1, 0)
D. Foci: (0, ± 4); vertices: (0, ± 19);
endpoints of the minor axis: (± 4, 0)
Multiply and simplify. ?
A.
B.
C.
D.
Function f is .
?
Find
.
?
A. 6 B. No solution C. 7 D. ?-6 E. 1296