Find equations for the tangent plane and the normal line to the surface with equation x² + 9y² + 9z² = 22 at the point P(2, 1, 1).
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Mathematics
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Evaluate the definite integral using the definition.
A. 18 B. 54 C. 162 D. 324
Mathematics
Find the indicated sum.2, 4, 6, 8, . . . ; S47
A. 2256 B. 2303 C. 96 D. 2263
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 maximum value: 
B. 
and ; relative maximum value: 
; relative minimum value: 
C. 
; saddle point: 
D. 
and ; saddle point: ; relative minimum value: 
E. there are no critical points
Mathematics
Write the number in simplest form, without a negative radicand.
A. ±20
B. 20i
C. -20i
D. i
Mathematics