Solve by the substitution method. x + 6y = 367x + 7y = 42
A. (-6, 0)
B. (36, 42)
C. (0, 6)
D. (1, 5)
Answer: C
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Assuming that the equations define x and y implicitly as differentiable functions 
find the slope of the curve 
at the given value of t.2x - t2 - t = 0, 2ty + 2t2 = 2, t = 1
A. - 3
B. 3
C. - 2
D. - 
Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at x = - 4 and x = 4. The cross sections perpendicular to the x-axis are semicircles whose diameters run from 
to 
A. 
?
B. 
?
C. 
?
D. 
?
Provide an appropriate response.Perform the indicated operation. Express as a power of 10: 
-3
Fill in the blank(s) with the appropriate word(s).
Indicate whether the sequence is arithmetic, geometric, or neither. Give the next two terms in the sequence.5, 15, 45, 135, 405, . . .
A. Geometric; 1215; 3645 B. Neither; 411; 415 C. Arithmetic; 408; 414