Rewrite the equation in a rotated x'y'-system without an x'y' term. Express the equation involving x' and y' in the standard form of a conic section.31x2 + 10
xy + 21y2 -144 = 0
A. x'2 = -4
y'
B. 
+ 
= 1
C. y'2 = -4
x'
D. 
+ 
= 1
Answer: B
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Find the area enclosed by the given curves.Find the area of the region in the first quadrant bounded on the left by the line y = 
and on the right by the curves y = tan 2 x and y = cot 2 x. (Round to four decimal places.)
A. 0.3094
B. 0.4126
C.
| 0.5858 |
D. 4.3094
Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function.The balance in a checking account b at the close of business on a given day x.
A. No B. Yes; x, b; there is one balance b on any given day x at the close of the business day.
Simplify.29 + 72
A. 102 B. 100 C. 91 D. 101
Factor the polynomial completely. If the polynomial cannot be factored, say it is prime.6(x + 13) - y(x + 13)
A. (x - 13)(y - 6) B. prime C. (x + 13)(6 + y) D. (x + 13)(6 - y)