Find the equation for the given conic in the x'y'-coordinates when the coordinate axes are rotated through an angle ?.14x2 + 12
xy + 2y2 - 23 = 0; ? = 30°
A. 
- 
= -1
B. 
- 
= 1
C. 
+ 
= 1
D. 
- 
= 1
Answer: D
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Find all possible functions with the given derivative.y' = 5x2 + 1
A. 10x + C
B. 
x3 + x + C
C. 
x3 + C
D. x + C
Provide an appropriate response.A toxic radioactive substance with a density of 2 milligrams per square centimeter is detected in the ventilating ducts of a nuclear processing building that was used 47 years ago. If the half-life of the substance is 20 years, what was the density of the substance when it was deposited 47 years ago?
A. 25.49 mg/cm2 B. 0.39 mg/cm2 C. 2.69 mg/cm2 D. 10.2 mg/cm2
Find the product.(3r + 4t)4
A. 81r4 + 81r3t + 864r2t2 + 864rt3 + 256t4 B. 81r4 + 3r3t + 432r2t2 + 432rt3 + 256t4 C. 81r4 + 432r3t + 864r2t2 + 432rt3 + 256t4 D. 81r4 + 432r3t + 864r2t2 + 768rt3 + 256t4
Subtract. Simplify, if possible.11
- 
A. 9
B. 10
C. 10
D. 11