Factor any difference of two squares, or state that the polynomial is prime. Assume any variable exponents represent whole numbers.25x4 - 36y6
A. prime
B. (5x2 + 6y3)(5x2 - 6y3)
C. (5x2 + 6y3)2
D. (5x2 - 6y3)2
Answer: B
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Solve the problem.Write parametric equations for the tangent line to the curve of intersection of the surfaces 
and 
at the point 
A. 
B. 
C. 
D. 
Provide an appropriate response.The following equations each describe the motion of a particle. For which path is the particle's velocity vector always orthogonal to its acceleration vector?(1) r(t) = t4i + t4j(2) r(t) = cos (7t)i + sin (2t)j(3) r(t) = ti + t3j(4) r(t) = cos (-4t)i + sin (-4t)j
A. Path (2) and Path (4) B. Path (4) C. Path (3) D. Path (1)
Solve for the angle ?, where 0 ? ? ? 2?sin2? = 
A. ? = 
, 
, 
, 
B. ? = 0, ?, 2?
C. ? = 
, 
, 
, 
D. ? = 
, 
, 
, 
Find the x- and y-intercepts for the equation. Then graph the equation.6y - 3x = -9
A. (-3, 0), 
B. 
, (0, 3)
C. (3, 0), 
D. 
, (0, -3)