Factor, using the given factor. Assume all variables represent positive real numbers.12y4(2y + 1)-2/5 + 16y3(2y + 1)3/5 - 32y2(2y + 1)8/5; 4y2(2y + 1)-2/5
A. 4y2(2y + 1)-2/5(21y2 - 28y + 8)
B. 4y2(2y + 1)-2/5(-21y2 - 28y - 8)
C. 4y2(2y + 1)-2/5(19y2 - 28y + 8)
D. 4y2(2y + 1)-2/5(-19y2 - 28y - 8)
Answer: B
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Solve the differential equation.cos x 
+ y sin x = sin x cos x
A. y = cos x ln 
+ C cos x
B. y = cos x ln 
+ C cos x
C. y = cot x + C cos x
D. y = sin x ln 
+ C sin x
It is a fact that if you drop a rock, its velocity increases by 32 feet per second for each additional second it falls. We can conclude that the velocity of the rock is a linear function of time since the rock was dropped.
Answer the following statement true (T) or false (F)
Determine if the given function y = f(x) is a solution of the accompanying differential equation. y' - y = 3ex y = ex + 3xex
A. Yes B. No
Provide an appropriate response.Find the value(s) of x for which f(x) = 10 is discontinuous.
Fill in the blank(s) with the appropriate word(s).