Determine whether the infinite geometric series has a limit. If a limit exists, find it.1 + 
+ 
+ . . .
A. 
B. 
C. 
D. No limit
Answer: B
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Solve the given differential equation. (The form of yp is given.)D2y - 3Dy = -3ex + xex (Let yp = Aex + Bxex .)
A. y = c1 + c2e3x + 
ex - 
xex
B. y = c1 + c2e3x - 
ex - 
xex
C. y = c1 + c2e3x + 
ex + 
xex
D. y = c1 + c2e3x - 
ex - 
xex
Solve the problem.If (-10, 2) is the endpoint of a line segment, and (-11, 6) is its midpoint, find the other endpoint.
A. (-8, -6) B. (-12, -2) C. (-2, 0) D. (-12, 10)
Solve the problem. Write ratios in simplest form.A molecule of ethanol is composed of two atoms of carbon, six atoms of hydrogen, and one atom of oxygen. What is the ratio of oxygen atoms to total atoms in a molecule of ethanol? What is the ratio of carbon atoms to hydrogen atoms?
A. 
; 
B. 
; 
C. 9; 3
D. 1; 3
Solve for x, in radians, so that x is within the indicated interval. Give an exact answer.
tan x - 3 = 0, [0, ?]
A. 
B. 
C. 
D. 