Express the sum using summation notation.
- 
+ 
- ... + (-1)(13 + 1) 
13
A. 
k
B. 
k
C. 
D. 
k
Answer: B
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Solve the problem.The differential equation for a falling body near the earth's surface with air resistance proportional to the velocity v is 
where g = 32 feet per second per second is the acceleration due to gravity and a > 0 is the drag coefficient. This equation can be solved to obtain v(t) = (v0 - v?)e-at + v?, where v0 = v(0) and v? = -g/a = 
v(t), the terminal velocity.This equation, in turn, can be solved to obtain y(t) = y0 + tv? + (1/a)(v0 - v?)(1 - e-at) where y(t) denotes the altitude at time t. Suppose that a ball is thrown straight
up from ground level with an initial velocity v0 and drag coefficient a. Find an expression in terms of v0, g, and a for the time at which the ball reaches its maximum height.
A. t = 
ln 
B. t = 
ln 
C. t = 
ln 
D. t = 
ln 
Give an appropriate answer to the question.Determine the sum of the degrees of the vertices in a tree with 18 vertices.
A. 35 B. 38 C. 17 D. 34
Simplify.
A. 
B. x2
C. -x2
D. - 
Multiply.(x - 0.5)(x + 0.5)
A. x2 + 0.25 B. x2 - 1x - 0.25 C. x2 - 1x + 0.25 D. x2 - 0.25