Provide an appropriate response.(a) Express 
as a sum of partial fractions.(b) Evaluate 
.(c) Evaluate 
.(d) Find a solution to the initial value problem: 
= 
, y(4) = 12.
What will be an ideal response?
| (a) |  +  |
+ 2ln
+ C(c) 2x + ln
+ 2ln
+ C(d) y = 2(x + 2)(x - 5)2
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Solve the problem.Three noncollinear points determine a triangle. How many triangles can be formed with 8 points, no three of which are collinear?
A. 6720 B. 56 C. 24 D. 336
Solve the problem.A train ticket in a certain city is 
. People who use the train also have the option of purchasing a frequent rider pass for 
each month. With the pass, each ticket costs only
. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.
A. 22 times B. 21 times C. 23 times D. 24 times
Simplify the complex fractions.
A. - 
B. - 
C. - 
D. - 
Solve the problem.A 37-foot ladder is leaning against the side of a building. If the ladder makes an angle of 
with the side of the building, how far is the bottom of the ladder from the base of the building? Round your answer to the hundredths place when necessary.
A. 19.43 ft B. 23.83 ft C. 18.13 ft D. 8.76 ft