Solve the problem.The graph shows the amount of potential energy V(x) (in arbitrary energy units) stored in a large rubber band that is stretched a distance of x inches beyond its relaxed length.The magnitude of the force required to hold the rubber band at the position  is the derivative of the potential energy with respect to x, evaluated at the point  Estimate the force required to hold the band at a stretched position 

src="https://sciemce.com/media/4/ppg__dsd0601191643__f1q119g4.jpg" alt="" style="vertical-align: -4.0px;" /> (Hint: the force in this problem has units of "energy units per inch".)

A. 3.6 energy units per inch
B. 2.5 energy units per inch
C. 0.3 energy units per inch
D. 4.3 energy units per inch

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Answer: B

Mathematics

Solve the problem.Write (in the same base) the counting numbers just before and just after 1044five.

A. 1043five, 1100five B. 1042five, 1101five C. 1043five, 1111five D. 1043five, 1045five

Factor.-32m2n2 + 16m3n3 - 2m4n4

A. 2mn(m2n2 - 4)(m2n2 - 4) B. -2m2n2 (mn - 4)(mn - 4) C. 2m2n2 (mn + 4)(mn + 4) D. -2(m4 - 4)(n4 - 4)

Write the partial fraction decomposition of the rational expression.

A.  + 
B.  + 
C.  + 
D.  + 

Solve the linear programming problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400, and the average monthly salary of an aide is $1100. The camp can accommodate up to 35 staff members and needs at least 20 to run properly. The camp must have at least 10 aides and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?

A. 13 counselors and 17 aides B. 19 counselors and 23 aides C. 8 counselors and 12 aides D. 13 counselors and 16 aides