Mathematics 25O Test 4 (Hour Exam : perfect=45) given Spring 2017 [A] Credit given in proportion to the clarity of your WORK [B] You need not evaluate anything beyond a point where a calulator is necessary [C] NONGRAPHING use of calculators is allowed 



[1](a)  (Pg 261, part of #5; this was on previous test, but see [2] below?)(1 pt) Find f '(x) if f(x) = 3x^{5}  5x^{3}  


[2]  (Pg 261, more of #5; see [1] above?) Let f(x) = 3x^{5}  5x^{3} with domain of f restricted to: 0 x +2  



[3] 




Write an equation expressing the relationship between the field
width "x" and the length "P" of fence needed to enclose this playground. 
[4]  (a)(1 pt)(Pg 309 #1f) Use a calculator to express e as a decimal accurate to within 0.01  


(c)(2 pts)(Pg 355 part of #21) If 12 = 4e^{5k}, find the value of Y = 4e^{10k}. Show work. Do not use calculator. 
[5] 


[6] 



[7]  (a)(#13,15 Pg 388)(1 pt) Find  (  3 + 

+  x  )  dx 

(b)(handout)(2 pts) Find 

dx (The integrand is divided by ) 
(c)(handout)(2 pts) Find  dx 





