Math 250 Business Calculus
This is Paper Test # 5 [Go to web quiz 5]

Numerical answers are in our text, Hoffman, 11th edition;
Methods will be discussed using other problems
Links to other web pages were not on original test;
CAUTION: Prof McFarland makes new tests each semester.

Mathematics 250 Test 5 (Quiz : perfect=10) given Fall 2017
Credit given in proportion to the clarity of your WORK
 
__________________
  PRINT name above
grades
 
 
 
  paper test   web quiz
____________________
Total (max = 10)
Average grade on this test : 7.24
See future grade prospects?

[1] (part of #21 Pg 451; similar #20 done in class) At the right are the graphs of
[ y = 7250 - 18x2 ] and [ y = 3620 + 12x2 ].
 
(a)(2 pts, show work, not merely calculator output) Find the value of b, which is the right limit of the shaded area. You will need to solve a factorable quadratic equation (if you have done the take-home test problems, this will be easier). If you cannot find "b", assume b=10 in [1b] below.
 
(b)(3 pts) Without using a graphing calculator, express the area shaded at the right as a single definite integral by entering specific integers (such as 3, -2, or 0) in the 5 empty answer boxes below. Note that in the original version of this problem, the shaded area was a "lifetime profit".
 
 
 
(
 
x2 +
 
x +
 
) dx
Review methods of solving equations ?
 

 

 

[2] (a)(#27 Pg 394)(3 pts) Find
( x )2

x
dx   Show work. Note: ( x )2 is not equal to
either (x2 ) or to (2 x)
Review
anti-differentiation
methods ?

 

   
(b)(#27 Pg 394 cont'd)(2 pts) Show that e2
 
 
1
( x )2

x
dx   is equal to 8
3
 
Jason says don't
use a calculator