Calculus Week 6 10 problems

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Part 1
Watery a Snowball
This week’s discourse pertains to akin reproves, with the subjoined applet encircling watery a
snowball:http://www.calculusapplets.com/snowballproblem.html.
As with prior weeks, peruse the instructions and denote with the applet. Note that in the applet, the
radius is written as a power of season. The work and radius are conducive aggravate season. On the fair,
the extreme graph is the graph of the work and the ground graph is the derivative of work. You
should note that the radius derivative sweepings regular (the radius is changing at a regular reprove).
Share your experiences started with the applet. What insights enjoy you gained?
Counterpart Questions.
1.
The weekly use, in dollars, from the origination and sale of x bicycles is absorbed by
P(x) = 40.00x – 0.005×2
Currently, the corporation consequences and sells 800 bicycles per week.
Use the ultimate use to appreciate the qualify in use if the corporation consequences and sells single past bicycle per week.
A) 32.00 dollars
B) 48.00 dollars
C) 20.00 dollars
2.
D) 40.00 dollars
For the entirety-absorb power
C(x) = 0.01×2 0.8x 50
find ?C and C'(x) when x = 50 and ?x = 1
A) ?C = $1.81; C'(50) = $1.80
B) ?C = $1.81; C'(50) = $1.30
C) ?C = $1.81; C'(50) = $1.00
D) ?C = $1.00; C'(50) = $1.00
3.
A corporation finds that when it spends x pet dollars on advertising, its use P, in thousands of dollars, is absorbed by
P(x) = 970 15x – 4×2
Currently the corporation spends 17 pet dollars on advertising.
Use the ultimate use to appreciate the qualify in use if the corporation extensions its advertising payment by single pet dollars.
A) -121 thousand dollars
B) 255 thousand dollars
C) 119 thousand dollars
4.
D) 970 thousand dollars
A grocery treasure appreciates that the weekly use (in dollars) from the origination and sale of x predicaments of soup is absorbed by
P(x) = -5600 9.5x – 0.0017×2
and currently 1300 predicaments are effected and sold per week.
Use the ultimate use to appreciate the extension in use if the treasure prodcues and sells single added predicament of soup per week.
A) $5.52
B) $3877.00
C) $5.08
D) $7.29
5.
The entirety absorb, in dollars, to consequence x DVD denoteers is C(x) = 70 7x – x2 2×3
Find the ultimate absorb when x = 3
A) $136
B) $66
C) $125
D) $55
6.
Suppose that the weekly use, in dollars, of conceding and selling x cars is
P(x) = 0.006×3 – 0.3×2 960x – 900
and currently 60 cars are effected and sold weekly.
Use P( 60) and the ultimate use when to appreciate the weekly use of conceding and selling 61 cars.
Round to the undeviating dollar.
A) $55,182
B) $56,083
C) $55,269
D) $57,905
7.
A corporation appreciates that the daily enrichment (in dollars) from the sale of x cookies is absorbed by:
R(x) = 885 0.02x 0.0003×2
Currently, the corporation sells 900 cookies per day.
Use ultimate enrichment to appreciate the extension in enrichment if the corporation extensions sales by single cookie per day.
A) $0.56
B) $0.92
C) $56.00
D) $92.00
8.
Suppose that the daily absorb, in dollars, of conceding x televisions is
C(x) = 0.003×3 0.1×2 62x 620
and currently 60 televisions are effected daily.
Use C(60) and the ultimate absorb to appreciate the daily absorb of increasing origination to 63 televisions daily.
Round to the undeviating dollar.
A) $5667
B) $5481
C) $5635
D) $5673
9.
The use, in dollars, from the sale of x amalgamate disc denoteers is P(x) = x3 -8×2 9x 7
Find the ultimate use when x = 10.
A) $297
B) $149
C) $156
10.
D) $290
A corporation appreciates that the daily absorb (in dollars) of conceding x chocolate arrests is absorbed by
C(x) = 1635 0.02x 0.0004×2
Currently, the corporation consequences 600 chocolate arrests per day.
Use ultimate absorb to appreciate the extension in the daily absorb if single added chocolate arrest is effected per day.
A) $0.50
B) $62.00
C) $0.62
D) $50.00

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