SOLUTION: Find the instantaneous rate of change for f(x) = x2 + 3x - 11 at x = 2. A company that makes wooden toys has determined that the cost of producing toys is given by the function

Question 61640: Find the instantaneous rate of change for f(x) = x2 + 3x - 11 at x = 2.
A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.02x2 + 1589. Find the total change in cost for increasing production from x = 233 units to x = 338 units.
A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.06x2 + 1187. Find the average rate of change in cost for increasing production from x = 204 units to x = 329 units. (2 decimal places)
find the slope of the tangent line to f(x) = -4x2 when x = 200.
A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.02x2 + 1921. Find the rate at which costs are changing when production reaches x = 244 units. (2 decimal places)
find the slope of the tangent line to f(x) = 5 - 3x2 when x = 5.
Voter turnout in the preceding 10 years can be modeled by the function N(t) = 1336 + 8t - t2 where N is the number of voters and t is measured in years. According to this model, how many people voted in year 332 of this study?
find the slope of the tangent line to f(x) = 7 - 5x - 2x2 when x = 1.
Find the average rate of change for f(x) = 3x2 + 4x from x = 0 to x = 5.
Voter turnout in the preceding 10 years can be modeled by the function N(t) = 1344 + 10t - t2 where N is the number of voters and t is measured in years. What was the rate of change in the number of voters for year 336?
Find the average rate of change for f(x) = 2x - x3 from x = 2 to x = 5. (2 decimal places)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Probability-and-statistics/61640 (2006-11-15 21:26:21): Find the instantaneous rate of change for f(x) = x2 + 3x - 11 at x = 2.
A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.02x2 + 1589. Find the total change in cost for increasing production from x = 233 units to x = 338 units.
A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.06x2 + 1187. Find the average rate of change in cost for increasing production from x = 204 units to x = 329 units. (2 decimal places)
find the slope of the tangent line to f(x) = -4x2 when x = 200.
A company that makes wooden toys has determined that the cost of producing toys is given by the function C(x) = 0.02x^2 + 1921. Find the rate at which costs are changing when production reaches x = 244 units. (2 decimal places)
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C'(x)=0.04x
c'(244)=0.04*244=9.76
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find the slope of the tangent line to f(x) = 5 - 3x^2 when x = 5.
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f'(x)=-6x
f'(5)=-6*5=-30
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Voter turnout in the preceding 10 years can be modeled by the function N(t) = 1336 + 8t - t^2 where N is the number of voters and t is measured in years. According to this model, how many people voted in year 332 of this study?
Find N(332).
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find the slope of the tangent line to f(x) = 7 - 5x - 2x^2 when x = 1.
f'(x)=-5-4x
f'(1)= -5-4=-9
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Find the average rate of change for f(x) = 3x^2 + 4x from x = 0 to x = 5.
Average rate of change = [f(0)-f(5)]/[0-5]=[0-(95)]/-5=19
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Voter turnout in the preceding 10 years can be modeled by the function N(t) = 1344 + 10t - t^2 where N is the number of voters and t is measured in years. What was the rate of change in the number of voters for year 336?
N'(t)=10-2t
N'(336)=10-672=-662
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Find the average rate of change for f(x) = 2x - x^3 from x = 2 to x = 5. (2 decimal places)
ave rate of change = [f(2)-f(5)]/(2-5)= [-4--115]/-3 = -111/3
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Cheers,
Stan H.

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