please see attached
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Find the average value of the function over the given interval.
f(x) = 6√x on [0, 4]
3. 0/1 points | Previous Answers BerrBCalc5 5.4.015.MI. My Notes |
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Find the average value of the function over the given interval.
f(x) = ex/7 on [0, 7]
4. –/1 points BerrBCalc5 5.4.005.MI. My Notes |
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Find the average value of the function over the given interval.
f(x) =
1
x2
on [4, 6]
5. –/1 points BerrBCalc5 5.4.011.MI. My Notes |
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Find the average value of the function over the given interval.
f(z) = 3z2 – 2z on [-3, 5]
6. –/1 points BerrBCalc5 5.4.029. My Notes |
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The temperature at time t hours is T(t) = –0.6t2 + 4t + 70 (for 0 ≤ t ≤ 12). Find the average temperature between time 0 and time 10.
7. –/1 points BerrBCalc5 5.4.031. My Notes |
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The amount of pollution in a lake x years after the closing of a chemical plant is P(x) = 100/x tons (for x ≥ 1). Find the average amount of pollution between 1 and 6 years after the closing. (Round your answer to one decimal place.)
tons
8. –/1 points BerrBCalc5 5.4.033. My Notes |
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A deposit of $5000 at 4% interest compounded continuously will grow to V(t) = 5000e0.04t dollars after t years. Find the average value during the first 20 years (that is, from time 0 to time 20). (Round your answer to the nearest cent.)
$
9. –/1 points BerrBCalc5 5.4.035. My Notes |
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Microsoft’s net income during the years 2003-2007 was approximately I(x) = –16×3 + 72×2 – 60x + 90 hundred million dollars, where x is the number of years since 2003. Find the average income from 2003 to 2007.†
$ hundred million
10. –/1 points BerrBCalc5 5.4.039.MI. My Notes |
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Find the area between the curves y = ex and y = e2x (shown below) from x = 0 to x = 1. (Leave the answer in its exact form.)
square units
11. –/2 points BerrBCalc5 5.4.043. My Notes |
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Consider the following.
y = 3×2 – 6
y = 2x + 2
(a) Sketch the parabola and the line on the same graph.
(b) Find the area between them from x = 0 to x = 3.
square units
12. –/1 points BerrBCalc5 5.4.045.MI. My Notes |
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Find the area bounded by the given curves.
y = x2 – 1 and y = 5 – 5×2
square units
13. –/1 points BerrBCalc5 5.4.049. My Notes |
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Find the area bounded by the given curves.
y = 6×2 – 12x and y = 0
square units
14. –/1 points BerrBCalc5 5.4.051.MI. My Notes |
Find the area bounded by the given curves.
y = 3×2 and y = 27
square units
15. –/1 points BerrBCalc5 5.4.055. My Notes |
Find the area bounded by the given curves.
y = 12×3 + 4 and y = 12x + 4
square units
16. –/1 points BerrBCalc5 5.4.061. My Notes |
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The birthrate in Africa has increased from 17e0.02t million births per year to 22e0.02t million births per year, where t is the number of years since 2000. Find the total increase in population that will result from this higher birth rate between 2000 (t = 0) and 2030 (t = 30).† (Round your answer to the nearest whole number.)
million
17. –/1 points BerrBCalc5 5.4.067. My Notes |
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A company’s marginal revenue function is MR(x) = 500x–1 and its marginal cost function is MC(x) = 300x–1 (both in thousands of dollars), where x is the number of units (x > 1). Find the total profit from x = 100 to x = 200. (Round your answer to the nearest whole number.)
$ thousand
