Category: Mathematics

lab

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lab. lab.

  1. Find the length of the curve for.  Hint: Use  and
  2. Show that the arc length is independent of the functions below that parameterize the curve. Compute the length of the semicircle   of radius 1 and center at (0,0) by using the two different parametric equations of the circle given below and show that the arc length is the same.   This argument suggests that ark length is independent of parameterization; though, it is not a proof of it as we would need to show that this holds for all parameterizations.
  3. where
  4. where
  5. Find the length of the Arc of St. Louis, if the equation used in construction the arc is  where
  6. Find the center of mass of the trapezoid with constant density 1 and with vertices at (0, 0), (c, 0), (c, b), and (0, a) where a, b, and c are constants. Draw the trapezoid on the plane provided and show it is the intersection of the line connecting the midpoint of the parallel sides and the line connecting the extended parallel sides.
  7. Find the center of mass of the region bounded by the graphs of and .  Assume the density is constant and is equals to 1.  Make a sketch of the region and identify its center of mass.
  8. An ornamental light bulb is designed by revolving the graph of about the x-axis where x and y are measured in feet.  Find S, the surface area of the bulb.
  9. Find the surface area generated by revolving the curve f: [1,5] where   around the x-axis.
  10. Use the theorem of Pappus to find the volume generated by revolving about the line the triangular region bounded by the coordinate axis and the line.
  11. Curves represented by the graphs of the equation    are called astroids because of their shapes which look like stars.
    1. Show that the graph represented by this equation is symmetric with respect to the y-axis as well as with respect to the x-axis.
    2. Find the length of the astroid. Hint : Find the length of half of the first quadrant portion  using   the function      ;      x    and then multiply by 2 and use a)
    3. Find the area of the surface generated by revolving the portion of the astroid represented by the graph above the x-axis. Hint: Revolve the graph in the first quadrant about the x-axis and double it.
  12. Gabriel’s horn:
  13. Compute volume obtained by revolvingaround x-axis for
  14. Compute surface obtained by revolvingaround x-axis forP(5.u)

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lab

lab

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Quantitative Reasoning

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Quantitative Reasoning. Quantitative Reasoning. INSTRUCTIONS NOT FOLLOWED: Instructor said my paper does not meet the requirements of the assignment for question 14 Which include the following questions 1-6 There is also a rubric for the grading. For question 14 we can choose from INMATE (IN PRISON, JAIL ETC…) IMPACTS ON DEPENDENCY RATIO’S PROJECT Some other ideas are immigration impacts, future projections, and things that might have a huge impact on dependencies to name a few. Or we can compare 2 countries and why the age dependency is different? It’s due Friday by midnight? If I have to pay extra I can? But questions 1-13 were perfect.

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Quantitative Reasoning

Quantitative Reasoning

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quadratic functions

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quadratic functions. quadratic functions. please follow instructions on the papers and upload me graphs from desmo.com
if you have any questions please email me on nsslhm1966@gmail.com
put all these pages into a booklet thing (like have a title page then the work after it)

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quadratic functions

quadratic functions

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Interactions of Hazardous Materials

Posted on | by Kamau Feb 2017 | Leave a Comment on Interactions of Hazardous Materials

Interactions of Hazardous Materials. Interactions of Hazardous Materials.

  1. You are the project manager of an environmental company that was hired to cleanup a historical arsenic contamination site. Soil sampling results indicated the area impacted with arsenic above action levels is 30 feet by 55 feet. The depth of the arsenic plume is three feet below ground surface. The land owner wanted to clean this site for future development. Answer the questions below to help you prepare a cost estimate for this portion of the project. Your solutions and any assumptions to justify your estimate must be shown.
    1. What is the chemical symbol of arsenic, and what group/family does it belong to?
    2. Solve for the minimum volume of soil that will be excavated in cubic yards?
    3. If each dump truck can transport 18 cubic yards, determine how many dump trucks loads will be transported? For calculation purposes, add a 15% “fluff factor” (add to the volume that will be transported).
    4. If the bulk density of soil is 1350 kg/m3 (84.3 lb/ft3), solve for the weight of the soil that will be transported to a disposal site in kilograms?

Your total response to parts a-d must be at least 200 words in length.

BOS 3640 Interactions of Hazardous Materials

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Interactions of Hazardous Materials

Interactions of Hazardous Materials

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Hypotheses of the Mean Value Theorem

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Hypotheses of the Mean Value Theorem. Hypotheses of the Mean Value Theorem. Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e^(−3x), [0, 3]

If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).

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Hypotheses of the Mean Value Theorem

Hypotheses of the Mean Value Theorem

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Area of trapezoid

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Area of trapezoid. Area of trapezoid.

Question
a. Write the formula for the area AA  of a trapezoid. Use b1b1 and b2b2 for the lengths of the bases, and use hh for the height.
2 incorrect answers: \left(h\right)a+bh2, a+b h2.

A=A=  

b. Solve the formula for hh .

h=h=  a+b h2

c. Use the new formula to find the height hh  of the trapezoid.

The height of the trapezoid is centimeters

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Area of trapezoid

Area of trapezoid

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A random or accidental error

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A random or accidental error. A random or accidental error. A random or accidental error of +/-0.007 ft is estimated for each of the 24 length measurements. These measurements are to be added together to obtain the total length.

Solution

  1. What is the estimated total error?(Ans:+/-0.034 ft)-
  2. What is the estimated total error if the random error is estimated to be +/-0.004 ft per length? (Ans:+/-0.020ft)

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A random or accidental error

A random or accidental error

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The distribution of the weights

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The distribution of the weights. The distribution of the weights. The distribution of the weights of a sample of 1,600 cargo containers is symmetric and bellshaped.

a.

According to the Empirical Rule, what percent of the weights will lie between and  ? 

  

  Percent of the weights %  

 

b. According to the Empirical Rule, what percent of the weights will lie between and ? (Round your answer to 2 decimal places.)

 

  Percent of the weights %  

 

c. Below  ? (Round your answer to 2 decimal places.)

 

  Percent of the weights %  

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The distribution of the weights

The distribution of the weights

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Solving the Horizontal Distance

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Solving the Horizontal Distance. Solving the Horizontal Distance. The slope distances shown were measured with an EDM while the differences in elevation between the ends of each line were determined by leveling. What are the horizontal distances?

Slope Distance (ft)      Elevation difference (ft)

A.    734.78             -26.54                                      (Ans: 734.30 ft)

B.     1382.81           -21.68                                      (Ans: 1382.64 ft)

C.    

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972.11             +15.32                                     (Ans: 971.99 ft)

Solving the Horizontal Distance

Solving the Horizontal Distance

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pre-calculus

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pre-calculus. pre-calculus. The following table gives the number calories an individual burns per minute in terms of his/her body weight. This information is given for three activities: walking, biking, and swimming.

 

Activity 120 pounds 150 pounds 170 pounds 200 pounds
Walking 3.1 4.2 4.8 5.7
Running 6.4 8.3 9.4 10.6
Swimming 7.0 8.8 10.0 11.5
  1. Susie weights 120 pounds. How many calories will she burn if she runs for 1 hour?
  2. Mike weighs 170 pounds. He is planning to swim for 45 minutes. What is the change in the number of calories he burns as he swims for the last 15 minutes?
  3. How many more calories does this person burn?

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pre-calculus

pre-calculus

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