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For all problems, make sure to show ALL work, state ALL assumptions. include ALL reference points, and CIRCLE any answers requested (or the final if only one answer is requested).
1) A bicyclist is traveling at 25 km/hr when he encounters a 90 m hill. Neglecting road and wind resistance:
a) If the hill is going up, what vertical elevation could the cyclist achieve without pedaling?
b) If the hill is going down, what speed would the bicyclist achieve without pedaling?
2) One kilogram of steam is contained in a horizontal frictionless piston and the cylinder is heated at constant pressure of 1.013 bar from 125°C to such a temperature that the volume doubles. If the amount of heat that must be added to accomplish this change is 260 kJ, calculate the final temperature of the steam (assume ideal gas law for now), the work the steam does against its surroundings, and the internal energy changes for the process. Does your value seem too high or too low - if so, why?
Two Social Security numbers match zeros if a digit of one number is zero if the corresponding digit of the other is also zero. In other words, the zeros in the two numbers appear in exactly the same positions.
What are the practical uses of scientific notation? Why is scientific notation so important in modern-day society?
Suppose the acceleration of an object traveling in one-dimension is given by a(t) = -4 m/s2. Assuming the object was initially traveling at 150 m/s and s(0) = 0, find the velocity function v(t) and the position function s(t) for t ≥ 0.
How many companies closed down their pension plans in each of those three years?
Mary sells lemonade for $0.50 per cup. She buys her cups for $0.02 each, and it costs her $0.09 to make each cup of lemonade. Write an expression that represents the amount of money Mary will earn from selling n cups of lemonade?
the perimeter of a basketball court is 292 ft. The length is 40ft longer than the width. find the dimensions of the court.
What is the most expensive house Elwood
Graph the function and locate intervals on which the function is increasing or decreasing, open intervals on which the function is concave up or concave down, and all inflection points.
a boxs inside measurements are 30 cms 24 cms and 15 cms. how many cubes can fit in the box with an edge of 3 cms?a box
Find coefficients An and Bn such that this is satisfied.
Use logarithms and the law of tangents to solve the triangle ABC, given that a= 21.46 ft, b= 46.28 ft, and C = 32° 28' 30"
suppose that a body with temp. 85F is discovered at midnight, and that the ambient temp. is 70F. the body is removed quickly to the morgue where the ambient temp. is 40F. after 1 hour the body temp. is found to be 60F. estimate time of death.
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