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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?
Material for the sides costs 5 dollars per square meter. Find the cost of materials for the cheapest such container.
sue ellen had a 10 coupon for a meal at her favorite restaurant. the waiter deducted 10 from her bill before adding a
Caitlyn is a landscaper who is creating a triangular planting garden. The homeowner, Lisa, wants the garden to have two equal sides and contain an angle of 120°. Also, Lisa wants the longest side of the garden to be exactly 6 m.
1. answer the following questions for the function fx 2x44a determine all relative extrema of fxb determine the
question if a person breathes in and out every 3 seconds the volume of air in his lungs can be modeled by a
A plane can fly 390 mph in still air. If it can fly 220 miles downwind in the same amount of time it can fly 170 miles upwind, find the velocity of the wind.
question how many gallons of water will a rectangular tank hold if the base is a square that is 8 feet 10 inches on one
What does it mean to refer to a 20-in TV set? Such unitsrefer to the diagonal of the screen. A 25-in TV also has a width of 20 inches. What is the height of a 20-in TV?
A line passes through the point (6, -6) and has a slope of -3. Write an equation for this line in (x, y) coordinates. Write equations for the vertical and the horizontal lines passing through the point (6, 1) in (x,y) coordinates.
In word format - Calculate the mean, median, and mode for the following populations of number.
A mirror in the shape of a paraboloid of revolution. If a light source is located 1 foot from the base along the axis of symmetry and the opening is 2 feet across, how deep should the mirror be?
mr. jones wants to study voting patterns. he calculated that on average 60 of adults vote. he obtained a random sample
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