Prove Theorem 4.5.Reference

Physics: Principles with Applications 6
Compare the acceleration of a motorcycle that accelerates from 80 km/h to 90 km/h with the acceleration of a bicycle that accelerates from rest to 10 km/h in the same time.

Statistics for Engineers and Scientists 4
The following table presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds. a. Construct a scatterplot of strength (y) versus diameter (x). Verify that a linear model is appropriate. b. Compute the least-squares line for predicting strength from diameter. c.

Microbiology: An Introduction 11
Which of the following is an example of bioremediation? a. application of oil-degrading bacteria to an oil spill b. application of bacteria to a crop to prevent frost damage c. fixation of gaseous nitrogen into usable nitrogen d. production by bacteria of a human protein such as interferon e. all of

Physics 4
What are the direction and magnitude of your total displacement if you have traveled due west with a speed of 27 m/s for 125 s, then due south at 14 m/s for 66 s?

Campbell Biology 9
Most cells cannot harness heat to perform work because a. heat is not a form of energy. b. cells do not have much heat; they are relatively cool. c. temperature is usually uniform throughout a cell. d. heat can never be used to do work. e. heat must remain constant during work

Principles of Anatomy and Physiology 15
How does cholesterol affect membrane fluidity?

Urban Economics 8
Suppose dwelling quality is measured on a scale of 1 to 10, and the monthly cost of producing a particular quality equals the square of the quality level: For quality level 1, the cost is $1; for quality level 2, the cost is $4, and so on. The monthly rent equals the price per unit of quality (P= $9)

Chemistry 13
A 2.0-L kettle contains 116 g of boiler scale \(\left(\mathrm{CaCO}_{3}\right)\). How many times would the kettle have to be completely filled with distilled water to remove all of the deposit?