Prove Theorem 1.1-6.

Introductory Chemistry 5
A backpacker wants to carry enough fuel to heat 2.5 kg of water from \(25\ ^{\circ}\mathrm{C}\) to \(100.0\ ^{\circ}\mathrm{C}\). If the fuel she carries produces 36 kJ of heat per gram when it burns, how much fuel should she carry? (For the sake of simplicity, assume that the transfer of heat is 100

Physics 4
Consider the circuit shown in Figure 2146, in which three lights, each with a resistance R, are connected in parallel. The circuit also contains an open switch. (a) When the switch is closed, does the intensity of light 3 increase, decrease, or stay the same? Explain. (b) Do the intensities of lights

Anatomy & Physiology 1
The characteristic that gives an element its distinctive properties is its number of ________. a. protons b. neutrons c. electrons d. atoms

Biology: The Dynamics of Life 1
Compare and give several examples of biotic and abiotic factors in a forest ecosystem.

Biology: The Dynamics of Life 1
Make a list of the characteristics that archaebacteria and eubacteria share. Then make a list of their differences.

Principles of Economics 6
Consider the following cost information for a pizzeria: Quantity Total Cost Variable Cost 0 dozen pizzas $300 $ 0 1 350 50 2 390 90 3 420 120 4 450 150 5 490 190 6 540 240 a. What is the pizzerias fixed cost? b. Construct a table in which you calculate the marginal cost per dozen pizzas using the inf

The Practice of Statistics 5
Bottling cola A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters (ml). In fact, the contents vary according to a Normal distribution with mean \(\mu=298\) ml and standard deviation \(\sigma=3\) ml. (a) What is the proba

Plant Systematics 3
What is the difference between determinate and indeterminate inflorescence development?