Prove that Z[ A] is a subring of C (Example 37.1)

Classical Mechanics 0
A particle moves in a circle (center O and radius R) with constant angular velocity \(\omega\) counter-clockwise. The circle lies in the xy plane and the particle is on the x axis at time t = 0. Show that the particle's position is given by \(\mathrm{r}(t)=\hat{\mathrm{x}} R

Chemistry 11
A piece of silver (Ag) metal weighing 194.3 g is placed in a graduated cylinder containing 242.0 mL of water. The volume of water now reads 260.5 mL. From these data calculate the density of silver.

Elementary Statistics: Picturing the World 6
Using Technology to Find Quartiles and Draw Graphs In Exercises 2528, use technology to (a) find the data sets first, second, and third quartiles, and (b) draw a box-and-whisker plot that represents the data set.. Hourly Earnings The hourly earnings (in dollars) of a sample of 25 railroad equipment m

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

Calculus: Early Transcendentals 9
Find a formula for the inverse of the function. \(f(x)=1-x^{2}, \quad x \geqslant 0\)

Biology
Suggest a reason why packets of proteins collected in a vacuole might merge with lysosomes.

Biology 2e by Openstax
Which of the following is a biotic factor? a. wind b. disease-causing microbe c. temperature d. soil particle size

Principles of Economics 9
Explain whether each of the following events increases or decreases the money supply. a. The Fed buys bonds in open-market operations. b. The Fed reduces the reserve requirement. c. The Fed increases the interest rate it pays on reserves. d. Citibank repays a loan it had previously taken from the Fed