Give a description of the Bill of Rights and an explanation of why it was needed.

Explain what is wrong with the statement. The solid obtained by rotating the region bounded by the curves y = 2x and y = 3x between x = 0 and x = 5 around the x-axis has volume $\int _ { 0 } ^ { 5 } \pi ( 3 x - 2 x ) ^ { 2 } d x.$

What are the periods of these functions?

$$y = \sin 2 \theta$$

$$\begin{array} { l } {\text {Find the slope and an equation of the tangent line } } \\ { \text {to the graph of the function f at the specified point. } } \end{array}$$

$$f ( x ) = \frac { 1 + 2 x ^ { 1 / 2 } } { 1 + x ^ { 3 / 2 } } ; \quad \left( 4 , \frac { 5 } { 9 } \right)$$

The number of people that enter a drugstore in a given hour is a Poisson random variable with parameter

$$\lambda = 10$$

. Compute the conditional probability that at most 3 men entered the drugstore, given that 10 women entered in that hour. What assumptions have you made?

State whether the given series converges and explain why.

$$\sum_{n=1}^{\infty} \frac{1}{n+1000}$$

Do research and write a report on the life and achievements of Augustus De Morgan. Indicate in your report his contributions to sets and logic.

Sketch a graph of $y=-3$ on $[1.5]$ and use geometry to find the exact value of $\int_{1}^{5}(-3) d x$

Simplify the expression. Assume that all variables are unrestricted and use absolute value symbols when necessary.

$$\sqrt [ 3 ] { \frac { x ^ { 9 } } { 125 } }$$

Fill in the blanks: (a) If f'' is positive on an interval, then f' is ________ on that interval, and f is ________ on that interval. (b) If f'' is negative on an interval, then f' is ________ on that interval, and f is ________ on that interval.

Of the following, the group that contains elements that are the most reactive is the a. alkali metals. b. alkaline earth metals. c. carbon family. d. noble gases.

One kilogram of water vapor at 200 kPa fills the 1.1989-m^3 left chamber of a partitioned system . The right chamber has twice the volume of the left and is initially evacuated. Determine the pressure of the water after the partition has been removed and enough heat has been transferred so that the temperature of the water is 3$^\circ{}$C.

A recipe for 6 servings of chili calls for 3 tablespoons of chili powder and 16 tablespoons of chopped onion. For 16 servings, the recipe calls for 6 tablespoons of chili powder. If the ratios of chili powder to chopped onion must be the same in both recipes, how many tablespoons of chopped onion should be in 16 servings of chili? Explain your reasoning.

As you read lines 1-29, begin to collect and cite text evidence. Underline details about the environment Elijah McCoy was born into and the different places where he lived. Circle two sources of power during the age of the machine, and in the margin, explain why McCoy was fortunate to be born into that era. In the margin, explain why McCoy could not get the kind of job he had been trained for.