Evaluate the following integrals using the Fundamental Theorem of Calculus. Sketch the graph of the integrand and shade the region whose net area you have found. $\int _ { - 2 } ^ { 3 } \left( x ^ { 2 } - x - 6 \right) d x$

In what ways would the doctrine of nullification have made it difficult for the federal government to operate?

Write the number in standard form. 4. 1.6 x 10ˉ²

What do the curved concentric lines on weather forecast maps show? A. The lines show the direction in which the wind will blow B. The lines show where rain will fall C. The lines connect points of equal temperature D. The lines connect points of equal air pressure.

Find the slope of the storage shed's roof.

How is the central tendency used to evaluate data?

The next number in the series 13, 18, 16, 21, 19,

Describe a rule for each pattern. 35, 70, 105, 140,...

Find

$$g ^ { \prime } ( x )$$

using Part 2 of the Fundamental Theorem of Calculus, and check your answer by evaluating the integral and then differentiating.

$$g ( x ) = \int _ { 1 } ^ { x } \left( t ^ { 2 } - t \right) d t$$

Which poem more effectively tells a story? Which poem is more successful at creating a mood? Support your answers with evidence.

Solve each formula for the specified variable.

$$v t + g t ^ { 2 } = s \text { for } g$$

Solve each inequality algebraically.

$$x^2-9x<-20$$

Identify and explain: Frederick W. Taylor, Henry Ford, Model T, Alfred P. Sloan

An electric utility charges residential customers a $\$6$ monthly fee plus $\$0.04$ per kilowatt hour (kWh) for the first 500 kWh and $\$0.08$/kWh for usage over 500 kWh. Write a piecewise function $f(x)$ that can be used to determine a customer’s monthly bill for using x kWh of electricity. Graph the piecewise function. A customer uses 613 kWh of electricity in one month. How much should the utility charge the customer? Explain how you determined your answer