(a) Define What were the Crusades?

(b) Analyze Cause and Effect What were the long-range effects of the Crusades?

(c) Draw Conclusions Do you think the Crusades were a failure or a success? Explain.

Which of the following sentences are equivalent to the statement. All circles are round. a. If it’s round, it’s a circle. b. Roundness is a necessary property of circles. c. Something that isn’t round can’t be a circle. d. Some round things are circles.

Find the Taylor series with the given point as center and its radius of convergence. 1/z, 2i

Write a paragraph describing the spread of Islam. Include information on the origin of Islam in the early A.D. 600s, monotheism, Islam in Medina, and the growth of the Muslim empire.

Find the percentage by mass of sodium $(\mathrm{Na})$ in $\mathrm{Na}_2 5$ if it is $41.1 \%$ sulfur (S) by mass.

What were the lasting effects of the Crusades? In what ways did they provide opportunities-both negative and positive-for cross-cultural encounters and exchanges?

The temperature of an ingot of silver is $60^{\circ} \mathrm{C}$ above room temperature right now. Twenty minutes ago, it was $70^{\circ} \mathrm{C}$ above room temperature. How far above room temperature will the silver be $2$ hours from now?

Circle in the yz-plane with center (4, 0) and passing through (0, 3). Sketch it.

On a separate sheet of paper, answer the questions below. Make sure you read carefully and answer all parts of the questions. Where do historians stand on how the Crusades affected European civilization? Explain the possible reasons why.

A bar of steel has the minimum properties $S_{e}=40 \mathrm{kpsi}, S_{y}=60 \mathrm{kpsi}, \text { and } S_{u t}=80 \mathrm{kpsi}$. The bar is subjected to a steady torsional stress of 15 kpsi and an alternating bending stress of 25 kpsi. Find the factor of safety guarding against a static failure, and either the factor of safety guarding against a fatigue failure or the expected life of the part. For the fatigue analysis use:a) Goodman criterion. b) Gerber criterion. c) Morrow criterion.

Find the measure of the reference angle for the given angle.

$$\theta = - 25 ^ { \circ }$$

Is the function continuous on the interval? $2 x + x ^ { - 1 }$ on [-1, 1]

What was the goal of the Crusades?

Marina wants to take out a $500,000 loan to purchase a new home. The bank offers a 25-year loan with an APR of 3.8%. If she purchases 1 point for 1% of the value of the loan, she will reduce her APR by 0.3%. What is her monthly savings with the point purchase?