How did the Crusades affect European economies?

Solve the following equations. $2 ^ { x } = 55$

Why did Western Europeans go on Crusades?

What was an important result of the Crusades

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. What issues led to the Crusades?

b.* What long-term importance did the Crusades have for Europe?

(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.

How did the Crusades change the history of Europe? Give reasons for your answer.

What were the effects of the Crusades?

What were the effects of the Crusades?

Find the solution of the finite difference equation

$$r_n=3r_{n-1}+5r_{n-2}-15r_{n-3}-4r_{n-4}+12r_{n-5}$$

with initial conditions $r_0=5$, $r_1=1$, $r_2=3$, and $r_4=3.$

Water flows in a horizontal, rectangular channel with an initial depth of 2 ft and an initial velocity of 12 ft/s. Determine the depth downstream if losses are negligible. Note that there may be more than one solution. Repeat the problem if the initial depth remains the same, but the initial velocity is 6 ft/s.

Find the lines that are normal to the curve at the given point. 6x² + 3xy + 2y² + 17y - 6 = 0, (-1, 0)

What do Islam, Judaism, and Christianity have in common ?