Although the fear of witchcraft had been a part of European culture for centuries, what factors during the sixteenth and seventeenth centuries contributed to the intense hysteria and fear surrounding the practice of witchcraft?

Prove this statement. A quadrilateral is a rhombus if it has four congruent sides.

Determine whether the following sequence is geometric. If it is, write an explicit formula for its nth term.

4, 9, 16, 25, . . .

A small container of water is placed on a carousel inside a microwave oven, at a radius of $12.0 \mathrm{~cm}$ from the center. The turntable rotates steadily, turning through one revolution in each $7.25 \mathrm{~s}$. What angle does the water surface make with the horizontal?

Approximate to four decimal places, when appropriate.

$$\cos \pi$$

(a) Use the family of solutions $3x^2 - y^2 = c$ to find an implicit solution of the initial-value problem $y \: dy/dx = 3x, y(2) = -4$. Then, by hand, sketch the graph of the explicit solution of this problem and give its interval $I$ of definition. (b) Are there any explicit solutions of $y \: dy/dx = 3x$ that pass through the origin?

Answer these culture questions.

Why is tourism important in the Dominican Republic?

Let h = 0.1 and approximate the solutions to $y(x_1)$ and $y(x_2)$ by hand using (a) Euler's Method and (b) the fourth-order Runge-Kutta method. Then compare the results with the given explicit solution at $x_1$ and $x_2$. It will be easiest if you display the results as we did in the table. $y^{\prime}=-y^{2}, \ y(0)=1$, explicit solution: $y=\frac{1}{x+1}$

The fifth and ninth terms of an arithmetic sequence are 5 and - 3, respectively. Find the first term and an explicit rule for the nth term.

Match the suffix on the left to its meaning on the right.

Determine if the sequence is a geometric sequence. If it is, find the common ratio and write the explicit formula and recursive definition.

$$-3,-1,1,3, \ldots$$

You are working on the postoperative surgical unit and admitted S.B., a 42-year-old woman with a history of morbid obesity, hypertension, sleep apnea, and diabetes mellitus. She underwent a laparoscopic Rouxen-Y procedure. For the past year, she had tried to lose weight with diet and exercise, but the progress was minimal. Her preoperative weight was 298 pounds $(135 \mathrm{~kg})$, and she is $5 \mathrm{feet}, 5$ inches $(165 \mathrm{~cm})$ tall. What is BMI? Calculate S.B.'s BMI and specify the degree of obesity her BMI reflects.

Wheel 1 with radius 15 cm, turning with an angular velocity of 50 rad/s. It is connected by a belt to Wheel 2, with radius 3 cm. Wheel 3, with radius 25 cm, is connected to the same axle as Wheel 2.

Find the angular velocity of Wheel 2.

Describe the reflection in $g(x)$ as it relates to the graph of the parent function.

$$g(x)=-\frac{2}{3}|x|$$