Decide whether these statements using the vocabulary words are true or false.

Climbing a very steep ladder is an example of oscillation.

A plane is flying through the air at a speed of 500 kilometers per hour. At the same time, the air is moving 40 kilometers per hour with respect to the ground at an angle of $23^{\circ}$ with the plane's path. The plane's ground speed is the magnitude of the vector sum of the plane's air velocity and the wind velocity. Find the plane's ground speed if it is flying

With the wind

Write 0.125 as a fraction and as a percent.

Write 0.04 as a reduced fraction.

Which formula is not equivalent to the other two? $\sum_{k=-1}^{1} \frac{(-1)^{k}}{k+2}$

Consider the motion of the following objects. Assume the x-axis is horizontal, the positive y-axis is vertical, the ground is horizontal, and only the gravitational force acts on the object. Find the velocity and position vectors, for

$$t \geq 0$$

. A rock is thrown from the edge of a vertical cliff 40 m above the ground at an angle of

$$45 ^ { \circ }$$

above the horizontal with a speed of

$$10 \sqrt { 2 } \mathrm { m } / \mathrm { s }$$

. Assume the origin is at the foot of the cliff.

Volume of a Box A rectangular piece of metal is $5$ in. longer than it is wide. Squares with sides $2$ in. long are cut from the four corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is $64\ \text{in}^3$ ? A. $(x+1)(x-4)(2)=64$ B. $x(x+5)(2)=64$ C. $(x+1)(x-4)=64$ D. $x(x+5)=64$

¿Que puedes comprar en...? Completa las oraciones. (Complete the sentences with the words from the box.)

Complete the following statements with the best answer.
Find the area under the standard normal distribution for each.
To the right of $z=1.75$

Although most graphs have at most one horizontal asymptote, it is possible for a graph to have more than one. Which of the following functions have graphs with more than one horizontal asymptote?

$$h(x)=\dfrac{x}{\sqrt{x^2-4}}$$

Determine whether the following statements are true and give an explanation or counterexample.

If $\nabla \times \mathbf { F } = \mathbf { 0 }$, then F is constant.

Use laryng/o (larynx [voice box]) to build words that mean:

stricture or narrowing of the larynx ________

A particle in a box [0;L] is in the third excited state. What are its most probable positions?

Determine whether the following series converge.

$$\sum _ { k = 1 } ^ { \infty } \frac { ( - 1 ) ^ { k } } { \sqrt { k } }$$