Find the kinetic energy of a proton whose wavelength is $1.00 \mathrm{~nm}$.

In each part, use the horizontal line test to determine whether the function $f$ is one-to-one.

$$f(x)=|x|$$

Determine whether the given function is a one-to-one function.

$$\{(-3,9),(5,25),(2,4),(3,9)\}$$

Several terms of a sequence $\left\{a_n\right\}_{n=1}^{\infty}$ are given.

$$\{1,3,9,27,81, \ldots\}$$

(a). Find the next two terms of the sequence. (b). Find a recurrence relation that generates the sequence (supply the initial value of the index and the first term of the sequence). $(c)$. Find an explicit formula for the general $n$th term of the sequence.

How would poisoning proton pumps impact anion uptake?

Find an expression for the general term of the series. Give the starting value of the index ($n$ or $k$, for example).

$$\frac{1}{2}x + \frac{1\cdot 3}{2^{2} \cdot 2!}x^{2} + \frac{1 \cdot 3 \cdot 5}{2^{3} \cdot 3!}x^{3} + \cdots$$

What symbols are used to represent the charges on atoms in a polar covalent bond? The polarity of the bond?

Several terms of a sequence

$$\left\{ a _ { n } \right\} _ { n = 1 } ^ { \infty }$$

are given. a. Find the next two terms of the sequence. b. Find a recurrence relation that generates the sequence (supply the initial value of the index and the first term of the sequence). c. Find an explicit formula for the nth term of the sequence. {1, -2, 3, -4, 5, ...}

Which of the following statements is false? A Bronsted-Lowry base is a proton acceptor.

A proton is projected into a magnetic field that is directed along the positive x axis. Find the direction of the magnetic force exerted on the proton for each of the following directions of the proton’s velocity: (a) the positive y direction, (b) the negative y direction, (c) the positive x direction.

Write a program that uses a two-dimensional array to store the highest and lowest temperatures for each month of the year. The program should output the average high, average low, and the highest and lowest temperatures for the year. Your program must consist of the following functions:

• Function getData: This function reads and stores data in the twodimensional array.
• Function averageHigh: This function calculates and returns the average high temperature for the year.
• Function averageLow: This function calculates and returns the average low temperature for the year.
• Function indexHighTemp: This function returns the index of the highest high temperature in the array.
• Function indexLowTemp: This function returns the index of the lowest low temperature in the array.

(These functions must all have the appropriate parameters.)

What do you expect for the $B-F$ bond length in boron trifluoride, $BF_3$, on the basis of covalent radii?

Several terms of a sequence $\left\{a_{n}\right\}_{n=1}^{\infty}$ are given. a. Find the next two terms of the sequence. b. Find a recurrence relation that generates the sequence (supply the initial value of the index and the first term of the sequence). c. Find an explicit formula for the nth term of the sequence. $\{-5,5,-5,5, \dots\}$

From 1991 to 1997, the producer price index for butter may be calculated as $P=-0.233 x4+2.64 x3-6.59 x2-3.93 x+69.1$, where $x$ is the number of years since 1991. Graph the function and look for any turning points on the interval $0 x 6$. What are the real-world implications of these points?