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2 years ago

Question is in the pictures.

Mathematics

1 answer:

Kipish [7]2 years ago

6 0

<h3>Answer:</h3>

x/tan(x) is an even function

sec(x)/x is an odd function

<h3>Explanation:</h3>

<em>x/tan(x)</em>

For f(x) = x/tan(x), consider f(-x).

... f(-x) = -x/tan(-x)

Now, we know that tan(x) is an odd function, so tan(-x) = -tan(x). Using this, we have ...

... f(-x) = -x/(-tan(x)) = x/tan(x) = f(x)

The relation f(-x) = f(x) is characteristic of an even function, one that is symmetrical about the y-axis.

_____

<em>sec(x)/x</em>

For g(x) = sec(x)/x, consider g(-x).

... g(-x) = sec(-x)/(-x)

Now, we know that sec(x) is an even function, so sec(-x) = sec(x). Using this, we have ...

... g(-x) = sec(x)/(-x) = -sec(x)/x = -g(x)

The relation g(-x) = -g(x) is characeristic of an odd function, one that is symmetrical about the origin.

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What is the surface area of the prism in square feet?

frutty [35]

The surface area of the rectangular prism is 52 square feet ( $ft^{2}$ ), if the height is 4 feet, width is 3 feet and depth is 2 feet.

Step-by-step explanation:

The given is,

A rectangular prism of

Let, h - height of the rectangular prism

w - Width of the rectangular prism

d - Depth of the rectangular prism

Step:1

From given,

h = 4 feet

w = 3 feet

d = 2 feet

Step:2

Formula to calculate the surface area of the rectangular prism is,

$A = 2 (wd+hd+hw)$

Substitute the values of w,d and h

= 2 [(3×2) + (4×2) + (4×3)]

= 2 (6+8+12)

= 2 × 26

= 52

A = 52 Square feet

Result:

Thus the surface area of the rectangular prism is 52 square feet ( $ft^{2}$ ), if the height is 4 feet, width is 3 feet and depth is 2 feet.

3 0

3 years ago

If the money and interest are left in the bank how much is the total accumulated savings at the end of the second year for a sav

Mekhanik [1.2K]

$\qquad \textit{Compound Interest Earned Amount}\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad 
\begin{cases}
A=\textit{current amount}\\
P=\textit{original amount deposited}\to &\$3,500\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=\textit{times it compounds per year}\to &1\\
t=years\to &2
\end{cases}
\\ \quad \\
A=3500\left(1+\frac{0.08}{1}\right)^{1\cdot 2}\implies 3500(1.08^2)$

6 0

3 years ago

Find the slope of the following graph and Identify the type of<br> Slope:

Masteriza [31]

Answer:

undefined

Step-by-step explanation:

Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."

3 0

2 years ago

Input the equation of the given line in standard form.

noname [10]

Answer:

y = 2/3x + 1/3

Step-by-step explanation:

Standard form of a line looks like y=mx+b. We already know that m is 2/3, but we don't know b. b is our y-int. With the given information, we can write this equation is point-slope form. That looks like y - y1 = m(x-x1). (x1, y1) = (1, 1) - the point given to us. So if you plug in that point to the equation, and the slope - m, it'll look like y - 1 = 2/3 (x - 1).

From here, you can just solve for y, and it'll be in standard form. I would distribute 2/3 first.

y - 1 = 2/3x - 2/3

Then, add 1 to both sides.

y = 2/3x + 1/3

4 0

3 years ago

Is there any way to post images on your questions?

AysviL [449]

yeah there is u should be able to by clicking on the paper clip

7 0

3 years ago