All categories

3 years ago

What is the amplitude and period of f(t)=2.5tan(t)

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

6 0

Answer:

Step-by-step explanation:

Tan graphs are a bit different to sin and cos graphs: they don't have an amplitude.

If you look at a tan graph, it exists between assymptotes and has no maximum or minimum value. In this case, the 2.5 acts similar to a dilation factor and makes the graph skinnier or wider.

You were right about the period: it is just pi, not 2 pi like sin and cos. Again, if you look at the graph, the assymptotes occur every period, which is only pi.

Hope that helped : )

You might be interested in

Below are the data collected from to random samples of 100 members of a large travel club regarding the type of vacation they pr

deff fn [24]

More members prefer a beach vacation and a ski vacation than a cruise vacation

6 0

2 years ago

How to solve the area of a triangle

drek231 [11]

<h2>The area A of a triangle is given by the formula A=1/2*b*h where b is the base and h is the height of the triangle.</h2>

Step-by-step explanation:

<h2>The photo which is in the attachment is an example for your question. </h2>

<h2>hope this answer helps you!!</h2>

7 0

2 years ago

You want to have $200,000 when you retire in 25 years. If you can earn 3% interest rate compounded continuously, how much would

mash [69]

9514 1404 393

Answer:

$94,473.31

Step-by-step explanation:

The multiplier in 25 years is ...

e^(rt) = e^(0.03·25) = e^0.75 ≈ 2.117

To have an account value of $200,000 in 25 years, you need to deposit now ...

$200,000/2.117 = $94,473.31

_____

When this amount is multiplied by 2.117, the result is 200,000.

5 0

2 years ago

What is the distance between (1,-5) and (-3,6)

spin [16.1K]

Answer:

$\large\boxed{\sqrt{137}}$

Step-by-step explanation:

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have the points (1, -5) and (-3, 6). Substitute:

$d=\sqrt{(6-(-5))^2+(-3-1)^2}=\sqrt{11^2+(-4)^2}=\sqrt{121+16}=\sqrt{137}$

6 0

2 years ago

What is the compound interest if $410 is invested for 13 years at 8% compounded continuously?

neonofarm [45]

Compounded contiously
$A=Pe^{rt}$
A=future amount
P=present amount
r=rate in decimal
t=time in years

to find the interest, we do A-P
find A first

given
P=410
t=13
r=0.08

$A=410e^{13*0.08}$
$A=410e^{1.04}$
aprox
A=1159.97897
A-P=1159.97897-410=749.9789
the interest is $749.98

3 0

2 years ago