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3 years ago

11

Which phrase best describes f(x), graphed on the coordinate plane below?

1 answer:

Helen [10]3 years ago

3 0

Answer: f(x) is an odd function

Step-by-step explanation: The major characteristic of odd functions is that one end of the graph goes down to negative infinity, the other end goes up to positive infinity.

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x

V125BC [204]

Answer with explanation:

The equation of two curves are

y=8 sin x

y=8 cos x

The point of intersection of two curves are

→8 sin x=8 cos x

sinx = cos x

$x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}$

When you will look between points , 0 and $x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}$ ,the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to $\frac{\pi}{4}$ .

Required volume of solid obtained

$=\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}$

=8-4√2 cubic units

5 0

3 years ago

How the hell did I get a notification that I answered a question i didn't create???

igomit [66]

Answer:

i dont know same thing

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

You gave the server at a restaurant a 22% tip and ended up paying $41.48. What was the price of your meal before you applied the

const2013 [10]

Answer: The price of meal before the tip = $34.

Step-by-step explanation:

Given : The percentage of tip = 22% = 0.22 ( we divide a percentage by 100 to convert it into decimal)

Total amount paid ( including tip) = $41.48

Formula for Total bill = Price of meal + Tip amount , where Tip amount= 22% of Price of meal.

Let x be the price of meal, then

Total bill =x + 0.22 x (x )

⇒ $41.48= x(1+0.22) [ By distributive property]

⇒ $41.48 = x (1.22)

⇒ x= ($41.48) ÷ 1.22

⇒ x= 34

Hence, the price of your meal before you applied the tip = $34.

7 0

3 years ago

tyrone opens an account at the local bank by depositing $50 of his birthday money. He continues to deposit $50 each month for 5

Pavel [41]

<u>Answer-</u>

<em>The amount will be </em><em>$8944.62</em><em> after 5 years.</em>

<u>Solution-</u>

We know that,

$\text{FV of annuity}=P[\dfrac{(1+r)^n-1}{r}]$

Where,

P = Payment = $50 monthly

r = rate of interest compounded monthly= $3\frac{1}{4}=3.25\%=0.0325$

n = number of period = 5 years = 5×12 = 60 months

Putting the values in the formula,

$\text{FV of annuity}=50[\dfrac{(1+0.0325)^{60}-1}{0.0325}]$

$=50[\dfrac{(1.0325)^{60}-1}{0.0325}]$

$=50[\dfrac{6.8140-1}{0.0325}]$

$=50[\dfrac{5.8140}{0.0325}]$

$=50\times 178.8923$

$=8944.62$

Therefore, the amount will be $8944.62 after 5 years.

5 0

3 years ago

PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!

Crank

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

3 0

3 years ago