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2 years ago

You don’t have to do the graph if u don’t want to

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

6 0

Answer:

x>5

Step-by-step explanation:

30 < 6x

Divide both sides by 6,

5 < x => x>5

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Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len

Rama09 [41]

The length of a curve C parameterized by a vector function r(t) = x(t) i + y(t) j over an interval a ≤ t ≤ b is

$\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt$

In this case, we have

x(t) = exp(t ) + exp(-t ) ==> dx/dt = exp(t ) - exp(-t )

y(t) = 5 - 2t ==> dy/dt = -2

and [a, b] = [0, 2]. The length of the curve is then

$\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt$

$=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt$

$=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt$

$=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt$

$=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}$

5 0

2 years ago

What is the domain of the relation? {x| x = –4 , 0, 1, 2}. {x| x = –7, –6, 2, 11, 3}. {y| y = –4, 0, 1, 2}. {y| y = –7, –6, 2, 1

sukhopar [10]

Answer:

The correct answer B on ED

Step-by-step explanation:

5 0

2 years ago

Type the correct answer in each box. Use numerals instead of words.

Alex_Xolod [135]

Answer:

Step-by-step explanation:

Given that prices for a pair of shoes lie in the interval

[80,180] dollars.

Delivery fee 20% of price.

i.e. delivery fee will be in the interval [4, 9]

(1/20th of price)

Total cost= price of shoedelivery cost

Hence f(c) = c+c/20 = 21c/20

The domain of this function would be c lying between 80 to 180

So domain =[80,180]

---------------------------------

Amount to be repaid = 42 dollars

Once he received this amount, the price would be

105+42 =147

But since price range is only [21*80/20, 21*180/20]

=[84, 189]

Since now Albert has 147 dollars, he can afford is

[80,147]

6 0

3 years ago

Read 2 more answers

1. The producer of the news station posted an article about the high school’s football championship ceremony on a new website. T

Alex

Answer:

hours / views

1. / 125

2. / 250

3. / 375

4. / 500

5. / 625

f(x)= 125 x views=125.hours

The slope of the function equals the visits of each hour.

3. (1;125) (2;250) (3;375) (4;500) (5;625)

4. "views as a function of hours"

5. in 12 hours the website will have f(12)=125 . 12 = 1500 views.

we can see in the plot that the line gets to that number for 8

4 0

3 years ago

I start with 8 grapes in my yard. The grapes triple every week. In how many weeks will there be 320 grapes in my yard (rounded t

REY [17]

U think it’s 40 cuz 8 x40 equal 320 ;-; if it’s wrong my name will come to use

4 0

3 years ago