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2 years ago

Zack brought two new jet skis for $15,480 how will make 38 equal payments how much will each payment be?

Mathematics

1 answer:

Free_Kalibri [48]2 years ago

8 0

15480/38=407.368 for each payment

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If y=(sec^-1x)^2, then show that x^2(x^2-1) d^2y/dx^2 + (2x^3 - x) dy/dx = 2

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Step-by-step explanation:

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2 years ago

Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab

Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

$SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx$

If $f(x)=x^2,$ then

$f'(x)=2x$

and

$b=0\\ \\a=2$

Therefore,

$SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx$

Apply substitution

$x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du$

Then

$SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du$

Now

$\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))$

Hence,

$SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}$

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2 years ago

When you roll a pair of dice, there are several outcomes, as shown below:

aivan3 [116]

Answer:

Step-by-step explanation:

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2 years ago

I will give brainliest if this is answerd in 10 min it is timed here it is:this is worth 100 pts

Jobisdone [24]

Answer:

customary system:

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ounces

metric system:

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centigram

Step-by-step explanation:

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2 years ago

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Find the sum. Write your answer in simplest form. 3/7 + 2/3

Delicious77 [7]

Answer:

1 2/21

Step-by-step explanation:

We start out with:

3/7 + 2/3

In order to add them together, they must have an equal denominator. An easy way to find an equal denominator is the cross method. We divide 7 by 3 and 3 by 7, giving us a denominator of 21:

3/21 + 2/21

But what about the numerators? You do the same thing as before (multiplying by the other's denominator). Now we have:

9/21 + 14/21

We add both together (the denominator stays the same) and we get 23. 23/21 is correct but not in simplest form. We remove 21 from the numerator (because it is a whole) and finally get:

1 2/21!

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

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2 years ago

Zack brought two new jet skis for $15,480 how will make 38 equal payments how much will each payment be?​

Zack brought two new jet skis for $15,480 how will make 38 equal payments how much will each payment be?