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2 years ago

If f(x) = 3x3 + 5x2 + x - 1, what would be the P/Q list of possible rational roots?

Mathematics

1 answer:

aivan3 [116]2 years ago

4 0

Answer:

1,-1,3,-3

Step-by-step explanation:

your P is the first number or the number with the highest exponent, your Q is the last number or the number with no variables. So you make a list of what multiplies to your P's and what multiplies to your Q's and you divide your P list by Q. So 3 is made by -1,1,-3,3 and -1 is made by -1,1. So dividing that you get your list of -3,-1,1,3

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Integrate G(x,y,z)equalsz over the parabolic cylinder yequalszsquared, 0less than or equalsxless than or equals2, 0less than

yKpoI14uk [10]

I gather you're supposed to compute the integral of $G(x,y,z)=z$ over a surface $S$ that is the part of the parabolic cylinder $y=z^2$ with $0\le x\le2$ and $0\le z\le\frac{\sqrt{15}}2$ .

We can parameterize $S$ by

$\vec s(x,z)=x\,\vec\imath+z^2\,\vec\jmath+z\,\vec k$

with the given constraints on $x$ and $z$ . Take the normal vector to $S$ to be

$\vec s_x\times\vec s_z=-\vec\jmath+2z\,\vec k$

so that the surface element is

$\mathrm dS=\|\vec s_x\times\vec s_z\|\,\mathrm dx\,\mathrm dz=\sqrt{1+4z^2}\,\mathrm dx\,\mathrm dz$

Then in the integral, we have

$\displaystyle\iint_Sz\,\mathrm dS=\int_0^2\int_0^{\sqrt{15}/2}z\sqrt{1+4z^2}\,\mathrm dz\,\mathrm dx=\boxed{\frac{21}2}$

5 0

3 years ago

You have $83 in your bank account each week you plan to deposit eight dollars from your allowance and $15 from your paycheck the

docker41 [41]

We know that you have 83$ in your bank account.

Okay so what is 15+8=23 So that means you get 23$ per week.

Now what is 83+23=106
106+23=129
129+23=152
152+23=175
Now that was four 23's

That means it would take 4 weeks for you to have 175 dollars in your bank account.
Hope this helped.

7 0

3 years ago

1 inch = 2.5 cm.<br><br> How many inches are there in 17.4?

lions [1.4K]

I believe the answer would be 6.96 cm

7 0

3 years ago

Read 2 more answers

Which of the following equations have no solutions?

azamat

Answer:

A, B & D

Step-by-step explanation:

Because if you subtract one of the constants from both sides then you should only have equal variables. In other words, both sides have to be identical in this situation.

33x-33= 33x + 25

33x = 33x + 58 No matter what you make x, the right will be 58 bigger than the right so there is no solution.

33x+33=33x+25

33x+8= 33x nope no solution

33x+25=33x+25

33x = 33x both sides identical so there is a solution

33x-25 = 33x +25

33x= 33x+50

4 0

3 years ago

Will it fit in a pot with a height of 20 cm and a bottom radius of 10 cm of 2.5 liters?

mylen [45]

Answer:

Step-by-step explanation:

Volume of pot = πr²h

= 3.14 * 10 * 10 * 20

= 6280 cubic cm

1000 cubic cm = 1 litre

6280 cubic cm = 6.28 litre

∵ 2.5 litres will fit in the pot as the capacity of pot is 6.28 litre

8 0

3 years ago