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3 years ago

Please help 20 points

Mathematics

2 answers:

den301095 [7]3 years ago

8 0

Answer:

yes because they are almost equal like it says

Brilliant_brown [7]3 years ago

6 0

Answer:

no, nonononono, i just answered this question O_v_O

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What is the answer to this question

Archy [21]

The answer is b because 1.95+.85+2.80 and 2.80 rounded to the nearest whole # is 3.

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4 years ago

Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:

ryzh [129]

First find the critical points of f :

$f(x,y)=2x^2+3y^2-4x-5=2(x-1)^2+3y^2-7$

$\dfrac{\partial f}{\partial x}=2(x-1)=0\implies x=1$

$\dfrac{\partial f}{\partial y}=6y=0\implies y=0$

so the point (1, 0) is the only critical point, at which we have

$f(1,0)=-7$

Next check for critical points along the boundary, which can be found by converting to polar coordinates:

$f(x,y)=f(10\cos t,10\sin t)=g(t)=295-40\cos t-100\cos^2t$

Find the critical points of g :

$\dfrac{\mathrm dg}{\mathrm dt}=40\sin t+200\sin t\cos t=40\sin t(1+5\cos t)=0$

$\implies\sin t=0\text{ OR }1+5\cos t=0$

$\implies t=n\pi\text{ OR }t=\cos^{-1}\left(-\dfrac15\right)+2n\pi\text{ OR }t=-\cos^{-1}\left(-\dfrac15\right)+2n\pi$

where n is any integer. We get 4 critical points in the interval [0, 2π) at

$t=0\implies f(10,0)=155$

$t=\cos^{-1}\left(-\dfrac15\right)\implies f(-2,4\sqrt6)=299$

$t=\pi\implies f(-10,0)=235$

$t=2\pi-\cos^{-1}\left(-\dfrac15\right)\implies f(-2,-4\sqrt6)=299$

So f has a minimum of -7 and a maximum of 299.

4 0

3 years ago

Find the volume of the cylinder please help show work

Alinara [238K]

3.
$v = \pi {r}^{2} h$
the volume equation for cylinder
$v = \pi {6}^{2} (12) \\ v = \pi36(12) \\ v = 432\pi \\ v = 1357.16$
5. diameter =half of radius
$v = \pi { 27.2}^{2} (15) \\ v = \pi295.24(15) \\ v = 4437.6\pi \\ v = 13941.13$

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4 years ago

Solve 2(y – 3) = 1.2 – y.

Ne4ueva [31]

First write down your equation. 2(y-3)=1.2-y. the distribute your 2. 2 times y is 2y and 2 times -3 is -6. now you have 2y-6=1.2-y. bring your y to the other side of the equation with the opposite sign and do the same with your 6. you have 2y+y=1.2+6. combine the like terms and constants. now you have 3y=7.2. divide bother sides of the equal by 3 to get y alone. 3y/3= 7.2/3. your answer is y=2.4.

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3 years ago

Read 2 more answers

Write 7B6A. 7B6Atwelve in the base-ten system.

Juli2301 [7.4K]

In base 12, A represents 10 and B represents 11. So

7B6A (base 12) = 7*12^3 + 11*12^2 + 6*12^1 + 10*12^0

7B6A (base 12) = 12,096 + 1,584 + 72 + 10

7B6A (base 12) = 13,762 (base 10)

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4 years ago