All categories

3 years ago

Just member 5 and 6

Mathematics

1 answer:

zavuch27 [327]3 years ago

4 0

5. 275 6.57 hope it help

You might be interested in

anie was asked to bring water for her daughter's soccer team. The coach told her he wants each player to drink 1 8 gallon of wat

Hoochie [10]

Answer:

1 gallon and one pint I hope this helps and I hope it's not wrong

7 0

2 years ago

Read 2 more answers

Find the absolute extrema for f(x,y)=4-x^2-y^4+1/2y^2 over the closed disk D:x^2+y^2 is less than or equal to 1

algol [13]

Find the critical points of $f(x,y)$ :

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

$\dfrac{\partial f}{\partial y}=y-4y^3=y(1-4y^2)=0\implies y=0\text{ or }y=\pm\dfrac12$

All three points lie within $D$ , and $f$ takes on values of

$\begin{cases}f(0,0)=4\\f\left(0,-\frac12\right)=\frac{65}{16}\\f\left(0,\frac12\right)=\frac{65}{16}\end{cases}$

Now check for extrema on the boundary of $D$ . Convert to polar coordinates:

$f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t$

Find the critical points of $g(t)$ :

$\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0$

$\implies\sin t=0\text{ or }\cos t=0\text{ or }\sin t=\pm\dfrac{\sqrt3}2$

$\implies t=n\pi\text{ or }t=\dfrac{(2n+1)\pi}2\text{ or }\pm\dfrac\pi3+2n\pi$

where $n$ is any integer. There are some redundant critical points, so we'll just consider $0\le t< 2\pi$ , which gives

$t=0\text{ or }t=\dfrac\pi3\text{ or }t=\dfrac\pi2\text{ or }t=\pi\text{ or }t=\dfrac{3\pi}2\text{ or }t=\dfrac{5\pi}3$

which gives values of

$\begin{cases}g(0)=3\\g\left(\frac\pi3\right)=\frac{57}{16}\\g\left(\frac\pi2\right)=\frac72\\g(\pi)=3\\g\left(\frac{3\pi}2\right)=\frac72\\g\left(\frac{5\pi}3\right)=\frac{57}{16}\end{cases}$

So altogether, $f(x,y)$ has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).

5 0

2 years ago

Julio has $40.00 to rent bikes for himself and a friend for 5 hours. Each bike

tia_tia [17]

Step-by-step explanation: if its asking how much money he spends in total you multiply

$3.25 x 5 = 16.25

4 0

2 years ago

Read 2 more answers

HELP ME PLS?? <br> 2 divided by 1/2= ??

Gennadij [26K]

The answer is 4
Because 0.5 times 4 is 2

5 0

3 years ago

Read 2 more answers

Sam and Elise had 41 peaches left at his roadside fruit stand. Sam went to the orchard and picked more peaches to stock up the s

uysha [10]

Answer:

Sam picked 27

Step-by-step explanation:

41-8=33

33+27=60

3 0

3 years ago

Read 2 more answers