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emmainna [20.7K]
3 years ago
5

HELP ME PLS! ASAP 10 POINTS FOR THIS ONE & THE NEXT ONE!!!!!! ❗️

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0
Hope this helps!!!!

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X + (-4) = -2 <br> What does X repesents??? Please help
Nonamiya [84]

Answer:

x=2

Step-by-step explanation:

x+(-4) is the same as x-4

First you have to get X alone so you add 4 to both sides because when you add 4 to both sides it will take away the 4 on the x side.

x-4=-2

+4    +4

x= -2+4                or you can see this as 4-2 which is 2

x=2

8 0
3 years ago
Read 2 more answers
1. The length of a rectangle is 8.7cm.
Shkiper50 [21]
The width is 9.982 cm and the area is 34.07 and the diagonal is 9.52 I have I answered what you’re asking.
7 0
3 years ago
How to Divide 80 into the given Fractions
Virty [35]
7/10 of 80 is 56
4/5 of 80 is 64
3/4 of 80 is 60
5/8 of 80 is 50
1/2 of 80 is 40
1/4 of 80 is 20
1/10 of 80 is 8
1/8 of 80 is 10

to work these out divide the number by the denominator (bottom number) and multiply by the numerator (top number)
4 0
3 years ago
What is two and one-fourth subtracted by one-eighth?
Illusion [34]
Two and one eighth is the answer
3 0
3 years ago
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
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