boitshupoO

2020-12-07

Sketch the region that corresponds to the given inequalities, say whether the region is bounded or unbounded, and find the coordinates of all corner points (if any).

$x+y\ge 5\left(1\right)$

$x\le 10\left(2\right)$

$y\le 5\left(3\right)$

$x,y\ge 0\left(4\right)$

avortarF

Skilled2020-12-08Added 113 answers

Now we will solve the inequalities as,

Put x=0 in eqution (1) then,$0+y\ge 5$

rArr$y\ge 5$ (5)

Again, Put y=0 in equation (1) then,$x+0\ge 5$

rArr$x\ge 5$ (6)

Then, from equation (2), (6) we get,

$5\le x\le 10$ (7)

And from equation (1), (5) we get,

$5\le y\le 8$ (8)

Now, draw the graph

Put x=0 in eqution (1) then,

rArr

Again, Put y=0 in equation (1) then,

rArr

Then, from equation (2), (6) we get,

And from equation (1), (5) we get,

Now, draw the graph

Find the volume V of the described solid S

A cap of a sphere with radius r and height h.

V=??

Whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) $f\left(x\right)=-3{x}^{2}+7$

c) $f(x)=\frac{x+1}{x+2}$

?

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a.$f(x)=3$

b.$g(x)=5-2x$

c.$h\left(x\right)=\frac{2}{x}+3$

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A square is also a

A)Rhombus;

B)Parallelogram;

C)Kite;

D)none of theseWhat is the order of the numbers from least to greatest.

$A=1.5\times {10}^{3}$,

$B=1.4\times {10}^{-1}$,

$C=2\times {10}^{3}$,

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A)5;

B)4;

C)6;

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There are 60 minutes in an hour. How many minutes are there in a day (24 hours)?

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