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2 years ago

A positive number is always___ than a negative number

Mathematics

1 answer:

Margarita [4]2 years ago

4 0

it's always a larger number.

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Use the chain rule to find dw/dt. w = ln x2 + y2 + z2 , x = 7 sin(t), y = 9 cos(t), z = 6 tan(t)

DENIUS [597]

By the chain rule,

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{\partial w}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial w}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}+\dfrac{\partial w}{\partial z}\dfrac{\mathrm dz}{\mathrm dt}$

We have

$\dfrac{\partial w}{\partial x}=\dfrac{2x}{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial y}=\dfrac{2y}{x^2+y^2+z^2}$
$\dfrac{\partial w}{\partial z}=\dfrac{2z}{x^2+y^2+z^2}$

$\dfrac{\mathrm dx}{\mathrm dt}=7\cos t$
$\dfrac{\mathrm dy}{\mathrm dt}=-9\sin t$
$\dfrac{\mathrm dz}{\mathrm dt}=6\sec^2t$

So we have

$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac2{x^2+y^2+z^2}\left(7x\cos t-9y\sin t+6z\sec^2t\right)$
$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{2\left(49\sin t\cos t-81\cos t\sin t+36\tan t\sec^2t\right)}{49\sin^2t+81\cos^2t+36\tan^2t}$
$\dfrac{\mathrm dw}{\mathrm dt}=\dfrac{8\sin t(9-16\cos^4t)}{\cos t(36+13\cos^2t+32\cos^4t)}$

3 0

3 years ago

Multiple Choice

bixtya [17]

Answer:

Hello sorry I don't know the history questions but I do know this one! answer: b 5/36

Step-by-step explanation:

The answer is B because the probability of picking a red is 5/12 and for white it is 4/12 and then we multiply these 5/12 × 4/12 = 5/36 so 5/36 is the probability of getting red, white hope this helps!

3 0

2 years ago

Write the standard form of the equation of the circle with its center at (-5,0) and a radius of 8 what is the equation of the ci

Leto [7]

Answer:

$\large\boxed{(x+5)^2+y^2=64}$

Step-by-step explanation:

The standard form of an equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the center (-5, 0) and the radius r = 8. Substitute:

$(x-(-5))^2+(y-0)^2=8^2\\\\(x+5)^2+y^2=64$

7 0

2 years ago

a regulation tennis court for a double match is laid out so that it's length is 6 ft more than two times its width. the area of

Bond [772]

Area=LW
L=6+2W

given
A=2808

subsitute
2808=LW
subsitute 6+2W for L
2808=(6+2W)(W)
2808=2W²+6W
divide both sides by 2
1404=W²+3W
minus 1404 from both sides
0=W+3W-1404
farctor, what 2 numbers multiply to get -1404 and add to get 3
-36 and 39
0=(W-36)(W+39)
set each to zero

0=W-36
36=W

0=W+39
-39=W
false, can't have negative dimentions

W=36
L=6+2W
L=6+2(36)
L=6+72
L=78

the length is 78ft
the width is 36ft
0=

8 0

3 years ago

Find the first five terms of the sequence. an=-n2+2n

Julli [10]

If your sequence is this

$an = - {n}^{2} + 2n \\ then \\ a1 = - 1 + 2 = 1 \\ a2 = - 4 + 4 = 0 \\ a3 = - 9 + 6 = - 3 \\ a4 = - 16 + 8 = - 8 \\ a5 = - 25 + 10 = - 15$

3 0

2 years ago

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A positive number is always___ than a negative number​

A positive number is always___ than a negative number