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ki77a [65]
3 years ago
8

H(s) = (s^4-5)^2 derivative

Mathematics
1 answer:
kirill115 [55]3 years ago
5 0

If <em>h(s)</em> = (<em>s</em> ⁴ - 5)², then by the chain and power rule,

<em>h'(s)</em> = 2 (<em>s</em> ⁴ - 5) • (<em>s</em> ⁴ - 5)'

By the power rule,

(<em>s</em> ⁴ - 5)' = 4<em>s</em> ³

so that

<em>h'(s)</em> = 8<em>s</em> ³ (<em>s</em> ⁴ - 5)

… = 8<em>s</em> ⁷ - 40<em>s </em>³

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Help!!!!! please!!!!!
defon

Answer:

The answer is option b.

<h2>144π</h2>

Step-by-step explanation:

Surface area of a sphere is 4πr²

where r is the radius

diameter = radius / 2

<h3><u>For Big </u><u>sph</u><u>ere</u></h3>

radius = 15 / 2 = 7.5in

Surface area = 4π(7.5)²

= 225π

<h3><u>Small </u><u>sph</u><u>ere</u></h3>

radius = 9/2 = 4.5in

Surface area = 4π(4.5)²

= 81π

Difference of the surface areas is

Surface area of big sphere - surface area of small sphere

Which is

225π - 81π

<h3>= 144π</h3>

Hope this helps you.

6 0
4 years ago
Write the equation of a line with a slope of 3 and a y-intercept of 1​
slega [8]

Answer:

y=3x+1

Step-by-step explanation:

Your equation should start off as y=mx+b. You must solve for m and b, although they already give you m and b. m is the slope, which here is 3 and your y is 1. Making your equation, y=3x+1.

8 0
3 years ago
Solve and graph the inequality |5 – v| &lt; 6.
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5 - v < 6, 5 - v >= 0

-5 + v < 6, 5 - v < 0

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v > -1 (don't forget that here v <= 5)

2) v < 6 + 5 (move -5 to the right side)
v < 11 (here v should be more than 5)

so from 1) you get that v is from -1 to 5 inclusive (-1;5]
and from 2) you get that v is from 5 to 11 (5;11)

so by adding up results from 1) and 2) you get v is (-1; 11)

answer: (-1; 11)

3 0
3 years ago
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Answer: h= 5/4

Step-by-step explanation:

h - 1/2 = 3/4, to find the value of h:

Step 1: Add 1/2 to both sides of the equation

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h = 5/4

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3 years ago
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What you find the area of the following parallelogram, what units should you use?
Dahasolnce [82]
I believe the answer D
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3 years ago
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