Answer:
Step-by-step explanation:
Before we differentiate, let us assign a variable to the function. Let y be equal to the function i.e let y = 3√x -2/x²
In differentiation if
, then
where n is a constant and dy/dx means we are differentiating the function y with respect to x.
Applying the formula o the question given;

On differentiating the resulting function;

To combine the terms, we will add up by finding their LCM.

Answer:890.12 cm^3
Step-by-step explanation:
The formula for the volume of a cylinder is

V=628.3185307 cm^3
or simply
V=628.32 cm^3
Since, you know the radius of the hemisphere on top, you also know the radius since the height of the hemisphere is the same as it is wide.
Next, the formula for the volume of a sphere is

so the volume of a hemisphere is half of that or:

V= 261.7993878 cm^3
or simply
V=261.80 cm^3
Finally, you add both of the volumes together to get
V= 890.1179185 cm^3
or simply
V=890.12 cm^3
Answer:
We accept H₀ . We don´t have enough evidence to express the publisher claim is not true
Step by Step explanation:
We must evaluate if the mean of the price of college textbooks is different from the value claimed by the publisher
n < 30 then we must use t - distrbution
degree of freedom n - 1 df = 22 - 1 df = 21
As the question mentions " different " that means, a two-tail test
At 0,01 significance level α = 0,01 α/2 = 0,005
and t(c) = 2,831
Test Hypothesis
Null Hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ ≠ μ₀
To calculate t(s)
t(s) = ( μ - μ₀ ) /σ/√n
t(s) = ( 433,50 - 385 ) / 86,92 / √22
t(s) = 2,6171
Comparing t(c) and t(s)
t(s) < t(c)
Then t(s) is in the acceptance region we accept H₀. We don´t have enough evidence to claim that mean price differs from publisher claim
°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•
Hello!! I'm always here to help!!
•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°
2x° + 2x° + 76° = 180° ( being supplementary angle )
4x° = 180° - 76°
4x° = 104°
x = 104/4
x = 26°
•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°•·°
⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜
Have a great day!!
⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜⁜
<em>“Everything is within your power,</em>
<em>and your power is within you.”</em>
<em>― Janice Trachtman, Catching What Life Throws at You: Inspiring True Stories of Healing</em>
°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•●°·•