Answer:
Volume = 33.51 m^3
Step-by-step explanation:
<u>Formula for a Sphere: V = 4
/3 * π * r^3</u>
<u />
<u>Step 1: Plug in</u>
V = 4
/3 * π * (2)^3
V = 4/3 * π * 8
V = c
<em>V = 33.51</em>
<em />
Answer: Volume = 33.51 m^3
Answer:
x=7
Step-by-step explanation:
I got this because it is rise over run
The missing number would be 3, and if you add that three to 4 you get 7. which means that the answer is...
(7,12)
<h2>Hope this helps you!!!</h2>
(a) When f is increasing the derivative of f is positive.
f'(x) = 15x^4 - 15x^2 > 0
15x^2(x^2 - 1)> 0
x^2 - 1 > 0 (The inequality doesn't flip sign since x^2 is positive)
x^2 > 1
Then f is increasing when x < -1 and x > 1.
(b) The f is concave upward when f''(x) > 0.
f''(x) = 60x^3 - 30x > 0
30x(2x^2 - 1) > 0
x(2x^2 - 1) > 0
x(x^2 - 1/2) > 0
x(x - 1/sqrt(2))(x + 1/sqrt(2)) > 0
There are four regions here. We will check if f''(x) > 0.
x < -1/sqrt(2): f''(-1) = -30 < 0
-1/sqrt(2) < x < 0: f''(-0.5) = 7.5 > 0
0 < x < 1/sqrt(2): f''(0.5) = -7.5 < 0
x > 1/sqrt(2): f''(1) = 30 > 0
Thus, f''(x) > 0 at -1/sqrt(2) < x < 0 and x > 1/sqrt(2).
Therefore, f is concave upward at -1/sqrt(2) < x < 0 and x > 1/sqrt(2).
(c) The horizontal tangents of f are at the points where f'(x) = 0
15x^2(x^2 - 1) = 0
x^2 = 1
x = -1 or x = 1
f(-1) = 3(-1)^5 - 5(-1)^3 + 2 = 4
f(1) = 3(1)^5 - 5(1)^3 + 2 = 0
Therefore, the tangent lines are y = 4 and y = 0.
Y = 3x + 7....slope is 3, y int is 7
y = 3x + 2...slope is 3, y int is 2
when the slopes are the same, but the y intercepts different, then it is a parallel line with no solutions.
little tip :
slopes same, y int different, = no solution
slopes same, y int same = infinite solutions
slopes different, y int different = 1 solution
You move the decimal that is behind the four and since kg is thousand so you move the decimal three times
.014
So the answer is .014 kg
