Answer:
The area of the region between the graph of the given function and the x-axis = 25,351 units²
Step-by-step explanation:
Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15
If 'f' is a continuous on [a ,b] then the function

By using integration formula

Given x⁵ + 8 x⁴ + 2 x² + 5 x + 15 in the interval [-6,6]

<em>On integration , we get</em>
= 

= 
After simplification and cancellation we get
= 
on calculation , we get
= 
On L.C.M 15
= 
= 25 351.2 units²
<u><em>Conclusion</em></u>:-
<em>The area of the region between the graph of the given function and the x-axis = 25,351 units²</em>
Answer:
94,080 cm^3
Step-by-step explanation:
V= L • W • H
V= 42 • 35 • 64
V= 94,080
Hope this helps, good luck!
Answer:
Actual length = 36
Step-by-step explanation:
<u>0.5 inches</u> = <u>12 inches</u>
1.5 = x
0.5x = 18 Solve for x
x = 36
I hope this helped and please mark me as brainliest!
Answer:
D) V= 1/6 bh
Step-by-step explanation:
The expression that provides the volume of the pyramid is as follows;
As mentioned in the question
It is given that the pyramid put inside a prism
Also the pyramid contains the similar base area but the height is half of the prism
so the base area of the pyramid is b
And, the Height of the pyramid = h ÷ 2
Now as we know that
The volume of the pyramid is
V = 1 ÷3 × base ares × height
= 1 ÷ 3 × b × h ÷ 2
V = 1 ÷ 6 bh
So, the volume is 1 ÷6 bh cube unit.
Separate the pieces
(7x1) +(5x1)+(7x1)
7+5+7= 19
19m is your answer