Answer:
4 x^(3/2) + 5x -32
Step-by-step explanation:
This problem involves definite integration (anti-derivatives).
If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.
(1/2) + 1
This integrates to y = 6x
----------------
(1/2) + 1 x^(3/2)
= 6 ------------ + C
3/2
or: 4 x^(3/2) + C
and the ∫5dx term integrates to 5x + C.
The overall integral is:
4 x^(3/2) + C + 5x + C. better expressed with just one C:
4 x^(3/2) + 5x + C
We are told that the curve represented by this function goes thru (4, 20).
This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:
20 = 4 · 4^(3/2) + 5·4 + C, or:
20 = 4 (8) + 20 + C
Then 0 = 32 + C, and so C = -32.
The equation of the curve is thus 4 x^(3/2) + 5x -32
(1/2 + 1)
Answer:
The answers are A and D
Step-by-step explanation:
2/6 simplified is 1/3 and none of the other choices are equal to 1/3, so the answers are A and D.
Answer:
300,000,000
Step-by-step explanation:
change everything after the 3 to a zero, hope this is the answer you are looking for
Sum of all interior angles in a triangle = 180
let missing angle = x
x + 144 + 13 = 180
x + 157 = 180
x = 23
answer
23 degrees
Part A:
There are 8 possible outcomes.
HHH
TTT
HTH
THT
TTH
HHT
THH
HTT
Part B:
There is 2 outcomes that consist of all head or all tails.
Part C:
You would expect about 6 students to get all head or all tails.
Hope this helps c:
