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 third one
Step-by-step explanation:
36:20 18:10
-------- = -------- = 9:5
2 2
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Answer: B. A quadrilateral that has diagonals that do not bisect each other.
Step-by-step explanation:
- A parallelogram is a quadrilateral whose opposite sides are equal or congruent and parallel. Also, the opposite sides in parallelogram are equal or congruent and the sum of two adjacent angles is 180 degrees.The diagonals of parallelogram bisect each other.
Therefore by the properties of parallelogram the choice that does NOT describe a parallelogram is " <em>A quadrilateral that has diagonals that do not bisect each other</em>.".
