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 statement represents the IDENTITY PROPERTY OF ADDITION.
Step-by-step explanation:
Here, the given expression is 8 + 0 = 8
IDENTITY ELEMENT : Identity element is a special type of element in a given set of system, such that any number remains UNALTERED if operated with the identity element.
⇒ a + X = X for, a ≡ IDENTITY ELEMENT
Now, 8 + 0 = 8
Comparing it with the above equation , we get
0 ≡ IDENTITY ELEMENT in the given Binary operation of Addition.
Hence, the statement represent the IDENTITY PROPERTY OF ADDITION.
Answer:
a function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial.
we know, that the angle formed by an arc at the center of the circle is two times the angle formed by same arc on any point on the circumference,
So,
=》

hence, correct answer is B.
Answer:

Step-by-step explanation:
Suppose numbers are <em>x</em> and <em>y</em>
<u>Product of </u><em><u>x</u></em><u> and </u><em><u>y</u></em><u> is </u><em><u>-2</u></em>
<u />
And sum of <em>x</em> and <em>y</em> is <em>-1</em>
