Answer:
the Area is approximately 1
Step-by-step explanation:
Since
y=x^3
the area under a curve can be approximated to rectangles of width Δx and length y , then
Area = Sum of rectangles of width x and length = ∑ y *Δx
taking the width Δx=1 for each rectangle
Area = Sum of rectangles of width x and length= ∑ y = ∑ x^3
from x=0 to x=1 , there is only one rectangle of width Δx=1 , then
since ∑ x^3 from x=0 to x=n is n(n+1)/2]^2
Area = ∑ x^3 from x=0 to x=1 = 1(1+1)/2]^2 = 1
Note:
- The actual value of the area is calculated through the integral
Area= ∫ y dx = ∫ x^3 dx from x=0 to x=1 = 1⁴/4 = 1/4
Is rug maker a game? cuz it sounds like one...
Hi !
I don't know if it's 2x × (x + 6) or 2 × (x + 6) so I'll do both of them !
2x × (x + 6)
⇔ 2x² + 12x
2 × (x + 6)
⇔ 2x + 12
Have a nice day :)
Since we have the endpoints of a diameter the center is very easy to find. It is the midpoint of the diameter endpoints, which is just the average coordinates...
The center is:
((-7+3)/2, (-10+2)/2)
(-2,-4)
To find the radius we can use the endpoints again to find the diameter squared and then get the radius from that:
d^2=(dy)^2+(dx)^2
d^2=(2--10)^2+(3--7)^2
d^2=12^2+10^2
d^2=144+100
d^2=244
d=√244, since d=2r, r=d/2
r=√(244/4)
r=√61
The equation of a circle is (x-h)^2+(y-k)^2=r^2. We found earlier that the center was at (-2,-4) and we just saw that r^2=61 so:
(x+2)^2+(y+4)^2=61
Answer:
Option D is not a rational number
Step-by-step explanation:
A rational number is one that can be represented in the form of fraction like X/Y, where X and Y are integers and X ≠ 0. While an irrational number is one that cannot be expressed in the form of simple fractions.
For example, ¾ is a rational number while √3 is an irrational number.
Now to the question;
A) The product of 2 and 0.3333 gives;
2 × 0.3333 = 0.6666.
This can be expressed as a fraction as; 6666/10000.
Thus it is a rational number
B) The sum of 2 + √3 and 5 - √3 gives;
2 + √3 + 5 - √3 = 7
As a fraction, it can be written as; 7/1
Thus it is a rational number.
C) The sum of 37 and 12 is;
37 + 12 = 49
Can be expressed as; 49/1
Thus,it's a rational number.
D) Product of 2 and √2 gives;
2 × √2 = 2√2
It can't be expressed as a fraction with integers. Thus, it's not a rational number.