Answer:
Step-by-step explanation:
using the formular for integration by parts;
∫udv = uv -∫vdu ..............equ 1
in the equation below;
∫
u=x , dv =
du= 1 v=
Substitute into equ 1
∫udv = - ∫
∫udv = - 
Answer: x = ¹/₂ ± √⁸¹
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2
Step-by-step explanation:
First write out the equation
x² - x - 20
Now we now write the equation by equating to 0
x² - x - 20 = 0
We now move 20 to the other side of the equation. So
x² - x = 20,
We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes
x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²
x² - ( ¹/₂ )² = 20 + ¹/₄
( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction
( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4
Taking the square root of both side to remove the square,we now have
x - ¹/₂ = √⁸¹/₄
x - ¹/₂ = √⁸¹/₂
Therefore,
x = ¹/₂ ± √⁸¹
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2
Answer:
Speed = 0.2 miles per minute.
Step-by-step explanation:
Given : Jamaal ran 6 miles in 30 minutes.
To find : Which expression shows how to correctly determine his speed in miles per minute.
Solution : We have given
Distance = 6 miles.
Times= 30 minute .
Speed = 
.
Speed = 
.
Speed = 0.2 miles per minute.
Therefore, Speed = 0.2 miles per minute.
Answer:
The x-axis
Step-by-step explanation:
When the y-value is 0, x value can be anything from -∞ to ∞. So, any solution would lie on the x-axis only when y = 0.
is there a value to y? if not, this is what I got:
Y^2 + 2y + 3
