Answer:
Step-by-step explanation:
Given the function :
y=x³ - 3x² - 9x + 2. The largest and smallest values of the function at interval [-2, 4]
We substitute x values in the interval (-2 to 4) into the equation and solve for y
At x = - 2
y = (-2)³ - 3(-2)² - 9(-2) + 2 = 0
At x = - 1
y = (-1)³ - 3(-1)² - 9(-1) + 2 = 7
At x = 0
y = (-0)³ - 3(-0)² - 9(-0) + 2 = 2
At x = 1
y = (1)³ - 3(1)² - 9(1) + 2 = - 9
At x = 2
y = (2)³ - 3(2)² - 9(2) + 2 = - 20
At x = 3
y = (3)³ - 3(3)² - 9(3) + 2 = - 25
At x = 4
y = (4)³ - 3(4)² - 9(4) + 2 = - 18
Function is greatest at
Answer:
y = x - 5
Step-by-step explanation:
Equation of any two parallel lines differ only by a constant.
Therefore, the equation of the line parallel to would be ax + by + c₂ = 0.
The equation of the line parallel to should be equal to
x - y + c = 0.
Since, a point intersecting the line is given this means that the line passes through this point. This can be used to determine the value of c.
⇒ 3 -(-2) + c = -5 + c = 0
⇒ c = - 5.
Substituting we get: x - y - 5 = 0
⇒ y = x - 5 is the required equation of the line.
Answer: plz report i'm trying to delete my account?!?!
Step-by-step explanation:
<span>Note D = r(t)
20min = 1/3 hr and 10min = 1/6 hr
(1/3hr)30mph + (1/6hr)3mph = 10.5 mi, the total distance traveled.
total distance / total time = average speed = 10.5/(1/3 + 1/6) = 10.5/(2/6 + 1/6)
10.5mi/.5hr = 21mph
Hope This Helps
</span>
Answer:
The polar coordinates is (3√5 , 333.4°) OR (3√5 , 5.82 rad)
Step-by-step explanation:
The polar form of the Cartesian coordinates (x , y) is (r , Ф), where
-
- Ф =
The Cartesian coordinates is (6 , -3)
That means the point lies in the fourth quadrant because the x-coordinate is positive and the y-coordinate is negative, so Ф will be equal [2π - ] (neglect the negative sign of y-coordinate)
∵ x = 6 and y = -3
∵ r > 0
∵
- Substitute x and y in the rule of r
∴
∴
∴
∴
Now let us find Ф
∵ 0 ≤ Ф < 2π
∴ Ф = 2π -
- Neglect the negative sign of the y-coordinate
∴ Ф = 2π -
∴ Ф = 333.4° OR Ф = 5.82 radiant
∴ The polar coordinates is (3√5 , 333.4°) OR (3√5 , 5.82 rad)