Answer:
x = 68°
Step-by-step explanation:
Answer:
x^4 + 8x
-----------------
(4-x^3)^2
Step-by-step explanation:
d /dx (x^2/(4-x^3))
When we differentiate a fraction u/v
df/dx = u/v
= v du/dx-u dv/dx
---------------------------
v^2
we know u = x^2 so du/dx = 2x
v = (4-x^3) so dv/dx = -3x^2
d dx = (4-x^3) (2x)- x^2 ( -3x^2)
-------------------------------------
(4-x^3)^2
Combining terms
(8x-2x^4) --3x^4
-------------------------------------
(4-x^3)^2
8x-2x^4 +3x^4
-------------------------------------
(4-x^3)^2
x^4 + 8x
-------------------------------------
(4-x^3)^2
Answer: 270.29 meters
Step-by-step explanation:
This is a circle which means that the distance that Charlotte measured from the center of a circular garden to its edge is the radius.
The length of the path which goes around the garden would therefore be the circumference.
Circumference = π * diameter
Diameter = radius * 2
= 43 * 2
= 86 meters
Circumference = 22/7 * 86
= 270.29 meters
1+2+3= 6 (even)
2+3+4= 9 (odd)
it can be both
F(x) = x^2/2 + 2x + 1f(x) = 1/2 * (x^2 + 4x) + 1f(x) = 1/2 * (x^2 + 4x + 4) - 1/2 * (4) + 1f(x) = 1/2 * (x + 2)^2 - 1
The vertex is (-2, -1). The axis of symmetry is x = -2. The minimum value is -1. The maximum value is infinity.
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