Answer:
4
Step-by-step explanation:
set

constrain:

Partial derivatives:

Lagrange multiplier:

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4 equations:

By solving:

Second mathod:
Solve for x^2+y^2 = 7, x^3+y^3=10 first:

The maximum is 4
Answer:
x = 37
Step-by-step explanation:
4x + 3 + x - 8 = 180
4x + x - 8 + 3 = 180
5x - 5 = 180
5x = 185
x = 37
Hope this helps!
Answer:
The equation of the parabola is
.
Step-by-step explanation:
Since the directrix is of the form
, the parabola is vertical. The vertex of the parabola (
) is the midpoint between the focus (
) and a point of the directrix (
), that is to say:
(1)
If we know that
and
, then the coordinates of the vertex of the parabola:


The vertex factor (
) is the distance of the focus with respect to the vertex:
(2)
If we know that
and
, then the vertex factor is:


The equation of the parabola in the vertex form is described below:
(3)
Where:
- Independent variable.
- Dependent variable.
- Coordinates of the vertex.
If we know that
and
, then the equation of the parabola is
.
Answer:
22.681
Step-by-step explanation:
1
4.061
<u>+ 18.620</u>
22.681
Hope this helps!! Have a wonderful day C:
Here, Sin Ф = P / H
Sin 31 = x / 430
0.515 = x /430
x = 430 * 0.515
x = 221.45
In short, Your Answer would be 221.45
Hope this helps!