A function z=f(x,y) has two partial derivatives and y. These derivatives correspond to each of the independent variables and can be interpreted as instantaneous rates of change (that is, as slopes of a tangent line). Similarly, ∂z/∂y represents the slope of the tangent line parallel to the y-axis.
Answer:
y = 11
Step-by-step explanation:
8 × 2 + 5²- y = 2(y + 1) + 6
8 × 2 + 5²- y = 2y + 2 + 6
8 × 2 + 25 - y = 2y + 2 + 6
16 + 25 - y = 2y + 2 + 6
41 - y = 2y + 8
41 (- y + y) = (2y + y) + 8
41 = 3y + 8
41 - 8 = 3y (+ 8 - 8)
33 = 3y
33/3 = 3y/3
y = 11
Vertex = 1,4
range = ( infinity, 4)
maximum
<h3>Given:</h3>
angle CED = 45°
angle EDC = x
angle DCE = 2x
<h3>To Find:</h3>
The value of x.
<h3>Angle Sum Property:</h3>
The sum of all the Interior Angles of a triangle is 180°.
<h3>Solution:</h3>
x + 2x + 45° = 180°
or, 3x = 180° - 45°
or, 3x = 135°
or, x = 135/3 = 45°
<h2>Answer:</h2>
The value of x is 45°.
