Answer:
a) d²y/dx² = ½ x + y − ½
b) Relative minimum
Step-by-step explanation:
a) Take the derivative with respect to x.
dy/dx = ½ x + y − 1
d²y/dx² = ½ + dy/dx
d²y/dx² = ½ + (½ x + y − 1)
d²y/dx² = ½ x + y − ½
b) At (0, 1), the first and second derivatives are:
dy/dx = ½ (0) + (1) − 1
dy/dx = 0
d²y/dx² = ½ (0) + (1) − ½
d²y/dx² = ½
The first derivative is 0, and the second derivative is positive (concave up). Therefore, the point is a relative minimum.
Answer:

Step-by-step explanation:
Given:
m<FGK = (7w + 3)°
m<FGH = 104°
angle bisector of <FGH = GK
Required:
Value of w
SOLUTION:
Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:
m<FGH = 2*m<FGK
(substitution)
Divide both sides by 2


Subtract 3 from each side


Divide both sides by 7



I can see that the equation given above is a linear equation since y and x are the only variable and the degree is one. The standard form of a linear equation is written as:
Ax + By = C
We write the given equation into standard form as follows:
<span>y - 2 = 2(x - 3)
</span><span>y - 2 = 2x - 6
y -2x = -6 +2
y - 2x = -4
2x - y = 4</span>
P = -16
Subtract 7 from both sides to isolate the variable.
Answer:
I THINK IM WRONG BUT
Step-by-step explanation:
X3 NUZZELS POINCES ON U