
Collecting like terms,

Since the signs change when its position changes.

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.
The distributive property will give answer 2 ( 6 + 12 ) = 12 + 24 .
The distributive law of multiplication over basic arithmetic such as addition and subtraction is known as distributive property .
According to this property , multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the no . and then adding the products together .
In other words, according to the distributive property, an expression of the form A ( B + C ) can be solved as A ( B + C ) = AB + AC.
2 ( 6 + 12 ) = 12 + 24 .
Hence , the distributive property will give answer 2 ( 6 + 12 ) = 12 + 24 .
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Further explanation:
We have to find the equation of the line first to graph the line.
The general form of slope-intercept form of equation of line is:

Given

Putting the value of slope in the equation

To find the value of b, putting the point (-3,5) in equation

Putting the values of b and m

The graph is made by using online graphing tool Desmos.
Keywords: Equation of line, graph of line
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