What is 3/5 * 1/3= 1/3 *
1 answer:
You might be interested in
Answer:
A(-1,0) is a local maximum point.
B(-1,0) is a saddle point
C(3,0) is a saddle point
D(3,2) is a local minimum point.
Step-by-step explanation:
The given function is
The first partial derivative with respect to x is
The first partial derivative with respect to y is
We now set each equation to zero to obtain the system of equations;
Solving the two equations simultaneously, gives;
and
The critical points are
A(-1,0), B(-1,2),C(3,0),and D(3,2).
Now, we need to calculate the discriminant,
But, we would have to calculate the second partial derivatives first.
At A(-1,0),
and
Hence A(-1,0) is a local maximum point.
See graph
At B(-1,2);
Hence, B(-1,0) is neither a local maximum or a local minimum point.
This is a saddle point.
At C(3,0)
Hence, C(3,0) is neither a local minimum or maximum point. It is a saddle point.
At D(3,2),
and
Hence D(3,2) is a local minimum point.
See graph in attachment.
Option B) h = 4.5t – 27 is the equation of the straight line that best models the height h, in centimeters, of the sunflower t days after it begins to grow.
From the above graph we can see that from day 14 to day 35 , it is a straight line.
And equation of a straight line is y = mx + c or y – y1 = m(x – x1)
Where, m =slope of the line
c = intercept
the equation can be rewritten as h – h1 = m(t – t1) (1)
So, to find the equation of line , first we will calculate the slope of the line.
To find the slope : m = (h2 – h1 ) / (t2 – t1) (2)
From the graph and the table given, the coordinates (t1 , h1 ) and ( t2 , h2 ) are (14 , 36.6) and (35, 131) respectively.
Putting these values in equation (2), we get
m = (131 – 36.6)/(35 – 14)
m = 94.4/21
m = 4.5
now to find the equation of line we put the values in equation (1), we get
h – 36.6 = 4.5(t – 14)
h – 36.6 = 4.5t – 63
h = 4.5t -63 + 36.6
h = 4.5t -27
Hence the equation of the line is , option B) h = 4.5t -27
Learn more about the straight line here : brainly.com/question/6977417
#SPJ4
