Answer:
use photomath
Step-by-step explanation:
ur welcome
<span>The partial derivative of the given function with respect to x is
a - by/cx2 + dy/dx
In this derivative the terms in the with x is only considered other or treated as constant
The partial derivative of the given function with respect to y is
b/cx+ d2y/dx.
In this derivative the terms in the with x is only considered other or treated as constant</span>
Another way to solve this is to use the Midpoint Formula. The midpoint of a segment joining points
![(x_1,y_1)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29)
and
![(x_2,y_2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29)
is
![\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} \right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%20%5Cright%29)
So the midpoint of your segment is
![\left(\frac{5+(-2)}{2},\frac{-9+(-2)}{2}\right) = \left(\frac{3}{2},-\frac{11}{2} \right)](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B5%2B%28-2%29%7D%7B2%7D%2C%5Cfrac%7B-9%2B%28-2%29%7D%7B2%7D%5Cright%29%20%3D%20%5Cleft%28%5Cfrac%7B3%7D%7B2%7D%2C-%5Cfrac%7B11%7D%7B2%7D%20%5Cright%29)
Perhaps it helps to see that the x-coordinate of the midpoint is just the average of the x-coordinates of the points. Ditto for the y-coordinate of the midpoint; just average the y's.
Step-by-step explanation:
oh, come on. you can just use common sense.
a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.
for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).
a)
the local minimum values (y) are
-2, -1
b)
the values of x where it had these minimum values are
-1, +3
We know that
The triangle inequality<span> states that for any </span>triangle, t<span>he sum of the lengths of any two sides of a </span>triangle<span> is greater than the length of the third side
</span>so
case <span>A. 81 mm, 7 mm, 6 mm
6+7 is not > 81
case </span><span>B. 81 mm, 7 mm, 72 mm
72+7 is not > 81
case </span><span>C. 81 mm, 7 mm, 88 mm
81+7 is not > 88
case </span><span>D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok
the answer is the option
</span>D. 81 mm, 7 mm, 77 mm