Answer:
(a) y = 9/4x -1/4
(b) (-2, -2), (-2, 2)
(c) see below
Step-by-step explanation:
(a) The derivative can be found from ...
2y·y' = 3x² +6x
At (x, y) = (1, 2), this is ...
4y' = 9
y' = 9/4
so the equation of the tangent is ...
y = (9/4)(x -1) +2
y = (9/4)x -1/4
__
(b) At y' = 0, we have ...
0 = 3x² +6x = 3x(x +2)
This says y' = 0 at x=0 or x=-2. (x = 0 is an extraneous solution.)
At x = -2, we have ...
y² = (-2)³ +3(-2)² = -8+12 = 4
y = ±2
So, the horizontal tangent points are (x, y) = (-2, ±2).
Answer:
216 pancakes every 9 hours
Step-by-step explanation:
9/3 = 3
72 x 3 = 216
Step-by-step explanation:
7/2 yan po hwhehehehe want again
Answer:
Neither
Step-by-step explanation:
When you rearrange the equation 3x+2y=1 in the form of y=mx+c
you get:
2y=-3x+1
![y=-\frac{3}{2} x+0.5](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7D%20x%2B0.5)
And if you compare it with the equation y= -x -1
You can see that the gradient is not the same, so it means it is not parallel.
To get if it is perpendicular you need to see if the two gradients multiply to give the value -1 but when you multiply
×
so it is not perpendicular as well
I hope it is right, feel free to point out anything wrong or you're unsure of :)
C. 11/10
Probability takes values from 0 to 1.