Answer:
first off, your answer isn't wrong. all you need to do is multiply through by 3. Then you'll get the answer in the format you want.
Hope this helps
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:
You have your x and y mixed up
Step-by-step explanation:
Look at your table. You labeled y1 and y2 where the x's are. y2 = 8, y1 = 4, x2 = 12 and x1 = 6. The slope then is (8-4)/(12-6) which is 4/6 or 2/3. You did run over rise instead of rise over run. Be careful. I see that a lot when I teach the concept to beginners.
Answer:
d = 9
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-3, -4) and (6, -4)
d=√((6-(-3))²+(-4-(-4))²)
d=√((6+3))²+(-4+4))²)
d=√((9)²+(0)²)
d = √81
d = 9
Answer:
9
Step-by-step explanation: