Using the chain rule.
<span><span>sin^3</span>(x) = [sin(x)<span>]^3
</span></span><span><span>d/<span>dx</span></span>[sin(x)<span>]^3</span>∗<span>d/<span>dx</span></span>[sin(x)]
</span>d/dx sinx = cosx
d/dx<span> cosx = -sinx </span>
d/dx<span> (-sinx) = -cosx </span>
d/dx <span>(-cosx) = sinx
back to where we started from!!! </span>
So,
repeat repeat repeat !!
First, multiply both sides by y to get rid of that y in the denominator.
Then, rearrange it to put it into standard form so you can easily see the values for a, b, and c.
Plug into quadratic formula, and you get this result:
So, y=4, y=8/3
Answer:
put the ^ when you do exponents!
Step-by-step explanation:
There are three parts to graphing an inequality.
1. determine if the line will be dashed or solid
2. determine where you will shade in
3 graph with the appropriate line and shade
1. it is just > and not ≥ so the line will be dashed, which means the line itself is not part of the answer.
2. it is y> so you shade in the area inside the parabola. if y was an actal number it might be more complicated
3. graph x^2 - 6x + 11. If that seems a bit hard, put it into vertex form by completing the square.
y = x^2 - 6x + 11
y = (x - 3)^2 +2
Since x^2 is positive it opens upward and then plug in 0 for x and y in y = (x - 3)^2 +2 to get the x and y intercepts and the -3 and +2 tells you the vertex (in this case the minimum) is at (3,2), then remember the points are mirrored on either side of the vertex. so if the y intercept is 2 to the left and one higher than the vertex, there will also be a point 2 to the RIGHT and 1 up. then just connect the dots. Keep in mind there may not be any x intercepts if it never goes below the x axis *hinthintwinkwink*
if all else fails just graph a handful of points to get the idea of the shape. Just remember you are shading inside of the parabola and using dashed lines.
Answer:
Step-by-step explanation:
0 1
3 3 ⟌ 6 4
- 0
6 4
- 3 3
3 1
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