Don't forget about your tangent line andd your normal line.
Tangent Line:
1. If you are only given a x value, plug into your equation to find the y value.
2. take the derivative of the equation
3. Plug in your x value into the derivative to find the slope
4. Put in point slope
EXAMPLE: y=3x^3 + 4x^2 +5 at x=1
1. 3(1)^3+4(1)^2+5 = 12
2. 9x^2 + 8x
3. 9(1)^2 + 8(1) = 17
4. y-12 = 17 (x-1)
Normal line is the same except you take the negative reciprocal of the slope to plug in.
y-12 = -1/17 (x-1)
And also your disk.
FORMULA FOR DISKS: pi S[r(x)]^2dx, this formula is almost exactly the same as when you are asked to find the area of a disk, however, while finding the area you do not square the radius (the given equation).
FORMULA FOR WASHERS: pi S[(top)^2-(bottom)^2]dx
FORMULA FOR WASHERS: pi S[(top)^2-(bottom)^2]dx
On the AP test lately i been missing the trapezoid questions which i thought i new so if someone could help me with taht thanks.
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