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BC Calc - Unit 8
| Question | Answer |
|---|---|
| Average Value Formula On Interval [a,b] | (1/b-a)∫f(x)dx |
| MVT For Integrals | there is at least one x-value for c on the interval [a,b] where f(c)=average value |
| For MVT, ∫f(x)dx=... | f(c)(b-a) |
| Speed Increases When... | v(t) and a(t) have the same signs |
| Area Between Two Curves Formula (x) | ∫(top curve - bottom curve)dx |
| Area Between Two Curves Formula (y) | ∫(right curve - left curve)dy |
| Volume With Known Cross Sections Formula (x) | V=∫A(x)dx |
| Volume With Known Cross Sections Formula (y) | V=∫A(y)dy |
| Area Of A Square | s^2 |
| Area Of A Rectangle | b·h |
| Area Of A Semi Circle | (π/8) · d^2 |
| Area Of A Quarter Circle | (π/4) · r^2 |
| Area Of A Right Triangle | (1/2)(b)(h) |
| Area Of An Equilateral Triangle | (√3/4)(s^2) |
| Area Of An Isosceles Right Triangle (Leg On Base) | (1/2)(b^2) |
| Area Of Isosceles Right Triangle (With Hypotenuse) | (1/4)(s^2) |
| Arc Length Formula (x) | L=∫√1+(f'(x))^2dx |
| Arc Length Formula (y) | L=∫√1+(f'(y))^2dy |