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9 Cards in this Set
- Front
- Back
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Area between graphs |
Uses limits in terms of x. More positive value = top, values , step 1 graph. Step 2 find intersects. Step 3. If vertically complex use multiple integrands. Solve |
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Area between graphs in terms of y |
Same as in.terms of x, but limits and differential are in terms of y. Sometimes this will be easier than in terms of x |
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Volume as the integral of cross sectional area |
Step 1, determine the formula for a A(y), a math puzzle. Determine limits |
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Total mass M |
Slice the rod into N pieces. Estimate the mass of each piece. Sum together |
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Total population |
Accounts for size of each ring and population density with each. Sums together population at each circumference. |
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Flow rate |
Same logic as for total population. Takes into account the number of particles at each circumference using radius and adjusts for how fast each particle is moving using r(v) |
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Average value |
Really logical. Find the total sum within the length a to b. Then divides by that to get the avg n value within. |
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Mean value theorem |
I'm honestly confused as to how these two things are different |
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Radial density theorem |
Takes the total mass theorem and changes roe to vary with r and then uses circumference to sum values together |
