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AP Calculus Unit 7
Question | Answer |
---|---|
The Amount Of Change Is Modeled By... | ∫[RATE] |
The Rate At Which An Amount Is Changing Is Modeled By... | d/dx(amount) |
If You Are Given A Table Of Values With x,y(x) Values, & You Are Asked To Find y'(#), You Need To Find... | slope (y-y/x-x) |
Calculator Syntax For Accumulation | initial condition + ∫{y1(x),x,lower,upper} |
When Looking For A Specific Value At A Specific Point, Use... | initial condition + ∫[RATE] |
If S'(t) Is A Rate Of Which Something Is Increasing Or Decreasing, S(t) Is... | the position/amount of the "something" |
To Get A Number Value When Plugging Into y1, Use... | a decimal point after the number [ex: y1(#.)] |
In Average Value, 1/b-a Is A... | constant that can be used (ex: if limit is 1 to 5, use 1/5-1) |
To Get From Velocity To Position... | integrate the velocity equation |
To Get From Velocity To Acceleration... | derive the velocity equation |
If Given A Table Of Values And Asked To Approximate A Value, Use... | the equation of the tangent line: (y-#)=slope(x-#) |
Average Acceleration Equation | (1/b-a)(v(b)-v(a)) OR (1/b-a) ∫a(t)dt |
Average Velocity Equation | (1/b-a)(p(b)-p(a)) OR (1/b-a) ∫v(t)dt |