MATH 116 EXAM NOTECARD - MATH 116 EXAM NOTECARD 4.8 Parametric Equations Tangent lines inst speed inst vel in x dx\/dt in y dy\/dt 5.1 Distance Traveled

# MATH 116 EXAM NOTECARD - MATH 116 EXAM NOTECARD 4.8...

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MATH 116 EXAM NOTECARD 4.8 Parametric Equations Tangent lines: inst. speed: inst. vel in x: dx/dt in y: dy/dt 5.1 Distance Traveled 5.3 Fund. Theorem of Calc f ( t ) dt = F ( b ) - F ( a ) a b ò 6.1 Antiderivatives f’(x) is positive, f is increasing f’(x) is negative, f is decreasing f’(x) is increasing, f is concave up f’(x) is decreasing, f is concave down 7.2 Integration by Parts uv ' dx = uv - u ' vdx ò ò u = L og I nverse A lgebraic T rig E xponential 7.4 Partial Fractions P(x)/Q(x) If Q(x) contains a repeated linear factor, (x-c) n , use partial fractions of the form: A 1 ( x - c ) + A 2 ( x - c ) 2 + .... + A n ( x - c ) n If Q(x) contains an unfactorable quadratic q(x), try a partial fraction of the form: