A-level Mathematics C3 Formulae

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 09 October 20:03   By the end of this bore you will be accepted to accept learnt the afterward formulae:

    # y = -f left (x
ight ), is a absorption of y = f left (x
ight ), through the x axis.

    # y = f left (-x
ight ), is a absorption of y = f left (x
ight ), through the y axis.

    #y = eginfleft(x
ight)end is a absorption of y = f left (x
ight ), if y < 0, through the x-axis.

    #y =fleft(eginxend
ight) is a absorption of y = f left (x
ight ), if x > 0, through the y-axis.

    # y = f^ left (x
ight ), is a absorption of of y = f left (x
ight ), through the band y=x. y = f left (x
ight ), haveto accept a 1:1 mapping.

    # y = f left (bx
ight ), is continued appear the y-axis if 0 < b < 1, and continued abroad from the y-axis if b > 1,. In both cases the change is by b units.

    # y = af left (x
ight ), is continued appear the x-axis if 0 < a < 1, and continued abroad from the x-axis if a > 1,. In both cases the change is by a units.

    # y = f left (x - h
ight ), is a adaptation of f(x) by h units to the right.

    # y = f left (x + h
ight ), is a adaptation of f(x) by h units to the left.

    # y = f left (x
ight ) + k, is a adaptation of f(x) by k units upwards.

    # y = f left (x
ight ) - k, is a adaptation of f(x) by k units downwards.

    #e^ = ln e^x = x,

    #yleft(t
ight)=y_0e^,, area y(t) is the final value, y_0 is the antecedent value, k is the advance constant, t is the delayed time.

    #k = - frac , k for calculations involving half-lives.

    For volumes of revolution:

    ::

    

 


Tags: units

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Article In : Reference & Education  -  Mathematics