The value of
Given: a table of values for the functions f(x) and g(x).
(a) Write each answer as an equality, and any decimals up to 7 decimal places. Clearly state the value of and
(i) How close to 4 do we need to take x so that
(ii) How close to 4 do we need to take x so that
(iii) How close to 0 do we need to take x so that
(iv) How close to 0 do we need to take x so that
(v) How close to 0 do we need to take x so that
(vi) How close to 0 do we need to take x so that
(vii) How close to 0 do we need to take x so that
(viii) How close to -7 do we need to take x so that
(ix) How close to −7 do we need to take x so that
(x) How close to 0 do we need to take x so that
(b) Use the definition of a limit to show that
(i)
(ii)
(iii)
(iv)
(v)
Find the distance between (0, 0) and (-3, 4) pair of points. If needed, show answers in basic root form and then round to two decimal places.
Implicit differentiation with rational exponents Determine the slope of the following curves at the given point.
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