Question

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7. Answer the following questions about continuity. (a) Write down the values of z at which the following function is discontinuous. If the function is continuous at every value of z, write 'Continuous Everywhere' f(a)1 (separate multiple values by commas) (b) Write down the values of z at which the following function is discontinuous. If the function is continuous at every value of z, write 'Continuous Everywhere'. f(x) (separate multiple values by commas) (e) Find all the possible values of c so that that the following function is continuous at z 0. Va+ 20 (separate multiple values by commas) CE 8. Consider the function y-f(s) depicted below. 3 2 4 3 -2 1 2 4 -2 3 -1(x) Answer "True (T)' or 'False (F)' to the following statements. /(z) is differentiable at跙-3. fe) has a vertical tangent line at z =-1. f(z) does not have a tangent line at z . /(z) is not differentiable at 2. (a), (b)-- (c) (d) e -2.5 -1 is the equation of one of the two tangent lines at z 9. Find the following derivatives. Do not use logarithmie diferentiation or implicait diflerentiation unless 2019 (a) f(s) (c) f(x) V In (d) f(z)-邱 (e) f(z) = (1 + arccos z) (o )(Use logarithmie differentiation.) e(2-1)

Answer 1

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