(a) f(x) = x/c, (b) f(x) = cx, x (c) f(x) = c(1/4)*, (d) f(x)=c(x+1), (e) f(x) = x/c, (f) f(x) = x = 1,2,3,4. 1,2,3,..., 10. x=1,2,3,.... x = 0,1,2,3. x = 1,2,3,...,n. x 0,1,2,3,.... (x+1)(x+2)' HINT: In part (f), write f(x) = 1/(x + 1) 1/(x+2). What is the purpose of using an acid catalyst in Fisher Esterification reaction? It helps get rid of Covid-19 virus The acid deprotonates the carbonyl oxygen and deactivates the carboxylic acid The acid protonates the carbonyl oxygen and activates carboxylic acid The acid catalyst increases the activation energy QUESTION 22 How is Friedel-Crafts Alkylation different from Friedel-Crafts Acylation? Alkylation uses R-Br as the electrophile and Acylation uses R-OBr as the electrophile Alkylation uses R-Cl as the electrophile and Acylation uses R-OCI as the electrophile Alkylation uses R-Br as the nucleophile and Acylation uses R-OBr as the nucleophile Alkylation uses R-Cl as the nucleophile and Acylation uses R-OCI as the nucleophile Let h(t) be a low-pass filter with impulse response h(t) = { 0 t 0, otherwise. (11.21) The input to the filter is X(t), a wide sense stationary random process with expected value 2 and autocorrelation Rx(t) = 8(T). What are the expected value and autocorre- lation of the output process Y(t)? =