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Differentiate the given function 𝑦 =arctan(sinh(9 𝑥 )) . a) 9sinh(9 𝑥 )1+cosh(9 𝑥 ) b) 9cosh(9 𝑥 ) c) − 9cosh(9 𝑥 ) d) 1cosh(9 𝑥 ) e) − cosh(9 𝑥 )(sinh(9 𝑥 ))2 − 1 Question 7 Your answer is CORRECT. Differentiate the given function 𝑦 =ln(sinh(3 𝑥 )) . a) 3sinh(3 𝑥 ) b) − 3cosh(3 𝑥 )sinh(3 𝑥 ) c) 3cosh(3 𝑥 )sinh(3 𝑥 ) d) cosh(3 𝑥 )sinh(3 𝑥 ) e) 3cosh(3 𝑥 ) Question 8 Your answer is CORRECT. Differentiate the given function 𝑦 =(cosh(11 𝑥 )) . 𝑥 a) (cosh(11 𝑥 )) 𝑥 ( ln(cosh(11 𝑥 ))+11sinh(11 𝑥 )cosh(11 𝑥 ) ) b) (sinh(11 𝑥 )) 𝑥 ( ln(sinh(11 𝑥 ))+11 𝑥 cosh(11 𝑥 )sinh(11 𝑥 ) ) c) (cosh(11 𝑥 )) 𝑥 ( ln(cosh(11 𝑥 ))+11cosh(11 𝑥 ) ) d) (sinh(11 𝑥 )) 𝑥 ( ln(cosh(11 𝑥 ))+11cosh(11 𝑥 ) ) e) (cosh(11 𝑥 )) 𝑥 ( ln(cosh(11 𝑥 ))+11 𝑥 sinh(11 𝑥 )cosh(11 𝑥 ) ) Question 9 Your answer is CORRECT. Find the absolute extreme values of 𝑦 = − 1012cosh( 𝑥 )+992sinh( 𝑥 ) . a) absolute max: 𝑓 (ln(10))=sinh(5) b) absolute min: 𝑓 (ln(10))= − 10 c) absolute max: 𝑓 (ln(20))= − 20 d) absolute min: 𝑓 (ln(10))=cosh(5) e) absolute max: 𝑓 (ln(10))= − 10 Question 10 Your answer is CORRECT. Determine A , B , and C so that 𝑦 = 𝐴 cosh( 𝐶𝑥 )+ 𝐵 sinh( 𝐶𝑥 ) satisfies the conditions ′′− 𝑦 25 𝑦 =0, 𝑦 (0)=1, 𝑦 ′ (0)=4 . Take 𝐶 >0 . a) [ 𝐴 =5, 𝐵 =5/4, 𝐶 =2] b) [ 𝐴 =5/4, 𝐵 =2, 𝐶 =5] c) [ 𝐴 =5, 𝐵 =1/4, 𝐶 =5] d) [ 𝐴 =1, 𝐵 =4/5, 𝐶 =5] e) [ 𝐴 =4, 𝐵 =4/5, 𝐶 =1]