8 | p q) Robert Earl Keen Radio - No x Will My Grades - Fall 2023 TTU Analy X Bb 42463295 X Q course hero - Search * *Homework Help - Q&A from Onl x Q how to screen shot - Search * + X C https://learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5fd77210592ae/42463295?X-Blackboard-$3-Bucket=learn-us-east-1-prod-fleet01-xythos&X-Blackboard-Expiration=17023284000008X-Blackboar. . .. THI HYPERTHERM NAMELY MILLER PORTAL Dell Other favorites V Draw ~ | |R Read aloud Ask Copilot - + 1 of 5 | 2 1 0 WE 1310 Final Assignment (Please show your work when pertinent) 1) Given the two vectors, C = i - 2j + k and D = 3i + j - k, their scalar product C . D is: a) 5 b) 4 c) 0 d) none of the previous 2) Are the two vectors of the previous question orthogonal? Explain it. 3) What is the absolute value of the complex number z = 5 + 12i? 4) if loga (125) =3, what is the value of logarithm base a? 5) If the average wind speed M versus height h at a given location follows the equation M (h) = (0.75m/s) * log ( calculate the average wind speed at h = 100 m. Note: log means decimal logarithm 6) The complex exponential e"2 equals a) - b) 10 c) i d) none of the previous Type here to search Desktop 0 10:40 AM 12/11/20238 | p ) Robert Earl Keen Radio - No x Wii My Grades - Fall 2023 TTU Analy X Bb 42463295 X Q course hero - Search * *Homework Help - Q&A from Onl x Q how to screen shot - Search * + X C https://learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5fd77210592ae/42463295?X-Blackboard-$3-Bucket=learn-us-east-1-prod-fleet01-xythos&X-Blackboard-Expiration=17023284000008X-Blackboar. . .. THI HYPERTHERM NAMELY MILLER PORTAL Dell Other favorites V Draw ~ | |R Read aloud Ask Copilot - + 2 of 51 2 1 ED 7) The derivative of the function y = ecosx is: a) a = esinx b) - = (-sinx) e cosx c) = -ecosx 8) The indefinite integral S (6x2 - 2x + 1) dx equals: a) x3 -x2 +x + C b)2x3 -x2 + x+ C c) none of the previous 9) The improper integral J goodx a) convergent b) divergent c) none of the previous 10 ) Calculate the partial derivatives ax ' ay du du , and ou, If u ( x, y , z ) = x2 + y - z Type here to search Desktop 0 10:40 AM 12/11/20238 | p ) Robert Earl Keen Radio - No x Wii My Grades - Fall 2023 TTU Analy X Bb 42463295 X Q course hero - Search * *Homework Help - Q&A from Onl x Q how to screen shot - Search * + X C https://learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5fd77210592ae/42463295?X-Blackboard-$3-Bucket=learn-us-east-1-prod-fleet01-xythos&X-Blackboard-Expiration=17023284000008X-Blackboar. . .. THI HYPERTHERM NAMELY MILLER PORTAL Dell Other favorites V Draw ~ | |R Read aloud Ask Copilot - + 3 of 5 | 2 1 CD 11) If the Taylor series of a function has the general expression f (x) = En=on!' The corresponding linear approximation is: a) f(x) = 1+x b)f(x) =1+x2 c) none 12) True or false: Continuity of real functions is a necessary condition for derivability 13) Check the validity of the following statements: . Because y = sin(x) is continuous at x = 0, it has derivative at x = 0 . Because y = ex has derivative at x = 0, it is continuous at x = 0 14) True or false: 3 > 17 - "x| 7047 yons N 3 (3) ME 0