Question

Questloh 1 W . NO CALCULATOR IS ALLOWED FOR THIS QUESTION. Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point. Submit Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f (x) is a real number. S - cos() for 0 st 56 W (t) = { 1 10 – }(t – 6)2 for 6<t< 10 The depth of a river at a certain point is modeled by the function W defined above, where W (t) is measured in feet and time t is measured in hours. (a) Find W' (8). Using correct units, explain the meaning of W' (8) in the context of the problem.

Answer 1

Gilen wena { / -32s (3 lioster Torf (t-6² , 6st.si Wico) ta tag wes= lord (+-62 diff war to t - When did = 2 (-6) . W'a 12 -2, 18-6)= -2=2 = -4 feet/ur ht river at which indicates +=8hs the change g depth of úr feet / ur . ♡ but t= 1 W = 17 - 3, 601 (17) slope of tagent at tza given by m. du 14-2 mare -2; Chimnet (%) at ts3 maslope og taguta bin (29) = 1/4 and tagent is at t=3 cepat panis Alt, WH) = A(3, w(3)) W(8)= "72 - 3, Los (3%) = 17 = 85 epuj tey W-8.5= m (2-3) scanned with CamScanners Wa Wc +-) itp.5

eng Angut w= 및 H-tet w(-r) = R, .f- 1)+8** = 889 <g US) < 3) 범 나 t그 아로 버스 볼,월비부터 느난 문굴에방가는 발물비8 t초 | ) 22 olo by L Hospital rule - 13일 C Scanned with CamScanner