Question

19. (-/1 Points) DETAILS SULLIVAN CALC2 3.3.043. Use implicit differentiation to find dy dx 12+ sin(y) - 3x dx book 20. 1-/2 points) DETAILS SULLIVANCALC2 3.3.047. The function f(x) = 2x3 + 9x has an inverse function g. Find g'(0) and g(11). g'(0) - g'(11) - 21. (-/2 points) DETAILS SULLIVAN CALC2 3.3.055. An object moves along the x-axis so that its position x from the origin (in meters) is given by X(t) = sin-1), t> 0, where t is the time in seconds. (a) Find the velocity of the object at t = 2 s. m/s (b) Find the acceleration of the object at t = 2 s. m/s2

Need help with 19-21 ASAP! Thank you please

Answer 1

Given: ght sinty = 3x Apply implicity differentiation. = 3 dy da + zy do (24+ this) dy 24 ya =3 - 3 dy dk 3(5162) 2y (5792)+1 JANS 2x²+ gx Given f(u) = 2x know that f (964) Because g() is = x we inverse of is. Zero, 3 27 tak x=0 1 f(sch). g' (4)=1 » g'cha f(sch) g (O) = f"[3(0)) glo) means for what value of x², f(x) will be fcmi = 0 = So, g(0) 9'(0) = fo) Id(n=67279 » s'co=9 so, g'(o)= from g'(W) = ») gn= f'CSCMO) f(SC) 981)' means for what value of x, f(x) will be all. if(a)= 2x3+ gx f(1) = 2+9=11 skal) So g'(W) = f'cis Geisha ts csso cal seu=vics gon) =ts 'Cade Scanner HAN equetion 1

(A Givem, x) () t20 2 Know velocity a dve we & dt 2. dka 8 V(t) = 복부 휄 러 dt ㅜ 2구 V(t) - 셍 V (2) 2 - 1 mis 잇 g ANS 4 know that acceleration (9)= dv dt s du dt - (C4) 의 도 ---- Err)rtte)+() ) a = 부 g (3) 3 농늚 (+) a = us3 353 a = 그 1253 mis ANS 2. CS Scanned with CamScanner