Please help me answer questions #9, 10 (two screen shots), 13, 16, and 19. Additionally, please explain your answer. Thank you :)

Question 9 of 25 ) Attempt 3 Determine the interval where the function is continuous. xl II fix) = [Give your answer as an interval in the form (*,"'). Use the symbol on for innity, U for combining intervals, and an appropriate type of parenthesis "[\Question 10 of 25 > Europa, one of the larger satellites of Jupiter, has an icy surface and appears to have oceans beneath the ice. This makes it a candidate for possible extraterrestrial life. Because Europa is much smaller than most planets, its gravity is weaker. If we think of Europa as a sphere with uniform internal density, then inside the sphere, the gravitational field g is given by g(r) = Gm R3 , O S r g () = , R Er (a) For the gravitational field of Europa to be continuous at its surface, what must g( R) equal? (Hint: investigate lim,- R g(r)). g(R) = (b) Determine the gravitational field at Europa's surface. Europa's mass is 4.8 x 1022 kilograms, radius is 1.569 x 10" meters, and G = 6.67 x 10-11. (Use decimal notation. Give your answer to one decimal place.) gravitational field: m/$2 (c) Compare the result found in (b) to the gravitational field on Earth's surface, which is 9.8 meter/second. Less than the gravitational field on Earth's surface. O Greater than the gravitational field on Earth's surface.Question 13 ofzs > G Attempt 1 Suppose :vc3 + 4 5 g{x) S x3 + 4 for all x in an open interval containing 0. Use the Squeeze Theorem to nd the limit. (Use symbolic notation and fractions where needed.) Question 16 of 25 > Define f(0) and f(1) so that the function f is continuous on the interval [0, 1]. 4 sin (xX) f(x) = x(1 - x) (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(0) = 0 Incorrect f (1) = 0 IncorrectQuestion 19 M25 ) Q AttemptB Find the limit. lim xrm 22x3+2x+1 2\" 21:3 +31: (Give an exact answer. Use symbolic notation and fractions where needed. Use the symbol on for innity. Enter DNE if the limit does not exist.) = 3 22::3 +2:.:+1)"\"3 112 Incorrect