please answer all the qustion i need answers

Use the following piecewise defined function to answer the questions. from the definition.) F(x) = x sin(1/x) + x for x # 0 for x =0 (a) Is A(x) continuous? -Select- (b) Which of the following represents the first step in setting up the limit definition of F'(0) ? O lim hsin(1/h) - h 1-0 h O lim xsin(1/x) + x -0 x - h lim hsin(1/h) + h - 0 h40 h O lim hain(1/h) + h - 0 x - 0 x - h O lim hsin(1/h) - 0 h .(c)..Evaluate the. limit.in. part.(b), to determine if A(x) is differentiable at x = 0 . --Select-- An electric charge, Q. in a circuit is given as a function of time, r. where C and R are positive constants. Note: C and # are uppercase letters. (a) Find Q10) = (b) Find Mm Qxe) - (c) is the charge, Q. a continuous function of time? -Stled- (d) The electric current. J. is the rate of change of the charge. Is I defined at : - 07 Hint: Think about the graphs. Consider the function f(x) = (x + [x1) + 5. (a) Rewrite the function without the absolute values. x SO F( x ) = (b) Based on the piecewise version of the function, is the function continuous? -Select-..v (c) Based on the piecewise version of the function, is the function differentiable at x = 0 ? Hint: Think of the graphs. --Select- v Provided curtain hypotheses are mee, the Mean Value The IF (x] is continuous on la, b] and differentiable on then there ments . matter cut a cech man but fin - 1-24) (a) Decermine which functions appear to satisfy the hyped an of the Mean Value Theorem on the interval 75 x5 18 345 on the tend -45. 35 on the Interval O s * $ 10 (6] Find the approximate number a that the Mean Vet POO)