please answer all corretly.

1)

Use the trapezoidal rule to approximate [2x dx, using three non-uniform partitions at {0, 0.25, 1.5, 2}. O (03 + 0.253)(1) + (0.253 + 1.53)(1) + (1.53 + 23)(1) O o.5[(03 + 0.253)(0.5) + (0.253 + 1.53)(0.5) + (1.53 + 23)(0.5)] O (03 + 0.253)(0.25) + (0.253 + 1.53)(1.25) + (1.53 + 23)(0.5) O 0.5[(03 + 0.253)(0.25) + (0.253 + 1.53)(1.25) + (1.53 + 23)(0.5)]Selected values of f ' and i", where f is a twiceoierentiaole function that does not change direction between the given values, are shown in the table. Which of the following statements is true? \fEvaluate | sin(3x - 4) dx. O -COs(3x - 4) O. --cos(3x -4)+ C O sin(3x - 4) O -sin(3x -4) + CA particle is traveling at a certain velocity modeled by v(t) = 4t, where t is measured in seconds and v is measured in inches per second. How far does the particle travel for 0 s t s 3? O 18 in O 12 in 0 9 in O 3 inDetermine when the velocity equals 0 for an object whose position function is defined as t- = t + 5s' for 0 0 for x -2, then it can be concluded that fhas a relative minimum at x = -2. O True, the derivative changes from positive to negative O True, the derivative changes from negative to positive O False, the derivative changes from positive to negative O False, the derivative changes from negative to positiveConsider me funciion 9 mat is continuous on the inierval [ 1D, 1D] and for which 1:,\" 9mm = _11. What is [galaxy 21m equal to? : 020 I r[331 O 9 Which of the following functions is guaranteed by the Extreme Value Theorem to have an absolute minimum on the interval [-10, 10]? O f ( x ) = x O g(x) = V2x Oh(x) = X- 2 x2 -4 Oj(x) = cosxA car travels east in a straight path at a speed of 80 miles per hour for 2 hours and then turns around and travels west in a straight path at a speed of 60 miles per hour for 2 hours. Taking direction into account, how many miles is the car from its starting position? O 40 miles O 120 miles O 160 miles O 280 miles