3 (4-x), 25x52 The error involved in making a certain measurement is a continuous rv x with pdf f(x) = b). Compute P(x > 0) c). Compute - 0 otherwise x > 0.5P(-1.2 (round to 4 decimal places) d). Compute P(x < 0.5 or x > 0.5) (round to 4 decimal places)

2x+3 The average value of f(x) = on [- 1, 1] is /2 -x 2-X ^10/3 - 26 3 O A. O B. 28 - 10/3 + В. - 28 OC -10/3 3. 28 OD: 10/3 3 O E. 10/3 + 3 O F. None of these.

2. The distance traveled (in feet) by a car t seconds after acceleration from rest is given by s(t) = 8t2 a) Find the average velocity of the car over the given time intervals. (Include units) i) [5,5.05] ii) [5,5.01] iii) [5, 5.001] b) Estimate the instantaneous velocity of the car after 5 seconds. (Include units)

The following table gives data for the velocity of a sports car accelerating from 0 to 193 miles per hour over the course of 36 seconds (10 thousandths of an hour).

Compute the average rate of change of m(x)=x4  over the interval [a, a+x]. Simplify the expression as much as possible. Describe the significance of this expression.

just 1a)

14) A student attempts to find the average value of y = x¹ on the interval [-2, 2] using the following computation 2-1-2)(x^¹) dx. Is this accurate? Explain your reasoning.