

(1 point) Suppose that the density of cars (in cars per mile) down a 20-mile stretch of the Penns...
(1 point) Suppose that the density of cars (in cars per mile) down a 20-mile stretch of the Pennsylvania Turnpike is approximated by 8(x) = 250 (2 + sin(4Vx+ 0.175)), at a distance x miles from the Breezewood toll plaza. Sketch a graph of this function for 0 < x < 20. (a) Complete the Riemann sum that approximates the total number of cars on this 20-mile stretch (use Dx instead of Ax): Number = Σ (b) Find the total...
136Sec8.4: Problem 2 Previous Problem Problem List Next Problem (1 point) Suppose that the density of cars (in cars per mile) down a 20-mile stretch of the Pennsylvania Turnpike is approximated by 8(x) = 350 (2 + sin(47x + 0.175)), at a distance x miles from the Breezewood toll plaza. Sketch a graph of this function for 0 < x < 20. (a) Complete the Riemann sum that approximates the total number of cars on this 20-mile stretch (use Dx...
Problem 4: Suppose that the movement of rush-hour traffic on a typical expresswa be modeled using the differential equation du du where u(x) is the density of cars (vehicles per mile), and a is distance miles) in the direction of traffic flow. We w to the boundary conditions ant to solve this equation subject u(0) 300, u(5) 400. a) Use second-order accurate, central-difference approximations to discretize the differential equation and write down the finite-difference equation for a typical point zi...
point) Your task is to estimate how far an object traveled during the time interval 0 S t S 8, but you only have the following data about the velocity of the object. time (sec) 01 2 3 4 5678 velocity feet/sec)-24-3-4-2-3231 get an idea of what the velocity function might look like, you pick up a black pen, plot the data points, and connect them by curves. Your sketch looks something e the black curve in the graph below....
ONLY NEED H, I, J, K, L, M
1. (65 points: 5 points each) For each situation below, what is the most appropriate probability model for the random variable X? (no n a) Let X - how many customers will buy a sofa tomorrow at Wolf's furniture store. b) In a program that provides free home inspections for seniors, let X- how many homes eed to specify parameter values) are inspected before one needs a new roof. c) Let X...
please step by step with explanation help with
#1,3,10,11,20,23,29,32a
1. Suppose the graph of f is given. Write equations for the graphs that are obtained from the graph of f as follows. a. Shift 3 units upward. Answer + b. Shift 3 units downward. Answer c. Shift 3 units to the right. Answer + d. Shift 3 units to the left. Answer e. Reflect about the z-axis. Answer Answer d. Shift 3 units to the left. Answer + e. Reflect...
Activity: A Journey Through Calculus from A to Z sin(x-1) :- 1) x< h(x) kr2 - 8x + 6. 13x53 Ver-6 – x2 +5, x>3 Consider f'(x), the derivative of the continuous functionſ defined on the closed interval -6,7] except at x 5. A portion of f' is given in the graph above and consists of a semicircle and two line segments. The function (x) is a piecewise defined function given above where k is a constant The function g(x)...
IB math studies
1. Ten students were asked for their average grade at the end of their last year of high school and their average grade at the end of their last year at university. The results were put into a table as follows: Student High School grade, University grade, y 90 3.2 2.6 75 80 3.0 70 95 3.8 85 90 3.8 2.8 70 95 85 3.0 3.5 10 Total 835 30.4 (a) Given that s, 8.96, sy-0.610 and...