The density of cars (in cars per mile) down a 24-mile stretch of the Pennsylvania Turnpike is approximated by 308 (2+ sin(4√x+0.2)) at a distance a miles from the Breezewood toll plaza. 1. Write a Riemann sum that approximates the total number of cars on this 24-mile stretch. To get x₁, type x_i. n ΣΟΔΕ i=1 2. The total number of cars on the 24-mile stretch is equal to cars.

Q: Use contour integrals and Cauchy Residue Theorem to calculate the following integral Justify your…

A: The integral is given as ∫0∞log xx2+4dx. The aim is to calculate the integral using contour…

Q: Express the following product as a sum. 2 sin(8z) sin(6r) Provide your answer below: 8. 9. sin sec 4…

A: The solution is:

Q: The Complex number z is defined as 2- il1+i](1-2;) gven tnt (2-3i)+ p(z-3)=7FE where Paud 7 are real…

A: The complex number z is defined as z=i1+i1-2i2

Q: ite a definite integra presents the exact of the cylinder and it.

A: Introduction: The formula for the are of the circle for the radius x is given by, A=πx2

Q: Evaluate the following integral: √√xe√xdx Select one: O a. e√x +c O b. O c. O d. 1 2√x -e√x + c…

A: The given integral is

Q: Evaluate the definite integral 플 2 sin (a) do 퓨 Give your answer exactly, i.e.as an integer,…

A: Sol:- ∫π4π22sinxdxTake the constant out:  ∫a·fxdx=a·∫fxdx=2·∫π4π2sinxdx

Q: Multiply: (1 – sec x a) (1 – sec(-x)) |

A: The solution are next step

Q: Indefinite and Definite Integrals On a piece of paper or on a device with a touch screen, hand write…

A:

Q: Use a table of integrals to find the integral. 81-x4 X Select one: O a. O b. O C. O d. O e. dx 81-x4…

A: