Problem 1SP: Laplace Transforms In the last few chapters, we have looked at several ways to use integration for... Problem 2SP: Laplace Transforms In the last few chapters, we have looked at several ways to use integration for... Problem 3SP: Laplace Transforms In the last few chapters, we have looked at several ways to use integration for... Problem 4SP: Laplace Transforms In the last few chapters, we have looked at several ways to use integration for... Problem 5SP: Laplace Transforms In the last few chapters, we have looked at several ways to use integration for... Problem 347E:
Problem 348E:
Problem 349E:
Problem 350E:
Problem 351E:
Problem 352E:
Problem 353E:
Problem 354E:
Problem 355E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 356E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 357E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 358E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 359E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 360E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 361E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 362E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 363E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 364E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 365E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 366E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 367E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 368E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 369E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 370E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 371E: Determine whether the improper integrals converge or diverge. If possible, determine the value of... Problem 372E: Determine the convergence of each of the following integrals by comparison with the given integral.... Problem 373E: Determine the convergence of each of the following integrals by comparison with the given integral.... Problem 374E: Evaluate the integrals. If the integral diverges, answer “diverges.” 374. 1dxxe Problem 375E: Evaluate the integrals. If the integral diverges, answer “diverges.” 375. 01dxx Problem 376E: Evaluate the integrals. If the integral diverges, answer “diverges.” 376. 01dx 1x Problem 377E: Evaluate the integrals. If the integral diverges, answer “diverges.” 377. 01dx1x Problem 378E: Evaluate the integrals. If the integral diverges, answer “diverges.” 378. 0dxx2+1 Problem 379E: Evaluate the integrals. If the integral diverges, answer “diverges.” 379. 11dx 1 x 2 Problem 380E: Evaluate the integrals. If the integral diverges, answer “diverges.” 380. 01Inxxdx Problem 381E: Evaluate the integrals. If the integral diverges, answer “diverges.” 381. 0eIn(x)dx Problem 382E: Evaluate the integrals. If the integral diverges, answer “diverges.” 382. 0xexdx Problem 383E: Evaluate the integrals. If the integral diverges, answer “diverges.” 383. x ( x 2 +1 )2dx Problem 384E: Evaluate the integrals. If the integral diverges, answer “diverges.” 384. 0exdx Problem 385E: Evaluate the improper integrals. Each of these integrals has an infinite discontinuity either at an... Problem 386E: Evaluate the improper integrals. Each of these integrals has an infinite discontinuity either at an... Problem 387E: Evaluate the improper integrals. Each of these integrals has an infinite discontinuity either at an... Problem 388E: Evaluate the improper integrals. Each of these integrals has an infinite discontinuity either at an... Problem 389E: Evaluate the improper integrals. Each of these integrals has an infinite discontinuity either at an... Problem 390E: Evaluate the improper integrals. Each of these integrals has an infinite discontinuity either at an... Problem 391E: Evaluate dx 5Vl -jv2 . (Be careful!) (Express your answer using three decimal places.) Problem 392E: Evaluate (Express the answer in exact form.) Problem 393E: Evaluate dx 2 (x2-l)3/2 Problem 394E: Find the area of the region in the first quadrant between the curve y = and the x-axis. Problem 395E: Find the area of the region bounded by the curve 7 y — the x-axis? and on the left by n — I. Problem 396E: Find the area under the curve (X+1)3'2 bounded on the left by x = 3. Problem 397E: Find the area under v = —-—~ 1 + x2in the first quadrant. Problem 398E: Find the volume of the solid generated by revolving "3 about the x-axis the region under the curve y... Problem 399E: Find the volume of the solid generated by revolving about the y-axis the region under the curve v =... Problem 400E: Find the volume of the solid generated by revolving about the x-axis the area under the curve y =... Problem 401E: The Laplace transform of a continuous function over the
defined by F(.v) — I e '1 J 0
(see the... Problem 402E: The Laplace transform of a continuous function over the
defined by F(.v) — I e '1 J 0
(see the... Problem 403E: The Laplace transform of a continuous function over the
defined by F(.v) — I e '1 J 0
(see the... Problem 404E: (see the Student Project). This definition is used to solve some important initial-value problems in... Problem 405E: 405. Use the formula for arc length to show that the
* *22*
circumference of the circle x + y — 1 is... Problem 406E: Show that /(jr) = r Oifx < 0 '.7e_7*ifx> 0 is a probability density function. Problem 407E: Find the probability that x is between 0 and 0.3. (Use the function defined in the preceding... format_list_bulleted