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Police chase: A speeder traveling 45 miles per hour (in a 25 mph zone) passes a stopped police car which immediately takes off after the speeder. If the police car speeds up steadily to 60 miles/hour in 20 seconds and then travels at a steady 60 miles/hour, how long and how far before the police car catches the speeder who continued traveling at 45 miles/hour?I don't know where to start. I know that there is the dy/dx of the first...
Find the volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and (5,7) about a. the x-axis, b. the y-axis, c. the line x = 7, and d. the line y = 2.
Q2 Integral Test 3 Points Question 2: a) Use the Integral Test to determine the convergence of the series. k2 + 4 0 b) Does the integral converge to? Explain. c) Does the series converge to ? Explain. (Note: We are going to focus on your presentation in this problem, so please make sure your logic is clear and that your work is presented very clearly. For example, when using the Integral Test, make sure that f(x)qualifies (i.e. satisfies the...
(Calc 2) 1) Evaluate the given integral using by partis method: S 2xe*dx 2) Evaluate using partial fractions method: S •dx x²-x-6 5x
Math 118.531, Business Calc, Summer i 2020, Test: Test - 2 (Second half) Chapters 3 & 4 This Question: 1 pt 9 of 32 (23 complete) The growth rate for the demand for oil in a particular country is 11% per year. When wil the demand be double that of 2012? The ol demand will double years after 2012 (Do not round until the final answer. Then found to the nearest tenth as needed) Enter
Confirm that the Integral Test can be applied to the series. Then use the Integral Test to Στη [***??? dx = converges diverges Need Help? Master it Talk to a Tutor
Page < 2 > of 3 ZOOM 3. Use the Integral Test or a Comparison Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test or Comparison Test are satisfied. 4" (sin 4"(sin(n) + 1) 22-1
9.3 Integral Test & Seric Use the Integral Test to determine the convergence or divergence of the series. 2 3n + 6 n = 1 Part 1 of 5 Recall the Integral Test. Iff is positive positive, continuous, and decreasing decreasing for x 2 1 and an = f(n), then an and f(x) dx either both converge or both diverge. n=1 Part 2 of 5 Let f(x) 2 3x + 6 Note that f(x) is positive, continuous, and decreasing for...
2. Use the integral test to determine the convergence or divergence of the series: Σ -- ne ne1
2. Here you are to use the Integral Test to prove that converges, and then approximate the sum. a. Verify that the Integral Test applies. b. Apply the Integral Test. Do this by hand, and clearly state your conclusion. C. Use your calculator (or a computer) to approximate the 6th partial sum. use this as your approximation of the sum, find a d. Note that this is a continuation of self bound on the error in the approximation e. Use...