Find the interval of convergence of the following power series. A) Find the interval of convergence of the series: sum of (x - 6)^n from n = 0 to infinity. If you click on "Tap to view steps..." you will see the steps are now numbered. You can simplify and evaluate expressions, factor/multiply polynomials, combine expressions. A Norman window has the shape of a rectangle surmounted by a semicircle as in the figure below. Show that the following series is divergent. How many integers from 0 through 30, including 0 and 30, must you pick to be sure of getting at least one integer (a) that is odd? Find the sum of the series for those value of x. sum_{n more than or equal to 3} {1 / n} / {ln(n) sqrt{ln ^2 (n) - 1}}. Sum of (2^n (x - 1)^n)/(n) from n = 1 to infinity. Determine if the following series is convergent or divergent. One is not a nickel. You may speak with a member of our customer support team by calling 1-800-876-1799. displaystyle int^3_{-3} dfrac{1}{9 +s^2} ds, Use identities to find the exact value. e^(pi + i). Math Questions and Answers from Chegg. Consider the vector field F(x,y,z)=(4z+3y) i+(5z+3x) j+(5y+4x) k . The register confirms that $5,... A man measured the angle of elevation of the top of a tower to be 70 degrees. How many bicycles were produced from the beginning of day 15 to the end of day 28? All rights reserved. Find the exact length of the curve. We will only use it to inform you about new math lessons. Earn Transferable Credit & Get your Degree. Do not count the area beneath the x-axis as negative. Find the absolute maximum and absolute minimum values of f on the given interval. If six is subtracted from three times a number, the difference is twice the number. Evaluate the integral of tan^5 x sec^6 x dx. b. irrational number. q_0 = 100. w = $20, v = $5. Consider the curve r(t) = \langle e^{-5t}\cos(-1t), e^{-5t}\sin(-1t), e^{-5t} \rangle . Sum of ((x - 6)^(2n))/(36^n) from n = 0 to infinity. Sum of ((x - 6)^n)/(factorial of (2n)) from n = 1 to infinity. Note that there are more items in the right column than on the left, so some answers will not be used. a) \int(x^2-5x+6)dx\\ b) \int(t^2-\frac{4}{t^2})dt\\. Solve integral problems - definite, indefinite integrals. 480 c. 5A + 10B = 200, Find the curvature for r(t) = \langle 4\cos t, t, 4\sin t \rangle. Let F = (7yz)i + (6xz)j + (6xy)k. Compute the following: A) div F B) curl F C) div curl F (Your answers should be expressions of x, y, and/or z), Evaluate the integral \int \frac{\log x}{x} \, dx. Use the conversation factor (1.0 inch = 2.54 cm) to change these measurements into inches. Kim's non-employee expenses are $3000 per month. (3 * 8) - 2 + (3 + 6) = ? Get help on the web or with our math app. Find the average value of the function f(x) = 2*x^3 on the interval 2 less than or equal to x less than or equal to 6. Sum of (x^n)/(n*10^n) from n = 1 to infinity. Integral of (t^2 multiplied by sin(Bt) multiplied by dt), Find the first four nonzero terms of the given taylor series. Find the coordinates of the point(s) on the parabola y = 4 - x^2 that is closest to the point (0, 1). Evaluate \int_{0}^{9}(ti + t^2j + t^3k) dt = \boxed{\space}i + \boxed{\space}j + \boxed{\space}k. Georgia is in need of an electrician. Find all the values of x such that the series \sum_{n=1}^\infty \frac{(5x-9)^n}{n^2} would converge. Evaluate the indefinite integral: \int (t^2 -\dfrac{4}{t^2})\ dt. In addition to the answers, Webmath also shows the student how to arrive at the answer. Sum of (4^n)/(factorial of (2n + 1)) x^(2n - 1) from n = 0 to infinity. Solve the following equation. Sum of ((3x)^n)/(factorial of 4n) from n = 0 to infinity. Find y_c and y_p by solving the differential equation x^2y'' + 10xy' + 8y = 0 using Cauchy Euler's rule. Find the function represented by the following series and find the interval of convergence of the series. Browse through all study tools. Is it essential to have some background in math to pursue a branch of biology? I have two U.S. coins that total 30 cents. Which problem would you like to work on? Integral of x/(9x + 9) dx. Find equations for the following: (a) The plane which passes through the point (0,0,1) which is also orthogonal to the two planes x=2 and y=19. Compute an arc length parametrization of the circle in the plane z = 9 with radius 4 and center (1, 4, 9). Do not use the product rule. Browse through all study tools. Compute the following values: A) f(x + 4y, x - 4y) B) f(xy, 6x^2 y^3), Use the integral test to determine if sum_{k=1}^{infinity} k e^{- 3 k} converges, Find r(t) and v(t) given acceleration a(t) = (t, 1), initial velocity v(0) = (- 2, 2) and initial position r(0) = (0, 0). Evaluate the integral from pi/6 to pi/3 of (tan x + sin x)/(sec x) dx. Let f(x) = 2x^2 - 2 and let g(x) = 5x + 1. cos x - cos x sin^2 x. What is the difference between a number and 20 more than that number? Find the average value of the function h(x) = 6\cos^4 x \sin x on the interval [0, \pi], Find interval of convergence and radius of convergence of the series \sum_{n=1}^\infty \frac{x^n}{9n-1}. Find the curvature of the curve r(t) = t i + t^2 j + t^3 k at the give point P(1, 1, 1). (Use C for the constant of integration.) (6x) dx + dy = 0. Can't find your question in our library? Evaluate: \int_{0}^{\dfrac{\pi}{4}} \dfrac{1 + \sin x}{\cos^2 x}\ dx, When forging animals gather resources, there are interesting ways in which mathematical predictions match. If the perimeter of the window is 37 ft, express the area, A, as a function of the width, x, of the w... How is abstract algebra related to systems biology? Decompose the acceleration of r(t)= (\sin (t)+3) i + (\cos(t)+4) j + t k into tangential and normal components. Lucky sold 54 loaves of bread in 9 days 6 loaves per day. Find the solution of the initial value problem y double prime + 2*y prime + 5y = 20e^(-t) cos(2t), y(0) = 10, y prime (0) = 0. f double prime (x) = 2e^x + 3sin x, f(0) = 0, f(pi) = 0. Determine if the series converges or diverges. Find the derivative of the function. Consider an experiment in which equal numbers of male and female insects of a certain species are permitted to intermingle. y= 1/2(e^x+e^-x) and interval [0,2]. −. All right reserved. A concert manager counted 350 ticket receipts the day after a concert. triangles, trapezoids, boxes, cylinders, cones, pyramids, spheres. What is the number? c. appliance. Evaluate the integral: integral of 2sec^4 x dx. A) (3, 3*sqrt(3), 6*sqrt(3)) B) (0, 5, 5), Find velocity and position that has the acceleration a(t)= \langle 3e^t, 18t,2e^{-t} \rangle and specified velocity and position conditions: v(0)=(3,0,-6) \enspace and \enspace r(0)=(6,-1,2). If it is path independent, find a potential function for it. Evaluate the following definite integral. Mann-Whitney U-test 2. Is there a different problem you would like further assistance with? Can you please send an image of the problem you are seeing in your book or homework? y double prime + 3y = 9x, y(0) = 0, y(1) + y prime (1) = 0. Math Questions and Answers Test your understanding with practice problems and step-by-step solutions. Find the radius of convergence and interval of convergence of the following series. x = 6 + 12t^2, y = 5 + 8t^3, 0 leq t leq 4. Find the linearization of the function z = x\sqrt y at the point (2,64), Convert from rectangular to polar coordinates: (x^2+y^2)^2 = x^2y. How many of the animals were cows? Find the area of the parallelogram with vertices A(-5, 3), B(-3, 6), C(1, 4), and D(-1, 1). A. I recommend that you use it to check your own work after you have tried to do the problem yourself. What kinds of pre-discussion activities facilitate student discourse about math? Use polar coordinates to compute the volume of the given solid. Establish the identity. Find the angle between the velocity and acceleration vectors at time t=0 . Find the number. Join millions of users in problem solving! f(t + 1). Discuss their contribution to the field of mathematics. If this is not possible, indicate "Cannot create sa... Clark Heter is an industrial engineer at Lyons Products. Evaluate the integral of 6/(x*sqrt(x^2 - 1)) + 8/(sqrt(1 + x^2)) dx. In addition to the answers, Webmath also shows the student how to arrive at Find the expansions of (3 - 2 x) (2 x + 7) (2 x + 1). Find the exact value of sin(alpha), given that cos(alpha) = -6/11 and alpha is in Quadrant II. Use the Comparison Test or the Integral Test to determine whether the given series is convergent or divergent. f(x, y) = 8y cos(x), 0 less than or equal to x less than or equal to 2pi. Suppose point J has coordinate of -2 and JK = 4. Solve for the value of x rounded to 4 decimal places: 2e 3x + 5 - 11 = 67. Consider the vector field F(x,y,z)= \langle yz,-8xz,xy \rangle . (a) g(0, 0, 0) (b) g(1, 1, 0) (c) g(0, 1, 0) (d) g(z, x, y) (e) g(x + h, y + k, z + l), Find the point of intersection of the lines r_1(t) = (-1, 1) + t (6, 10) \enspace and \enspace r_2(s) = (2, 1) + s (5, 15). (Use C as the arbitrary constant.). Basic-mathematics.com. Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Get help on the web or with our math app.

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