sum_{n=0}^{infinity} (- 1)^n / (2 n + 1)^2. f prime (x) = (26 - 5x)^(3/2); (5, 0). Solve the following initial-value problem. Eliminate the parameter t to determine a Cartesian equation for: x = t^2, y = 8 + 4t. The math answers are generated and displayed real-time, at the moment a web user types in their math problem and clicks "solve." Area of irregular shapesMath problem solver. Use the Comparison Test or the Integral Test to determine whether the given series is convergent or divergent. Note that there are more items in the right column than on the left, so some answers will not be used. Find the derivative of the function. Mann-Whitney U-test 2. int_{- 4}^{2} [ int_{pi / 2}^pi (y + y^3 cos x) d x ] d y, Integrate the following. Real Life Math SkillsLearn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball. sum_{n more than or equal to 3} {1 / n} / {ln(n) sqrt{ln ^2 (n) - 1}}. Privacy Determine if the series \sum_{n=1}^{\infty} (-1)^n 2n is absolutely convergent, conditionally convergent or divergent. Electrician B is offering her services for an initial fee of $15... Find \int \Bigg \frac{2}{x} + \frac{5}{x^3}\Biggdx . Sciences, Culinary Arts and Personal (Give your answer in interval notation.). You can simplify and evaluate expressions, factor/multiply polynomials, combine expressions. Solve integral problems - definite, indefinite integrals. You will need to get assistance from your school if you are having problems entering the answers into your online assignment. Find the interval of convergence. What is the number? Evaluate the Integral \int \tan^2 x \sec^3 x \, dx. Solve the differential equation (\sin 2x)y'=e^{5y}\cos 2x. Mathway requires javascript and a modern browser. Use this information to find f(x). Determine if this series converges conditionally, absolutely or diverges sum_{n=1}^{\infty } frac{(-1)^{(n+1)}}{n+3}. web user types in their math problem and clicks "solve." Online tutoring available for math help. Sum of (x^(n + 7))/(6*factorial of n) from n = 2 to infinity. A number n decreased by the difference between fifteen and the number. F = (1/2)S^3(2S^2 - 3S - 6). What is the range and domain of f(x) = sin x ? Evaluate the indefinite integral: \int (t^2 -\dfrac{4}{t^2})\ dt. Find the curvature kappa(t) of the curve r(t) = (-1sin t)i + (-1sin t)j + (-3cos t)k. Find the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (2, 4) ? Consider the vector field F(x, y, z) = (2 z + y) i + (2 z + x) j + (2 y + 2 x) k. a) Find a function f such that F = nabla f and f(0, 0, 0) = 0. f(x, y, z) = b) Suppose C is any curve from (0, 0,... r(t)=(2 \ln(t^2+1) i+ (\tan^{-1} t) j+8 \sqrt{t^2 + 1} k is the position vector of a particle in space at time t . An acid-base indicator is added and the resulting solution is titrated with 2.50 M HCl(aq) solution. Solve the initial value problem \displaystyle 12(t + 1) \frac{dy}{dt} - 8y = 32t, for t -1 with y(0) = 9. Matrix calculators - determinant, rank, inverse matrix, system of n equations with n variables. int (3x^2 - 5)^2 dx, Integrate each of the given expressions. Mathway currently does not support Ask an Expert Live in Chemistry. A) Find the limit: limit as x approaches infinity of arctan(e^x). Get help on the web or with our math app. Find the five roots of the equation (x + 1)^5 = 32x^5. I have two U.S. coins that total 30 cents. A factory produces bicycles at a rate of 100 + 0.1t^2 - 1.1t bicycles per week (t in weeks). You may speak with a member of our customer support team by calling 1-800-876-1799. Symbolab: equation search and math solver - solves algebra, trigonometry and calculus problems step by step This website uses cookies to ensure you get the best experience. I spoke with my team and we will make note of this for future training. a. Phone support is available Monday-Friday, 9:00AM-10:00PM ET. Find a function f such that \mathbf F = \nabla f and f(0,0,0) = 0 . Find the point(s) at which the function f(x) = 2 - x^2 equals its average value on the interval [-6,3] . Determine whether the series sum of (n^n)/(factorial of n) from n = 0 to infinity converges or diverges. Sum of k^2 e^(-k) from k = 1 to infinity. csc(u + v) = dfrac{csc u csc v}{cot v + cot u}, Find the following integrals using partial fractions a). Find the value of the integral. f(x) = 11x^3 + 11; A) [4, 6] B) [-1, 1]. Consider the vector field F(x,y,z)= \langle yz,-8xz,xy \rangle . A 12 ft ladder leaning against a house makes a 64 degree angle with the ground. If you would like to see complete Suppose f(x, y) = xy - 6. Find an equation of the plane consisting of all points that are equidistant from (5, 3, -4) and (3, -5, -2), and having -2 as the coefficient of x. Given two six-faced die, what is the maximum sum of numbers that you can get on these two die? Suppose y = sqrt(6 + 4x^3). (Write an integer or a simplified fraction.). How we can convert degree measures to radians? Sum of ((x - 6)^(2n))/(36^n) from n = 0 to infinity. If you can solve these problems with no help, you must be a genius! Math homework help. All rights reserved. Find the differential of the function. Suppose we are trying to model Y as a polynomial of X. Determine if: A) The series is absolutely convergent. Find the point(s) on the surface z^2 = xy + 1 which are closest to the point (7, 8, 0). Find an equation for the plane consisting of all points that are equidistant from the points (7, 0, -2) and (9, 12, 0). Find the interval of convergence of the following series. Math can be a difficult subject for many students, but luckily we’re here to help. Consider the polar equation r^2 \sin \theta = 5 (1) What is the equation in Cartesian (rectangular) coordinates equivalent to this polar equation? Find f. f double prime (x) = 20x^3 + 12x^2 + 4, f(0) = 2, f(1) = 4. Which problem would you like to work on? int (2x^3 - 4x^(-2))dx. f(x) = x + 1; [0, 15], Find the interval of convergence of the series \sum_{n=0}^\infty \frac{(x+5)^n}{4^n}, Find curl F for the vector field F = z\sin x i -2x\cos y j +y\tan z k at the point (\pi, 0, \pi/4), Show a separate graph of the constraint lines and the solutions that satisfy each of the following constraints: a. Will the ladder reach a window sill that is 10.5 ft up from the base of the house? Solve the following differential equation: y double prime + 4y = sin^3(x). Find all the sub game perfect equilibrium both in pure and mixed strategies. solutions you have to sign up for a free trial account. All work must be shown for each of the following problems, in the attachment below, thank you. Find the product of 2 x + 3 y and x^2 - x y + y^2. Sum of (x^(2n))/(factorial of (2n)) from n = 0 to infinity. What is the difference between a number and 20 more than that number? The slope f prime (x) at each point (x, y) on a curve y = f(x) is given, along with a particular point (a, b) on the curve. y double prime + 3y = 9x, y(0) = 0, y(1) + y prime (1) = 0. Limit as x approaches +infinity of x^(3/x). F =, Evaluate the integral: \int \dfrac{x}{x^4 -1} dx, Solve the following equation. Twenty more than four times a number is equal to the difference between -71 and three times the number.

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