how do i solve this problem 4. Determine whether the following series converges or diverges.Vi001-1 Vt' +4t+ 3t=1

Name: how do i solve this problem 4. Determine whether the following series
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: how do i solve this problem 4. Determine whether the following series converges or diverges.Vi001-1 Vt' +4t+ 3t=1

let the given series be ∑utt=1∞ where ut = t3t3+4t+3 let us consider vt = 1t76 Now we have lim…

Answered: |t° +4t + 3 t=1 8.

Math

Advanced Math

|t° +4t + 3 t=1 8.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.4: Series And Their Notations

Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+

See similar textbooks

Related questions

Q: et - Low e² + 3dt et +3 tana 2. G(x) =

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)=0 Find y(0.1)?

Q: solve using the appropriate method. (y − 1)y'= t , y(1) = −3

Q: 2. Use the method of undetermined coefficients to solve the equation y" – 3y + 2y = e +2.

Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of characteristic equation of given differential equation .If roots are real and…

Q: 2. (D² - 1)y = 2 1+ex

Q: 3. In trapezoid ABCD, AB || CD, LA 3x+18, ZC 3x+1,2D= 6x . Setup an equation that could be used to…

Q: Solve IVP using the Euler's substitution: 4 ÿ' = [_† !]ÿ, y' y(0) = [²]. Solve using the method of…

Q: Consider the equation (34)x = (3y)s where x and y are unknown. The number of possible solutions is

Q: A. Solve the following DE by using exact equation method: y = x- y,

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: – kz = 0, -z= 0, solution then

Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Variation of Parameters

A: Consider the given equation. y'''+2y''+4y'+8y=5e3t+1 Find the characteristic equation.…

Q: A. Solve the following DE by using exact equation method: y = x - y,

A: The given differential equation is dydx=x-y ⇒x-ydx-dy=0 ⇒M=x-y and N=-1⇒∂M∂y=-1 and ∂N∂x=0⇒∂M∂y≠∂N∂x…

Q: a) Find the general solution of the equation dªy dy dx² 4- x2 + 3e* - dr4 by using the method of…

A: As you have posted multiple parts,but they are independent so according to our guidelines we will…

Q: Find the general solution of the following equation valid near the origin: (1+4x2)y" - 8y=0

A: We have to solve given problem:

Q: How do I solve T=I/PR X 360 for "R"?

A: The given equation is

Q: Solve sz dz ; c:Iz-1|=1 C

Q: b) Now, start with the exact same equation as before, i.e. Vz+ Vj= 5,

A: Given x^(1/2) + y^(1/2) =5

Q: / Find the root of the equation 3xe* = 1 by using Newton- Raphson method Xo = 0.5 , € = 10-3

Q: 2x e dx 4e2a –8e* +5 -

Q: Q2) Solve the following equation Cauchy Euler Equation Method 2a?b" + 3ab' – 15b = 0 where, b(1) = 0…

Q: Find the general solution using the method of variation of parameters (1) y" + 9y = 12 sec 3x

Q: Q(4) Find the general solution of dy =(r- y+ 5). dr

Q: With y(5) = 0, solve y′ = e−y(2x − 4)(show all steps)

A: This question can be solved by variable separable method. In variable separable method, separate the…

Q: dy 1 3x? 1. %3D xp 1+ X' 1+ X?

Q: How do I solve this Bernoulli equation using P(x), Q(x) and n as well as u(y)?

A: First, we write it in form of Bernoulli Differential equation.

Q: iv. x2 + y3 + (Inx)e = 4. %3D

A: iv) Given, x2+y3+In xey=4 differentiate both side with respect to x.…

Q: Q1: using variation of parameters to solve: * y"' – 2y" – 21y' – 18y = 3 + 4e-t %3D

Q: equakan ,yy= xe Solve the ditferen fal with initial condition yl0) =-2

A: Given : yy' = xe-y2y0 = -2

Q: Use undetermined coefficients to find the particular solution to y'' – y' – by = 2e-2 Y(t) =

Q: Find the general solution of the different ial equation where y = æ2 is a particular solution (1 –…

Q: Use an appropriate substitution to solve the equation 9. y3 %3D 13 and find the solution that…

Q: Solve the equation ru, + (x + y)uy = 1 %3D on dof:

A: In this question, we solve the partial differential equation by using characteristic method.

Q: Obtain the general solution valid near the origin: 2y'+9ху'-36у 30

Q: ) Find the general solution to y" – y' – 2y = 3x + 4. (Be sure to find the values of the…

A: i have find Complementary function and particular integral, the general solution is the sum of them.…

Q: (2, 3), dy If x2 + xy = # = 10, then at the point dx

Q: Sin? x Solve he boundey value problem (D²+9)y= given that

A: To solve the below boundary value problem. D2+9y=sin2x Given that y0=0, yπ6=0

Q: Solve rue I.v.P. ý + 3y'-s y = y co1=2 yco)=-3

A: Given,y(0)=2 and y'(0)=-3y''+3y'-5y=0 Integrating both sides y'+3y-5=C1...............(1)on again…

Q: (D* – 4D³ +14D² – 20D +9)y = 0 - -

Q: A. Solve the following DE by using exact equation method: y = x - y, B. Solve the following equation…

A: Q2. A) Given differential equation is y¯=x-y ⇒dydx=x-y ⇒x-ydx-dy=0

Q: What value(s) of k in the equation y = ekx will satisfy the equation y + y' = y"?

Q: solve the equation y′′+y=5sin(t) using the Method of Undetermined Coefficients.

Q: Solve using the method of variation of parameters y" + 3y' + 2y =: 1+ e*

A: Given that: y''+3y'+2y=11+ex

Q: Find r'(t) r(t) = 8Vti + t?Vij + In(2 )k

A: Given, rt = 8t i + t2t j + lnt2 k

Q: 10 et e 2. dy et + e-¤

A: Given: The integral

Q: Find the general solution of y"+25y=sec(5x)

Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

Topic Video

Question

how do i solve this problem

4. Determine whether the following series converges or diverges.
Vi
00
1-1 Vt' +4t+ 3
t=1

Expert Solution

Step 1

let the given series be ${\sum u_{t}}_{t = 1}^{\infty}$

where u_t = $\frac{\sqrt[3]{t}}{\sqrt{t^{3} + 4 t + 3}}$

let us consider v_t = $\frac{1}{t^{\frac{7}{6}}}$

Now we have

$\lim_{t \to \infty} \frac{u_{t}}{v_{t}} = \lim_{t \to \infty} \frac{\sqrt[3]{t}}{\sqrt{t^{3} + 4 t + 3}} \times \frac{t^{\frac{7}{6}}}{1} = \lim_{t \to \infty} \frac{t^{\frac{3}{2}}}{\sqrt{t^{3} + 4 t + 3}} = \lim_{t \to \infty} \frac{1}{\sqrt{\frac{t^{3} + 4 t + 3}{t^{3}}}} = \lim_{t \to \infty} \frac{1}{\sqrt{1 + \frac{4}{t^{2}} + \frac{3}{t^{3}}}} = 1 (n o n z e r o f i n i t e)$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

Knowledge Booster

$Application of Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.