Homework Statement
Write as a series to represent the infinite sum and write the sum as a rational number.
0.71 + 0.7171 + 0.717171 + 0.71717171...
Please help with this problem. I have been working on it for almost an hour.
Ok so I understand part a then, because it makes sense that the f(x) values can no longer be negative. So for the next part I know that a function isn't defined when there's a sharp turn, or vertical tangent. But how do I apply that to the problem?
Homework Statement
The function f(x) is defined as f(x)= -2(x+2)(x-1)^2 on the open interval (-3,3).
a. Let g(x) be defined as g(x)= abs(f(x)) in the open interval (-3,3). determine the coordinate(s) of the relative maxima of g(x) in the open interval. Explain your reasoning.
b. For...
Homework Statement
A deposit of $2500 is made in a savings account earning 12% interest cpmpounded continuously. Find the average balance in the account during the first two years.
Homework Equations
The Attempt at a Solution
I know I'm suppose to set up an integral from 0 to 2...
Homework Statement
Find, to three decimal places, the value of x such that e-x = x. Use Newton's method.
Homework Equations
The Attempt at a Solution
I looked up what Newton's method was and I found that it was
f(x)= \int x = f(xo) + f](xo)(x-xo)
But I don't understand how...
Homework Statement
The volume of a cylindrical tin can with a top and a bottom is to be 16\pi cubic inches. If a minimum amount of tin is to be used to construct the can, what must be the height, in inches, of the can?
Homework Equations
V=\pir2h
The Attempt at a Solution
So I...
For this quater's project we are suppose to reseach the physics involved in different real life applications. Some examples my teacher gave us was "the physics of Baseball/ Football", "The physics of music", and "Electronic Display History".
I was hoping you guys/gals could help me think of...
Homework Statement
Three positive particles of charges 9.0\muC are located at the corners of an equilateral triangle with .15m sides. Calculate the magnitude and direction of the force on each particle.
Homework Equations
F=Kq1q2/d2
The Attempt at a Solution
In class we haven't...
I tried the technique that you said and I got the charge to be 5.3x 107C, but according to my teacher i was suppose to get 7.3 x 103C. Could you try to clarify why i got this answer? When you try it what answer do you get?
Homework Statement
Imagine that space invaders could deposit extra electrons in equal amounts on the Earth and on your car, which has a mass of 1200kg. Note that the rubber tires would provide some insulation. How much charge Q would need to be placed on your car (same amount on earth) in...
Homework Statement
With what initial velocity must an object be thrown upward (from ground level) to reach a maximum height of 550feet.
Use a(t)= -32ft/sec2 as the acceleration due to gravity. (neglect air resistance)
Homework Equations
Use integration
The Attempt at a Solution...
Homework Statement
The length of a simple pendulum is .45m, the pendulum bob has a mass of 365 grams, and it is released at an angle of 15o to the vertical.
a.) What is the pendulum bob's speed when it passes through the lowest point of the swing?
b.) What is the total energy stored in...