Describe and diagram the set determined by the condition

mxc
Messages
3
Reaction score
0

Homework Statement


0<\left|x+3\right|<1/4


Homework Equations





The Attempt at a Solution


(-13/4)<x<(-11/4) and x\neq-3

Thanks in advance. This is my first post and I am unfamiliar with formatting this kind of stuff so I will work on getting better at that aspect.
 
Physics news on Phys.org
mxc said:

Homework Statement


0<\left|x+3\right|<1/4


Homework Equations





The Attempt at a Solution


(-13/4)<x<(-11/4) and x\neq-3

Thanks in advance. This is my first post and I am unfamiliar with formatting this kind of stuff so I will work on getting better at that aspect.

That looks OK. What's your question?
 
The book says the solution is (-13/4)<x<(-11/4).

It should be noted that this particular book is notorious for being rife with errors, but I always want to make sure that I am not wrong. Thank you LCKurtz.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Finding where a function is sign definite, sign indefinite or sign semidefinite
Replies
2
Views
1K
Calculate this Integral around the Circular Path using Green's Theorem
Replies
3
Views
2K
Dynamical Systems - Chaos: Stability condition for a 2-cycle system
Replies
2
Views
2K
Plotting a Scatter Diagram from a Large Data Set
Replies
4
Views
2K
Why is this not a general solution to this nonlinear DE?
Replies
5
Views
1K
Two Solutions for y' = 5x^3(y-1)^1/5 with Initial Condition y(0)=1
Replies
11
Views
1K
Find a spanning set a minimal spanning set for ##P_4##.
Replies
6
Views
2K
Constructing cubic spline interpolation polynomials
Replies
4
Views
1K
What Makes the Undetermined Coefficients Method Fail with Sinusoidal Input?
Replies
12
Views
1K
[Linear Alg] Determining which sets are subspaces of R[x]
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top