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Today, 21:33

MarkFL replied to a thread 15.1.25 Evaluate the following double integral over the region R in Calculus

The region $R$ is a rectangle having the vertices: (0,1),\,(1,1),\,(1,-1),\,(0,-1) One way we can compute the volume is: ...

4 replies | 53 view(s)

Today, 19:41

MarkFL replied to a thread logs in Pre-Algebra and Algebra

Okay, we are given: \ln\left(x-\frac{1}{x}-3\right)=2 Converting from logarithmic to exponential form, we have: x-\frac{1}{x}-3=e^2 ...

1 replies | 15 view(s)

Today, 15:26

MarkFL replied to a thread 15.1.25 Evaluate the following double integral over the region R in Calculus

As for the $\LaTeX$, look under the "Calculus/Analysis" section of our Quick $\LaTeX$ tool. You will find it, which gives the code: ...

4 replies | 53 view(s)

Today, 10:48

MarkFL replied to a thread The Fonz and Geometry in Chat Room

Yes, and I was just pointing out that there can be other reasons a student fails besides lack of innate ability to understand the material, or an...

5 replies | 63 view(s)

Today, 10:18

MarkFL replied to a thread The Fonz and Geometry in Chat Room

If a child's parents consistently put a child down, then I think this can have negative consequences on the child. I think there are a great many...

5 replies | 63 view(s)

Yesterday, 23:08

MarkFL replied to a thread Students Fear Word Problems in Chat Room

I disagree with this...I think it is the societal attitude that it's okay to fail at math that is part of the problem. Someone says to their friends,...

9 replies | 94 view(s)

Yesterday, 22:23

MarkFL replied to a thread Probability of 3 people ending up on same team? in Basic Probability and Statistics

If we have 2000 people, 300 of which are women, then the probability that all 300 women will be on the same team is given by: P(A)=\frac{{1700...

5 replies | 51 view(s)

Yesterday, 22:01

MarkFL replied to a thread Probability of 3 people ending up on same team? in Basic Probability and Statistics

I think your second method is correct. Suppose we call the teams $X$ and $Y$...and now we need only look at one team, so let's look at team $X$. If...

5 replies | 51 view(s)

Yesterday, 19:04

MarkFL replied to a thread Solar Eclipse 2017 in Chat Room

Yesterday during the big event, we had pervasive heavy cloud cover and intermittent rain. Today, sunny and clear all day. Story of my life...(Giggle)

8 replies | 233 view(s)

Yesterday, 03:58

Opalg replied to a thread Limits of Sequences ... Bartle and Shebert, Example 3.4.3 (b) ... in Analysis

Suppose that $z_n\leqslant1$. Then $z_n^2 \leqslant z_n \leqslant 1$, $z_n^3 \leqslant z_n^2 \leqslant 1$, ... , and by induction $z_n^k\leqslant 1$...

4 replies | 70 view(s)

August 21st, 2017, 11:54

Opalg replied to a thread Limits of Sequences ... Bartle and Shebert, Example 3.4.3 (b) ... in Analysis

If $c>1$ then $c^n < c^{n+1}$. Raise both sides to the power $\frac1{n(n+1)}$ to get $c^{1/(n+1)} < c^{1/n}$. In other words, $z_{n+1} < z_n.$

4 replies | 70 view(s)

August 20th, 2017, 01:29

MarkFL posted a visitor message on Peter's profile

Hey Peter! (Wave) I edited your post to remove the duplicate content. Sorry for the late reply, I was busy "powering through" a tedious 3 hour...

August 17th, 2017, 06:02