shamil98
Name:
Shamil
School:
Chino High
About:
This is my simple religion. There is no need for temples; no need for complicated philosophy. Our own brain, our own heart is our temple; the philosophy is kindness.
We know what we are, but know not what we may be.
It is during our darkest moments that we must focus to see the light.
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Questions Asked
shamil98:
Group Title
Let a, b, and c be positive real numbers such that abc = 1. Prove that
\[\ \frac {ab}{a^5 + b^5 + ab} + \frac {bc}{b^5 + c^5 + bc} + \frac…
updated 25 days ago
1 reply
No Medals Yet
Mathematics
shamil98:
Group Title
I have a picture below, I was wondering how I would find the relative max,min from looking at the graph of g'.
On (-5,8) find the x values…
updated one month ago
14 replies
2 Medals
Mathematics
shamil98:
Group Title
I need some assistance with some calculus review problems.
The function \[\ v(t) = t^2 - 8t + 15 \] is the velcotiy of a particle moving …
updated one month ago
10 replies
1 Medal
Mathematics
shamil98:
Group Title
Need help with another calculus problem, posting below.
updated 3 months ago
10 replies
1 Medal
Mathematics
shamil98:
Group Title
Let f and g be the functions given by f(x) = 2x(1-x) and g(x) = 3(x-1)√x for 0 ≤ x ≤ 1.
Find the volume of the solid generated when the shad…
updated 3 months ago
20 replies
3 Medals
Mathematics
shamil98:
Group Title
Find the volume of the solid generated by revolving the triangular region bounded bt the lines y = 2x and y = 0 and x = 1 about the line x =…
updated 4 months ago
28 replies
2 Medals
Mathematics
shamil98:
Group Title
An aluminium beam was brought from the outside cold into a machine shop where the temperature was held at 65 F. After 10 min, the beam warme…
updated 4 months ago
7 replies
No Medals Yet
Mathematics
shamil98:
Group Title
The radioactive decay of Sm-151 can be modeled by the differential equation
\[\ \frac{dy}{dt} = -0.0077y \] where t is measured in years. F…
updated 4 months ago
4 replies
1 Medal
Mathematics
shamil98:
Group Title
Find y.
\[\frac{ dy }{ dx } = (\cos x )e^{y+\sin x}\]
…
updated 4 months ago
6 replies
3 Medals
Mathematics
shamil98:
Group Title
\[\int\limits_{}^{} \frac{ x^2 + 3x + 7 }{ \sqrt{x}} dx\]
Using u-sub?
updated 4 months ago
29 replies
3 Medals
Mathematics
shamil98:
Group Title
In people that are considered "gifted" with superior intellect, it is common that they are struck with chronic laziness. What and how are so…
updated 4 months ago
3 replies
1 Medal
Mathematics
shamil98:
Group Title
Given that
\[\int\limits_{0}^{\infty} \sqrt{\frac{\theta}{2{\pi}x^3}}\exp \left( - \frac{ \theta(x-\mu)^2 }{ 2\mu^2x }\right) dx = 1\]
\[\…
updated 5 months ago
8 replies
1 Medal
Mathematics
shamil98:
Group Title
How many triples of positive integers (a,b,c) satisfy:
\[\ a \le b \le c \] when
\[\ abc = 1,000,000,000\]
updated 5 months ago
8 replies
No Medals Yet
Mathematics
shamil98:
Group Title
Let R be the region bounded by \[\ 2 \le x \le 4~~and~~\frac{x}{2} \le y \le \sqrt{x}\]
What is the value of:
\[N = \int\limits_{}^{}\int\…
updated 5 months ago
17 replies
2 Medals
Mathematics
shamil98:
Group Title
What is the value of
\[\int\limits_{}^{} \int\limits_{}^{} \int\limits_{R}^{} \cos(x + y + z) ~dx~dy~dz\]
\[\ \text{Where R is the region …
updated 5 months ago
24 replies
1 Medal
Mathematics
shamil98:
Group Title
\[\ \text{A monic polynomial f(x) with integer coefficients has the property:}\]
\[\ \large f(x) * f''(x) - (f')^2 = -6x^{10} + 600x \]
\[\ …
updated 5 months ago
28 replies
3 Medals
Mathematics
shamil98:
Group Title
If the value of \[\large 34 \times \frac{ \int\limits_{0}^{\pi}(\sin x)^{3\sqrt{2}+3} dx }{ \int\limits_{0}^{\frac{ \pi }{ 2 }} (\cos x)^{3\…
updated 5 months ago
24 replies
5 Medals
Mathematics
shamil98:
Group Title
The greatest integer, [x], is equal to the largest integer that is smaller than or equal to x. In the domain [0,100],
how many solutions ar…
updated 5 months ago
40 replies
6 Medals
Mathematics
shamil98:
Group Title
Leaving this up before I sleep (nearly 2 now got school xD)
Would appreciate if someone could give an explanation on doing this...
\[\lar…
updated 5 months ago
8 replies
5 Medals
Mathematics
shamil98:
Group Title
Triple Integral at the bottom of the mess of replies. How would I go about solving it?
updated 5 months ago
70 replies
7 Medals
Mathematics
shamil98:
Group Title
The accompanying table shows time-to-speed data for a 2004 Audi S4 Qauttro Cabriolet accelerating from rest to 130mph. How far had the Cabri…
updated 5 months ago
21 replies
2 Medals
Mathematics
shamil98:
Group Title
using the trapezoidal rule. Just need to see where i went wrong..
\[\int\limits_{0}^{2} x^3 dx\]
over 4 intervals so. n = 4
…
updated 5 months ago
9 replies
No Medals Yet
Mathematics
shamil98:
Group Title
\[\int\limits_{0}^{10} \frac{ 1 }{ 3+2 \sin x } dx\]
Halp.
Can someone give me a step-by-step explanation on how to do this without a gra…
updated 5 months ago
4 replies
4 Medals
Mathematics
shamil98:
Group Title
\[\text{Solve for} \frac{ dy }{ dx }.\]
\[\large y= \int\limits_{0}^{x} (\sin^2t) dt\]
How do I do this?
updated 5 months ago
4 replies
No Medals Yet
Mathematics
shamil98:
Group Title
Evaluate the integral..
I suck with integration involving trig...
\[\int\limits_{0}^{\pi/4} \frac{ 1-\sin^2 \theta }{ \cos^2 \theta}\]
updated 5 months ago
13 replies
2 Medals
Mathematics
shamil98:
Group Title
Evaluate the integral:
\[\large \int\limits_{-1}^{-8} \frac{ x-x^2 }{ 2 \sqrt[3]{x} }\]
…
updated 5 months ago
25 replies
No Medals Yet
Mathematics
shamil98:
Group Title
∫ u dv = uv - ∫ v du
∫ x^6 ln x dx…
updated 5 months ago
9 replies
2 Medals
Mathematics
shamil98:
Group Title
∫ u dv = uv - ∫ vdu
∫ xe^(2x) dx…
updated 5 months ago
12 replies
3 Medals
Mathematics
shamil98:
Group Title
∫ sqrt(4-x^2) dx on the closed interval [-2,2].
I know how to do this with graphing it (it's a semicircle, so you would use the equation fo…
updated 6 months ago
17 replies
3 Medals
Mathematics
shamil98:
Group Title
∫ |x| = |x^2/2| + c?
updated 6 months ago
8 replies
3 Medals
Mathematics
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