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• Today, 19:21
MarkFL replied to a thread Lagrange Multipliers 2 in Calculus
I agree that the point $(2,2)$, is the only one that meets all criteria. Now we need to compare the value of $f$ at another point on the constraint,...
6 replies | 47 view(s)
• Today, 19:08
MarkFL replied to a thread Lagrange Multipliers in Calculus
I agree that of the 3 critical points, $(1,1)$ is the only one in quadrant I. Now, we know this is either a maximum or a minimum, and to determine...
6 replies | 40 view(s)
• Today, 11:15
MarkFL replied to a thread Factoring...6 in Pre-Calculus
It might be more clear to state something like the following: The difference of cubes formula states: p^3-q^3=(p-q)\left(p^2+pq+q^2\right) ...
4 replies | 56 view(s)
• Today, 10:47
MarkFL replied to a thread Lagrange Multipliers 2 in Calculus
Consider: e^u=0 What do you get when solving for $u$? Okay, you correctly found $x^2=y^2$...what do you get when you substitute for...
6 replies | 47 view(s)
• Today, 10:39
MarkFL replied to a thread Lagrange Multipliers in Calculus
What I would do is use the constraint to determine $y=2-x$. Now substitute for $y$ in both equations you mentioned, and solve for $x$, then your...
6 replies | 40 view(s)
• Today, 06:59
Hey evinda!! (Smile) I haven't figured it out yet. :( However, I can see a couple of approaches... According to Euler we have: $$a^{\phi(pq)}... 1 replies | 51 view(s) • Today, 02:30 This is a calculus question...please don't continue to post calculus questions in other forums. If given: ... 3 replies | 78 view(s) • Yesterday, 23:17 greg1313 replied to a thread Factoring...8 in Pre-Calculus 1. Correct. 2. Correct. 3. Yes, apply the sum of cubes formula to 8a^3+27b^3. Be careful with your variable names. a does not necessarily... 2 replies | 34 view(s) • Yesterday, 23:12 MarkFL replied to a thread Lagrange Multipliers 2 in Calculus If you solve both equations for \lambda and then equate the results, you obtain: \frac{ye^{xy}}{2x}=\frac{xe^{xy}}{2y} Multiply through by 2:... 6 replies | 47 view(s) • Yesterday, 22:57 greg1313 replied to a thread Factoring...7 in Pre-Calculus$$(a-b)^3=a^3-3a^2b+3ab^2-b^3$$Rearrange:$$\begin{align*}a^3-b^3&=(a-b)^3+3a^2b-3ab^2 \\ &=(a-b)^3+3ab(a-b) \\ &=(a-b) \\...
3 replies | 38 view(s)
• Yesterday, 22:18
Yes. Then in case of doubt you after factoring can multiply and see the result
4 replies | 56 view(s)
• Yesterday, 21:24
MarkFL replied to a thread Lagrange Multipliers in Calculus
Okay, so what this implies is: \frac{x}{\sqrt{6-x^2-y^2}}=\frac{y}{\sqrt{6-x^2-y^2}} Cross-multiply: x\sqrt{6-x^2-y^2}=y\sqrt{6-x^2-y^2} ...
6 replies | 40 view(s)
• Yesterday, 17:47
Actually, f(n)=2n is not a bijection, since for instance 1 does not have an original. But it does free up all the odd rooms, so that a new arrival...
1 replies | 40 view(s)
• Yesterday, 16:18
MarkFL replied to a thread The Distance Across in Geometry
Using the Pythagorean theorem, we find: \overline{MK}=\sqrt{(\sqrt{2}a)^2+(\sqrt{2}b)^2}=\sqrt{2\left(a^2+b^2\right)} Now, we know that...
6 replies | 63 view(s)
• Yesterday, 13:33
Is the angle contained by $a$ and $b$ equal to $90^\circ$? For that matter, what is the complete problem?
2 replies | 62 view(s)
• Yesterday, 06:10
MarkFL replied to a thread [SOLVED] Minimum of function under constraint in Calculus
I would use W|A: W|A - optimize 2x+y subject to xy=18
8 replies | 249 view(s)
• Yesterday, 04:29
The objective function is linear, so it describes a plane, and so I don't believe there will be any saddle points, or in fact any critical points...
4 replies | 60 view(s)
• Yesterday, 04:04
MarkFL replied to a thread Boat direction in Calculus
Is this a calculus-based physics course?
6 replies | 91 view(s)
• Yesterday, 01:37
What I would do is observe that we have cyclical symmetry, that is we may interchange $x_1$ and $x_2$ with no change in either the objective function...
4 replies | 60 view(s)
• Yesterday, 01:25
MarkFL replied to a thread The Distance Across in Geometry
Not quite...it would be \sqrt{2}a and \sqrt{2}b...so what would the diagonal of the rectangle be?
6 replies | 63 view(s)
• March 23rd, 2017, 21:17
MarkFL replied to a thread The Distance Across in Geometry
I would let $a$ be the length (in cm) of the segments with 1 tick mark, and $b$ be the length (in cm) of the segments with 2 tick marks. And so,...
6 replies | 63 view(s)
• March 23rd, 2017, 19:30
MarkFL replied to a thread Boat direction in Calculus
Being that it is an optimization problem, on a function in two variables, the way I worked it using the calculus is the most straightforward way I...
6 replies | 91 view(s)
• March 23rd, 2017, 12:53
MarkFL replied to a thread Boat direction in Calculus
I think what I would do is orient a coordinate system such that south is up and west is to the right. At time $t=0$, have boat A at the origin, and...
6 replies | 91 view(s)
• March 23rd, 2017, 11:28
There are online calculators that will spit out the answer to this question, however if you want genuine help, we need to know what you've tried, or...
3 replies | 102 view(s)
• March 23rd, 2017, 07:08
subtraction 20% is same as finding 80% of the same or multiplying by .80 deviding by 1.2 is not same as \finding 80% you get 100/1.2 = 83.3 % ...
2 replies | 49 view(s)
• March 23rd, 2017, 06:49
we are here to help you and not solve your problem, kindly inform what you have tried so that we can guide you .
3 replies | 102 view(s)
• March 23rd, 2017, 03:19
MarkFL replied to a thread Factoring...3 in Pre-Calculus
Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.
6 replies | 74 view(s)
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