Recent content by srg263
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MHB How Do Planes Intersect in Various Linear Systems?
Thanks for your response. Does it represent the z plane?- srg263
- Post #6
- Forum: Linear and Abstract Algebra
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MHB How Do Planes Intersect in Various Linear Systems?
Hi Euge, Thank you for your response - i very much appreciate your time. Unfortunately i didn't quite understand your explanation there regarding the orientation of the planes that gives this solution set. I was thinking drawing some diagrams might help me to understand, but I'm not really...- srg263
- Post #3
- Forum: Linear and Abstract Algebra
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MHB Complex Numbers - writing in polar form
Yes with that explanation and also revisiting the textbook this is starting to make sense now. Thanks so much, you've been so helpful!- srg263
- Post #16
- Forum: Topology and Analysis
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MHB Complex Numbers - writing in polar form
Thank you for updating the solution, greatly appreciated. If possible, i was wondering if you could explain how $$ z4 = -\sqrt{3} + i $$ can be written in two different ways as you have shown below. I don't understand this step. Many thanks.- srg263
- Post #14
- Forum: Topology and Analysis
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MHB Complex Numbers - writing in polar form
Hi MARKFL, Many thanks for that response. I'm still unfortunately a little confused. Also, i noticed you used z4 = $$ \sqrt{3} +i $$ when the question is $$ -\sqrt{3} + i $$ sorry if my question didn't make this clear with my poor formatting. As such, I'm thinking you're working would be...- srg263
- Post #12
- Forum: Topology and Analysis
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MHB Complex Numbers - writing in polar form
Following on from this question MarkFL, i had a final problem i was hoping you (or other users) may be able to assist with. Express z4 = $$ \sqrt{-3} + i $$ in polar form and hence solve the equation z^2 = z4. So far i have found that the polar form of z4 = $$ 2 e^{}\frac{5i\pi}{6} $$...- srg263
- Post #10
- Forum: Topology and Analysis
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MHB Complex Numbers - writing in polar form
I'm using Chrome and OS X Yosemite. Am i correct in understand i need to add in $$ $$ coding around the symbol/commands? I am placing my cursor in the text editor prior to clicking the symbols. I've had a go below, hopefully that works!$$ \infty \ne \alpha $$- srg263
- Post #8
- Forum: Topology and Analysis
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MHB Complex Numbers - writing in polar form
Thank you! Apologies for you needing to correct the post. I can't figure out the symbol/command function with coding? I can see the symbol command set to click on on the right but when i click, the symbols don't go into this text box I'm writing in? So sorry but I'm really useless with IT, I've...- srg263
- Post #6
- Forum: Topology and Analysis
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MHB Complex Numbers - writing in polar form
Hi MarkFL, Thanks so much for your response - really appreciated! I've been looking further into the properties comment and found this in my text... Properties of complex numbers: $$\frac{\text{cis}(\theta)}{\text{cis}(\partial)} = \text{cis}(\theta-\partial)$$ and...- srg263
- Post #3
- Forum: Topology and Analysis
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MHB Gradients of curves to find average growth rate between two points
Hello Maths Help Board Users, I was hoping for some guidance on the following problem. Thanks in advance for your contributions and time. "A fish population grew according to the following quadratic model - the number of fish on day t is given by P (t) = 800t - t2" Q) Find the average growth... -
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MHB Complex Numbers - writing in polar form
Hello everyone, I have a complex number problem that i would greatly appreciate some help with. Thanks in advance to anyone offering their time to make a contribution. Q) Write the following in polar form: I have attempted the question (please see my working below) and have been advised that i...- srg263
- Thread
- Complex Complex numbers Form Numbers Polar Polar form Writing
- Replies: 15
- Forum: Topology and Analysis
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MHB How Do Planes Intersect in Various Linear Systems?
Hi all, I'm stuck on progressing a problem i have received some feedback around as detailed below. I would greatly appreciate some assistance, and thank you in advance for your time and contributions. So i have a linear system: Which is row reduced to: I have identified that the system has...- srg263
- Thread
- Geometry Linear Systems
- Replies: 6
- Forum: Linear and Abstract Algebra
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MHB Working out where a function is non-negative
Ahhhh ha! Yes i can see now i was a bit off by equating non-negative as just positive i.e. >0. Thank you so much! :-) -
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MHB Working out where a function is non-negative
Hi MarkFL, Thank you for moving the thread and for taking the time to respond. Your guidance was very helpful. I ended up graphing the function which was also helpful. Am i correct in understanding the function is non-negative (value of the function is >0) in the intervals: (- ∞, -6) and (6, ∞)... -
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MHB Working out where a function is non-negative
Hi all, Any help with part (a) of the below question would be greatly appreciated, and i thank you in advance for your time. Q) State where the function y= x^4 - 36x^2 is a) non-negative b) increasing c) concave up Please note i have attached my workings. I think i am confused when saying the...