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Mr. Murray's Mathland
Registrace 13. 03. 2020
Operations with Complex Numbers
A brief review of imaginary and complex numbers, adding/subtracting, multiplying and dividing complex numbers, including using the conjugate!
Several examples!
Several examples!
zhlédnutí: 26
Video
Trig Form of a Complex Number!
zhlédnutí 25Před 21 dnem
A video about trigonometric (aka polar) form of a complex number, and how to convert from standard form (a bi) to trig form. 3 examples are shown, including 2 ways to find r and theta, how to check your answers, and how to use the calculator to handle a non-Unit Circle angle (that's the 3rd example if you want to skip to it)!
AP Calculus FRQ Review: Implicit Relations
zhlédnutí 80Před měsícem
A popular (FRQ) Free Response Question on the AP Calculus AB Exam - given an implicit relation. Video includes finding dy/dx with implicit differentiation, tangent line approximations, using the second derivative to judge the validity of that approximation, and finding horizontal and vertical tangent lines - know this stuff cold for the AP Exam!
AP Calculus FRQ Review: In-Out Rates
zhlédnutí 134Před 4 měsíci
A classic AP Calculus Free Response Question: interpreting a situation with an "In" and an "Out" rate: adding something while also taking it away. How to use integrals and derivatives to calculate accumulated amount gained, lost, combined with an initial amount, when the amount was at an absolute maximum or minimum, and how to use the TI-84 graphing calculator to help do it all!
AP Calculus FRQ Review: Interpreting a Derivative Graph
zhlédnutí 296Před 5 měsíci
When given a graph of the derivative of the function, how to find definite integrals, relative extrema, inflection points, intervals of increasing/decreasing and concavity, absolute extrema, and more! This is almost guaranteed to be one of the six Free Response questions on the AP Calculus Exam - make sure you have this down cold!
Calculus: Average Value Theorem
zhlédnutí 59Před 5 měsíci
How to find the 'average value' of a function over a given interval! 3 examples shown: 1 given an equation and using the Fundamental Theorem of Calculus (by hand), 1 given an equation and using the TI-84 calculator, and 1 given the graph. A good variety of examples!
Calculus: Definite Integrals From A Graph
zhlédnutí 59Před 5 měsíci
How to evaluate definite integrals from a graph using only geometry! Four examples shown, including semicircles and when switching the order of the limits of integration is required!
Law of Cosines (SAS case)
zhlédnutí 55Před 6 měsíci
Using the Law of Cosines to find the missing measurements in a triangle when given two sides and the included angle (ie, the SAS case), including using Law of Sines to help finish it off!
Law of Cosines (SSS case)
zhlédnutí 51Před 6 měsíci
How to use the Law of Cosines to solve any triangle given the three side lengths - the SSS case!
Law of Sines: Ambiguous Case (SSA)
zhlédnutí 87Před 6 měsíci
Using Law of Sines to solve a triangle when given 2 sides and a non-included angle, sometimes called the SSA or ambiguous case. 3 different examples are shown: 0 triangles possible, 1 triangle possible, and 2 triangles possible.
Law of Sines: 0, 1, or 2 Triangles?
zhlédnutí 129Před 6 měsíci
Given a few measurements, how do you tell if you can make 1 triangle or 2 with them? Or if it's even possible to make any at all? Using Law of Sines to determine, but a method of just using Soh-Cah-Toa shown as well. 7 examples shown....including a review of basic Geometry congruence postulates!
Trigonometry: Law of Sines (Basic Example)
zhlédnutí 37Před 6 měsíci
Using the Law of Sines to solve for the missing angle and sides of a triangle when given 2 angles and a side.
Geometric Sequences [Example #2]
zhlédnutí 45Před 6 měsíci
How to write the explicit definition, or formula, to find the nth term of a geometric sequence for which you are only given two different terms.
Geometric Sequences [Example #1]
zhlédnutí 46Před 6 měsíci
How to write the explicit definition, or formula, to find the nth term in a geometric sequence. Two different examples are shown!
Arithmetic Sequences [Example #2]
zhlédnutí 38Před 6 měsíci
How to write the explicit definition, or formula, to find the nth term when only given two terms in the sequence. Two different examples are given, and for each example, multiple ways are shown to solve the problem!
Calculus: Integration of Piecewise Functions [Ex. #1]
zhlédnutí 208Před 8 měsíci
Calculus: Integration of Piecewise Functions [Ex. #1]
Calculus: Integrating Piecewise Functions [Ex. #2]
zhlédnutí 254Před 8 měsíci
Calculus: Integrating Piecewise Functions [Ex. #2]
Calculus: Natural Logs and Tangent Lines!
zhlédnutí 85Před 8 měsíci
Calculus: Natural Logs and Tangent Lines!
Calculus: Taking the Derivative of y = lnx!
zhlédnutí 121Před 8 měsíci
Calculus: Taking the Derivative of y = lnx!
Calculus: Derivatives of Exponentials (not base e)!
zhlédnutí 83Před 8 měsíci
Calculus: Derivatives of Exponentials (not base e)!
Calculus AP Exam FRQ Review: Piecewise Functions
zhlédnutí 400Před rokem
Calculus AP Exam FRQ Review: Piecewise Functions
Calculus AP Exam FRQ Review: Area & Volume
zhlédnutí 79Před rokem
Calculus AP Exam FRQ Review: Area & Volume
Calculus: Optimization [Rectangle in a Semicircle]
zhlédnutí 1,8KPřed rokem
Calculus: Optimization [Rectangle in a Semicircle]
Calculus: Optimization [Volume of a Box]
zhlédnutí 176Před rokem
Calculus: Optimization [Volume of a Box]
Calculus: Optimization [Distance from Point to a Curve]
zhlédnutí 423Před rokem
Calculus: Optimization [Distance from Point to a Curve]
Calculus: Optimization [Cost of a Fence]
zhlédnutí 85Před rokem
Calculus: Optimization [Cost of a Fence]
Calculus: Given the derivative f'(x), Sketch the Graph of f(x)!
zhlédnutí 182Před rokem
Calculus: Given the derivative f'(x), Sketch the Graph of f(x)!
Calculus: Sketching The Derivative Graph
zhlédnutí 176Před rokem
Calculus: Sketching The Derivative Graph
Thank you
Comprehensive explanation, thank you so much!
Thank you sir! Thank you very much
is it possible that an equation could have more than two points of intersection in a line and parabola , if so, how?
If you're finding the intersection of a line and a parabola, or a parabola and a parabola, there can be 0, 1, or 2 points of intersection. If you're finding the intersection of higher degree functions, such as x^3, x^4, etc., the graphs can have more curves, and thus, you can have more points of intersection! Try playing around with graphs on Desmos to see!
Arigatooo
this is so clutch
Thank you so much for the explanation! Very exciting stuff!!
Hi, can I also use somehow modified version of this method in equilateral triangle?
Yes - in fact, it's even a bit easier, as with equilateral triangles, since all 3 angles are 60 degrees, when you inscribe a rectangle (90 degree angles), it creates some 30-60-90 special right triangles, so the sides have the famous x - x rt(3) - 2x relationship!
@@mr.murraysmathland381 Thank you so much
I have a quiz today, thank you so much
Best math teacher in the infinite super cosmos and beyond! Great, great guy who goes above and beyond and truly cares about the kids! Thank you Mr. Murray for another great year!! We will miss you!!
You're most welcome, and thank you!
Thank you
Wow, AWESOME!!!
Thank you
Thank you
Appreciate you. Last minute craming
fire video bro thank youi o mcuh
Tremendous explanation!!
hi guys
Thank you
When you find dx/dt how come you didn’t use x=5. You used 3 instead of 5
The edge is only 5 at the beginning of the problem. The ice cube is melting, and the question asks for the surface area rate of change at the moment when the edge is 3. Hope this helps!
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believe me or not but the recommendation algorithm offers premium content
your voice is chadlike
i got a 5 on the exam -cindy
hi - cimdy
cindy
how would we know if they wont intersect? is there any way to know that?
Yes; if you do the Quadratic Formula, and the portion inside of the square root ( b^2 - 4ac...called 'the discriminant') is negative, there will be no real solution since the square root of a negative number does not exist. This means the two graphs do not intersect! (This type of solution is called 'imaginary', which comes up a lot in Algebra 2 and beyond!)
I legit cannot thank you enough
Nice work. Thank you
Great, thank you
You are a chad, a lifesaver, and the world is blessed to have you. Thank you sir.
THANK YOU SOO MCUH
THANK YOU SOOO MUCHHH
loving the summer content!!
Gotta give the people what they want! :)
These uploads are fire
Keep it up!
The National
Morgan Wallen
Well done Murray
i really liked that scary movie Us because i enjoy the horror genre. but it was more like a thriller and it was very psychologically weird. -Sam M
So nice. Never Quit. let's build Each other up Xd
Aj - Pro Era
Honestly don't really have a favorite music group - Hannah Montana maybe?
My favorite music group is coldplay.
Queen
I love me some Queen but also WordGospel09 on CZcams and their Calculus Rhapsody!!
Lumineers
Erica - don't really have a favorite music group but Beatles are always good
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