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T#148 solution is 108°
Now I'm learning matrices my question is what does a compact form of an matrix really mean?
So, which concepts are required to understand this series?
In that post 8 you've said that you're finding out dy/dx for the graph by taking general point (x,y) and second point close to first one and calculate slope of line joining those points. I've tried for the functions like 2^x , 3^x but what I'm confused about is had you calculated slope of the line or derivative as a limit?
You've said that "One thing should be clear; each value of 'a' will have a limit because we can see that the gradient at (0,1) exists, and is different for each 'a' value, and gets bigger as 'a' gets bigger"
So, my question is how could we see a gets bigger and bigger visually and please explain with an example?
What does Δx means in graph of f(x) = a^x ?
What does Stephen Wolfram's "a new kind of science" Explains?
Solution for#254 is [(2) / (x-2)(x-4)]
Solution to #311 is (1/3).
The solution of #259 is n=35
The solution of #304 is r=5.
But I got this is answer in an different way.
Let A and B are two events.
Total number of outcomes=36
A= getting sum of 8
B= getting a product of 12
P(A) = probability of the dices getting sum of 8= (5/36)
P(B) = probability of the dices getting product of 12 = (4/36)
P(A&B) = probability of getting both sum of 8 and product of 12= (2/36)
P(AUB) = probability of getting sum of 8 or getting a product of 12.
so, we should find P(AUB)
Then P(AUB) = P(A) +P(B) -P(A&B)
Now, P(AUB) = (5/36) +(4/36) -(2/36)
= (7/36)
(∴) P(AUB) =(7/36).
The solution of # 314 is (7/36).
A#74:The number (a) = -3.
Is gradient of line means slope ?
A#73. The number (a) =2
a1, a2, a3 forms an A.P with d=4.
They are:
a1=7
a2= 11
a3=15
S15= 525.
So you mean that it creates flexibility between in learning two topics?
Now I'm studying complex numbers and I want to start learn another chapter about integrations is it a right way to study both chapters at once?
So, would you tell me how could I learn a theorem and understand it intuitively for example:de moivre theorem ?
No , but I had an idea about argument of an complex number.
Now I'm reading chapter no. 5:complex numbers from higher algebra by barnard & child in that i didn't understand de Moivre's theorem and extension what does it states that and how does it works?
Cg#94 is :x+3y=7.
Ok, appreciating the applications might be useful because it helps one to enjoy the subject.
Here is a question for you
Why does the angle Ѳ called amplitude of complex number (z)?
Would you tell me what the correct way to look at it?