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Calculus with Matrices
There actually isn't a whole lot to it other than to just ensure that we can deal along with calculus with matrices.
Firstly, to this point we've only looked at matrices along with numbers as entries, although the entries in a matrix can be functions suitably. Thus we can look at matrices in the subsequent form,
Here we can talk regarding to differentiating and integrating a matrix of this form. For differentiate or integrate a matrix of that form all we perform is differentiate or integrate the particular entries.
Therefore when we run across these types of thing don't find excited concerning to it. Just differentiate or integrate as we usually would.
Under this section we saw a very condensed set of topics from linear algebra. When we find back to differential equations several of these topics will show up by chance and you will at least require knowing what the words mean.
The main topic from linear algebra that you should know however, if you are going to be capable to solve systems of differential equations is the topic of the subsequent section.
Critical point of exponential functions and trig functions, Let's see some examples that don't just involve powers of x. Example: find out all the critical points for the
If 4x^4+9x^4=64 then the maximum value of x^2+y^2 is solution) From the eq. finding the value of x^2 and putting it in x^2 + y^2.we get 2nd eq. differentiating that and putting
The probability that a randomly selected 3-year old garter snake will live to be 4 years old is .54 (assume results are independent). What is the probability that five randomly se
limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and 2 to 2x and apply the limit from 0 to 2 answer is 12.
In figure, the incircle of triangle ABC touches the sides BC, CA, and AB at D, E, and F respectively. Show that AF+BD+CE=AE+BF+CD= 1/2 (perimeter of triangle ABC), Ans:
My thousandths digit is twice the tenths digit. My tenths digit is one less than the hundredths digit. If my number is 5, what my number?
450 students. if there are 50 more boys than girls, how many boys and girls are there?
(18xy)5
what is sin, cos, and tan?
tell me about the software of compound intrest?
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