<span>The
content of any course depends on where you take it--- even two courses
with the title "real analysis" at different schools can cover different
material (or the same material, but at different levels of depth).
But yeah, generally speaking, "real analysis" and "advanced calculus"
are synonyms. Schools never offer courses with *both* names, and
whichever one they do offer, it is probably a class that covers the
subject matter of calculus, but in a way that emphasizes the logical
structure of the material (in particular, precise definitions and
proofs) over just doing calculation.
My impression is that "advanced calculus" is an "older" name for this
topic, and that "real analysis" is a somewhat "newer" name for the same
topic. At least, most textbooks currently written in this area seem to
have titles with "real analysis" in them, and titles including the
phrase "advanced calculus" are less common. (There are a number of
popular books with "advanced calculus" in the title, but all of the ones
I've seen or used are reprints/updates of books originally written
decades ago.)
There have been similar shifts in other course names. What is mostly
called "complex analysis" now in course titles and textbooks, used to be
called "function theory" (sometimes "analytic function theory" or
"complex function theory"), or "complex variables". You still see some
courses and textbooks with "variables" in the title, but like "advanced
calculus", it seems to be on the way out, and not on the way in. The
trend seems to be toward "complex analysis." hope it helps
</span>
Answer:
It might just be me but the pic is super blurry could you possibly get a better one?
Step-by-step explanation:
Answer:
First option is correct. The solution of the equation is x=1.
Step-by-step explanation:
The given equation is
The value of x, which satisfy the above equation is the solution of the given equation.
Put x=1 in the given equation.
Since left hand side is equal to right side, therefore first option is correct.
Put x=2 in the given equation.
Since left hand side is not equal to right side, therefore second option is correct.
Put x=4 in the given equation.
Since left hand side is not equal to right side, therefore third option is correct.
Put x=8 in the given equation.
Since left hand side is not equal to right side, therefore fourth option is correct.
Answer:
A. Enlargement, 1.5
Step-by-step explanation:
Comparing the two triangles, it would be observed that ΔD'E'F' is larger than ΔDEF. This implies that ΔDEF has been multiplied by a scale factor.
To determine the scale factor used, consider the side DE and D'E' of the two triangles:
scale factor = 
= 
scale factor = 1.5
Therefore, ΔDEF was enlarged to ΔD'E'F' using a scale factor of 1.5. Then the correct option is A.
