Akshat
IiTeachChem
•Created by Gamertug on 5/25/2024 in #💭│doubts
relation fn
check the range of each function,
(2) is always positive, so can never map to a negative value, so can never map to the whole [-1,1] interval
same goes for (4) its always positive
now, for (1) its a polynomial of even degree, with coefficient of highest power positive, it goes to +infinity at both x -> +inf and -inf, its bound to have a minimum value, and its a continuous function, so it can never attain an arbitary large negative value
(3) goes to -inf as x-> -inf and +inf as x->inf, and is continuous, so it will definitely attain all real values
7 replies
IiTeachChem
•Created by Abhi on 5/20/2024 in #💭│doubts
Quadratic Ques
a - 3/a = 5 from the equation
square both sides and get
a^2 + 9/a^2
11 replies
IiTeachChem
•Created by Sukritya on 5/8/2024 in #💭│doubts
seq and series
which function's graph do these rectangles correlate to?
f(x) = 1/sqrt(x)
can you now find the bounds for the area using integration ( which is just area under 1/sqrt(x)
12 replies
IiTeachChem
•Created by Sukritya on 5/8/2024 in #💭│doubts
seq and series
Can you imagine the summation as sum of areas of rectangles?
consider rectangles of height 1/sqrt(n) and width 1
12 replies