I think you have to first separate the integral:1/(1+v^2) + v/(1+v^2),
so the integral of the first term is ArcTan (v) and for the integral of the second term i recommend you to do a change of variable:
y= 1+v^2
so
dy= 2v
and
v= dy/2and then you substitute:v/(1+v^2) = (1/2)(dy/y)
and the integral is
(1/2) (In y)finally you plug in the initial variables:
(1/2)(In [1+v^2])
so the total integral is:
ArcTan (y) + (1/2)(In [1+v^2])
Answer:
1,890 minuts
Step-by-step explanation:
3 weeks = 7 days x 3 = 21 days
He rides his bike for "45 minutes to get to school and 45 minutes to get home" which is 90 minutes per day.
Therefore, in total, he rode for 21 days x 90 minutes per day = 1,890 minutes
Solution:
It is given that two triangles Δ ABC and Δ X Y Z are similar by Side -Side - Side(SSS) Similarity theorem.
So, the Statement which is given, that is →→∠B ≅ ∠Y and ∠B ≅ ∠Z, is inadequate for similarity criterion by SSS, as these statement are about angles of Triangles,not sides, which can't be true.
So, if the two triangles are Similar by SSS criterion , then the appropriate mathematical statement must be,
⇒
Answer:
There are infinite solutions of x such as 0,1,2 ...
i.e for all x≥0 given inequality is true.
i.e x€[0,∞)
:) Hope this answers your question :)
