integral of 1/ sqrt(x^2+x+1)dx-Start by completing the square:
∫ dx/√(x^2 + x + 1) = ∫ dx/√((x + 1/2)^2 + 3/4).
Now, let x + 1/2 = (√3/2) tan t,
dx = (√3/2) sec^2(t) dt.
So, we obtain
∫ (√3/2) sec^
d^2y /dx^2 + 4y = 0-d²y/dx² + 4y = 0
is a homogeneous second order linear differential equation.
Its characteristic equation is:
r² + 4 = 0
r² = -4
r = ±2i
This has a general solution of y = e^(
Do not understand this problem... Can someone help explain with an answer? If so, it would be a great help. Will vote best answer.-For all of these cases, we will consider three distinct real numbers
dx+dy =??-The question is not clear.
However the notation dy/dx (which we use in differentiation)indicates the differential coefficient of the function y with respect to the variable x.-any way thanks
Where is cosx= -1 ? from (-infinity, +infinity) using n
I know cosx is equal to -1 at (pi) when the interval is (0, 2(pi)] but what about at all pi?-Cosinus has a cycle of 2(pi), so that means itll be
5 men and 5 women, including Michael and Alice, participated in a match-making session at a restaurant. All participants are to sit in a way such that no two persons of the same gender sit next to eac
Bolts are produced in large numbers and it is expected that there is a 4% rejection rate due to some form of defect. A batch of 40 bolts are randomly selected for inspection.
Ten such batches are ra
in a ratio of 1 : 4 a pure substance is diluted to give a total amount of 125 mL...
so the question is asking for how much the pure subtance would be
obvisouly one four of that 125ml which I got 3
I really need help with my work. There is 30 questions but i only need help with 5. Im not asking much and i understand if you think its wrong with me asking but i really need help.
Heres the questio
A rotating objects motion can be described by its angle (θ). Given that an objects potential energy is U = 100(1-cosθ) and its kinetic energy is K = 10(dθ/dt)^2, form a second-order differential equat
What is the limit (as r approaches 9) of (r^(0.5)) / (r-9)^4
Thanks in advance!-Its positive infinity-limit (as r approaches 9) of (r^(0.5)) / (r-9)^4
=129140163
homework please answer asap its due 2morrow--16-opposite is a very broad term.
The answer to your problem (2^4) would be 16. The opposite of 16, well, I guess it could be (1/16) or maybe -16, I dont
Formula:
dT/dt = -k (T-Ts) + P
The temperature inside the engine of Johns car is 65°C at 6pm, when he turns the engine off, and the outside temp, Ts = 20°C, from 6pm to 6am the next morning. At 9pm t
I have a problem that gives me this info:
a 17 inch across circular hole
2.5 bags of concrete is used
each bag makes 1800 inches^3
I need to find the depth of the hole
Also need help with this
Ho
An examination is being held in two parts and there are 572 examinees in all. 3/11 of the total number of examinees appear in part 1 only and 3/13 appear in part 2 only. The rest appear in both parts.
