Solve the differential equation:
dT/du = -15u^2,T(0)=5
thank you so much-integrate to get T(u)= - 5u^3 + C
use initial condition to get 5= - 5*0^3 + C to get C=5
T(u)= - 5u^3 + 5-T(u) = -5u^3 + C
solve this system by elimination and determine how many solutions the system has; i.e. (one solution, no solution, infinite many solutions):
16x + 14y = -148x + 7y = -15
Show work please and explai
Use definite integrals to find the area bounded by the given curves.
1. y= x^2 and y=2x
2. y^2 = 4x and x=1 (hint integrate with respect to y)-Step 1: Determine the intersection points and select th
Find an orthogonal basis for span(u,v,w) that includes u.
u =
v =
w =
Im very lost here. Do I have to use the gram-schmidt process for all three of these vectors?
Any help provided is greatly app
At a cattle pen at the county fair, Jody counted 65 heads and 236 legs. How many cattle and how many workers were there in the pen at that time?
Thanks so much in advance!-p+c=65 (head)
2p+4c=236 (le
OKay, so there are two 30-60-90 triangles who both share 8 as their hypotenuse
Are they similar AND congruent triangles? or JUST congruent?-all congruent figures are similar.similar is same shape.cong
The function is f ( x ) = (cos 2x) sqrt(1 + 4(sin 2x)^2)
How do I integrate it?-Start out by substituting:
u = sin(2x) ==> du = 2cos(2x) dx.
This gives:
∫ cos(2x)√[1 + 4sin^2(2x)] dx
= 1/2 ∫ √[1 + 4
I posted this once, Im just looking for different answers. Show work please.
x^2 + 650^2 = 825^2
Also, tell me how sure you are that its the right answer! Thanks!-x^2+650^2=680625
x^2+422500=680625
Apply exponent rules to simplify:
(-2x^2y^-3z)^3 (only positive exponents should be in answer)
(2x^-3)(2x^4) (only positive exponents should be in answer)
Perform operation and simplify :
2x^2+3x-8-(
Calculate the directional derivative of the given function f at the point a in the direction parallel to the vector u
f(x, y) = (e^y) cos(x),
a = (π/6, 0)
u =(i − 2j) /√5
I know im supposed to fin
It says:
A bus usually transports 12000 riders per day at a ticket price of $1
It wants to raise the ticket price, but for every 10 cents increase, the # of riders decreases by 400
a) What ticket pric
With the initial value y(0) = -1 / sqrt(2), the solution is: y = -sqrt[ (x² + 1) / 2 ].
How to solve it?-y = [x(x² + 1)]/(4y³)
dy/dx = (x)(x² + 1)/(4y³)
(4y³) dy = (x)(x² + 1) dx
Integrating both s
Is it possible for the modern super computer to calculate and store the result of the above mathematical problem.-Since 1 billion has 9 zeroes, multiplying 1 billion times a billion a billion times wo
3^(7x+1)=7-3^(7x + 1) = 7
take the log of both sides...
(7x + 1) log 3 = log 7
7x log 3 = log 7 - log 3
x = [log 7 - log 3]/(7 log 3)
Get out your calculator...make a contribution...read your tex
