Tutors Answer Your Questions about Complex Numbers (FREE)
Question 1039180: A passenger train can travel 245 miles in the same amount of time it takes a freight train to travel 200 miles. If the rate of the passenger train is
15 MPH faster than the rate of the freight train, find the rate of each.
Set up a table and solve using an algebraic equation. Write write a complete sentence answer.
How do I even begin to start ?
Thank you
Click here to see answer by jorel555(1290)  |
Question 1039277: Set up and solve using an Algebraic Equation. Write in a compete answer.
A water tank can be filled in 10 hours by an inlet pipe and emptied in 15 hours by an outlet pipe.
How long will it take to fill the tank if both pipes are left open?
Click here to see answer by solver91311(24713)  |
Question 1039497: lim (x, y) -> (0, 0) 
I am having a hard time knowing how to solve this properly.
Simply plugging in the values doesnt work.
Neither does factoring.
Which lead me to try y=0 [then solve], and x=0 [then solve].
if  , then I end up with 
if  , then I end up with 
Because the two answers dont match up, I am led to believe that the limit does not exist (DNE).
----
Then, as I was looking through my notes I noticed another method that my teacher suggested we try. It involves transforming the polar coordinates (replacing  with  and replacing with 
Upon doing this I ended up with:
lim r-> 0
r (cos sin theta) + (sin^3 theta) = 0
So does the limit exist? Or is it zero?
Click here to see answer by Edwin McCravy(20056)  |
Question 1039533: Set up a table and solve using an Algebraic Equation.
A passenger train can travel 245 miles in the same amount of time that it takes a freight train to travel 200 miles. If the rate of the passenger train is 15 MPH faster than the rate of the freight train. Find train.
I have Let r=rate of the freight train
r+15 rate of the passenger train.
t= time
d=rt
Passenger train
245=r+15(t)
245=rt+15t
Freight Train:
200=rt
245=200+15t= 45=15t = 3
200=r(3)= 66.7
66.7 freight train
81.7 passenger train.
Is this correct ?
Thank you
Click here to see answer by Alan3354(69443)  |
Question 1039918: Suppose we have a graph of parametric equations x=bsin(t), y=b(cos(t))^3 on where t is on [0,2pi].
A. Find the point(s) on the given graph where the slope of the tangent line is 3/4. (Find t values not x,y values)
B. Determine the area, in terms of b, of the region enclosed by the graph.
Click here to see answer by solver91311(24713) |
Question 1039917: Suppose we have a graph of parametric equations x=bsin(t), y=b(cos(t))^3 on where t is on [0,2pi].
A. Find the point(s) on the given graph where the slope of the tangent line is 3/4. (Find t values not x,y values)
B. Determine the area, in terms of b, of the region enclosed by the graph.
Click here to see answer by robertb(5830)  |
Question 1040090: Write the following complex nr in polar form - No calculator to be used:
1. 7^(1/2)+21^(1/2).I
2. -5+12i
write complex numbers in rectangular form and sketch representation in Argand diagram:
1. 4 cis 120 degrees
2. 9 cis (3pi/2)
Click here to see answer by solver91311(24713) |
Question 1041089: You have a thin plate in the first quadrant of the x, y-plane. Its boundaries are  and  , and
its density is ρ(x, y) =  g/cm^2
(a) Set up and calculate a double integral for its area A.
(b) Set up and calculate a double integral for its mass M.
(c) Set up and calculate double integrals for its moments Mx and My of mass.
(d) Where is the center of mass of this plate?
(e) Calculate the average density of the plate.
(f) Calculate the moments of inertia  ,  , and  of the plate.
Click here to see answer by AnlytcPhil(1806)  |
Question 1041237: HI. I have two questions.
Use the product rule to multiply:
√7x * √6y (square root 7x multiply square root 6y)
IS the correct answer: √42 √xy (square root 42, square root xy) ?
second question:
√20 * √5x (square root 20 multiply by square root 5x)
Is the correct answer :
10x
Thank you
Click here to see answer by jim_thompson5910(35256) |
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