A boat leaves a dock at 2:00 P.M. and travels due south at a speed of 20 km/h. Another boat has been heading due east at 10 km/h and reaches the same dock at 3:00 P.M. How many minutes past 2:00 P.M. were the boats closest together
the pond to remain constant? The depth of a pond at the points with coordinates (x,y) is given by h(x,y)=2x^2+3y^2 feet.
(a) If a boat at pt(-1,2) is sailing in the direction of the vector <4,1>, is the water getting deeper or shallower? At what rate? Assume that x and y are measured in feet...
I am trying to introduce time length of certain events in a spreadsheet in OpenOffice Calc, but I am faced with a problem: It reads it as time of day. Say that I write '2:23', for what I need, this means that the event I am measuring lasts 2 minutes and 23 seconds, but as soon as I write it and...
Using Taylor series or otherwise, find the limit limx->0 sin 2x(cos(x)-1)/(1-e^(x^3))
Firstly i tried le hopitals rule as it is a 0/0 limit hoping i could find the answer that way. It is strange you then get 0/1 as x tends to 0. (The answer is 1)
I then used taylor polynomials with sin 2x...
I need some advice on which class would be better for me. Either way, I have never been good at math. I completed math up until Pre-Calc but it was hard. Here are the course descriptions.
PHIL& 106 Introduction to Logic (5)
Introduces students to the quantitative
techniques used in symbolic...
A car was valued at $45,000 in the year 1992. The value depreciated to $14,000 by the year 2003.
Use the compund interest formula S= P (1+r) ^ t to answer the following questions.
A) What was the annual rate of change between 1992 and 2003?
r=_________ Round the rate of decrease to 4...
A car was valued at $45,000 in the year 1992. The value depreciated to $14,000 by the year 2003.
Use the compund interest formula S= P (1 + r ) ^t to answer the following questions.
A) What was the annual rate of change between 1992 and 2003?
r=_____________
B) What is the correct answer...
The earth is a sphere with a radius of R= 6,367,445 m. A sidereal day is 86,164.09 sec. A satellite orbits the earth in circular orbits once in exactly half a sidereal day. Gravity at an altitude of h meters is equal to g(h)=9.81 x (R/(R+h))^2 m/s^2. What is the altitude of the satellite?
...need some guidance on using them? I need a bit of a crash course on using the Ti-83 plus, iphone scientific calculator and microsoft maths software for maths in relation to 'linear equations and formulas'. Some terminology I'll be covering for my study over the next week is:
Algerbraic...
Determine if these diverge or converge. if it converges, what is the limit? Show all work please. I have a test next week...and i have no idea how u do this...I just know you need to use L'Hopital's rule, but theres also manipulation, and i duno how to do it!!!
1)An = sin^2 n/ sqroot n
2) An=...
Particle travels from t=0 to t=4 along curve:
x=(t^2)/2
y=(1/3)(2t+1)^1.5
0<or equal to t <or equal to 4
At what point (x,y) has the particle covered 1/2 the length of the curve?
please show all steps