Homework Statement
Given the equation dy/dx = y^4 - x^4, y(0) = 7, determine whether the existence/uniqueness theorem implies that the given initial value problem has a unique solution.
Homework Equations
Existence/Uniqueness Theorem
The Attempt at a Solution
To my understanding, you must...
3.40125 × 10^-9 is indeed the correct answer! It was my calculator that ran out of displaying digits to properly show the number. Thank you for your time.
3.0E-9 is the result my calculator gives me, although the numbers may be cut-off since the calculator display is limited to 10 digits. I'll use an online calculator and see if it makes a difference
F (B->C) = G(2)(2)/(0.4^2) = 4G/0.16
F (B->A) = G(2)(2)/(0.3^2) = 4G/0.09
F (B->net) = F(B->C) + F(B->A)
Can't add these together since they aren't the same direction, so use Pythagoras' theorem:
F^2 (B->net) = F^2(B->C) + F^2(B->A) = sqrt((4G/0.16)^2 + (4G/0.09)^2)
Homework Statement
In the figure below, three 2.00 kg spheres are located at distances d1 = 0.300 m and d2 = 0.400 m. What are the magnitude and direction of the net gravitational force on sphere B due to spheres A and C?
Homework Equations
F = GMm/r^2 The Attempt at a Solution...
Homework Statement
A horizontal scaffold, of length 2.00 m and uniform mass 50.0 kg, is suspended from a building by two cables. The scaffold has dozens of paint cans stacked on it at various points. The total mass of the paint cans is 80.0 kg. The tension in the cable at the right is 830 N...