2. Two smallcharged spheres are placed in vacuum on the x-axis: +3pCatx-Oand-5,Cat x-40cm, where must a third charge q be placed if the force it experiences is to be zero?
(6pts) Consider the curve given by the parametric equations x = cosh(4t) and y = 4t + 2 Find the length of the curve for 0 <t<1 M Length =
slope of the line tangent to the curve x = t3 - 2, y = 4t, at t = 2
Use MatLab to Solve x(t)=c1cos(4t)+c2sin(4t) (where c1 and c2 are constants) on the intervals t<(3pi/2), (3pi/2)<=t<9, 9<t<15 Please show all code.
Find the length of the curve x=2/3t^3 , y=4t^2 on 0<=t<=3
The position of an object is defined by the following equation: (x)(t)=5-6t+4t^2. Plot the position of x versus time.
Let dy/dt = y + 4t + (y + 4t)^2 – 4. Use change of variables u = y + 4t to find the general solution.
Can't solve the following second order differential equation: f''(x)+3f'(x)+2=4t Show full complementary function and particular integral working out, thanks in advance.
The larger of the two regions bounded by the circle with equation (x-2). (y-2). í and the line through (1, 2) and (2,3) is revolved about the x - axis. Calculate its volume.
The larger of the two regions bounded by the circle with equation (x-2). (y-2). í and the line through (1, 2) and (2,3) is revolved about the x - axis. Calculate its volume.
a horizontal pipe has a cross sectional area of 40cm^2 at the wider portions and 10 cm^2 at the constriction. if the incompresible air flowing through the pipe with the inlet velocity of 1.5m/s at the wider cross section, what will be the flow velocity at the constriction?