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In a series RL circuit, L = 4H, R = 100 ohms and E = 200V . Find the values of current as a function of time. Assume that the initial current is zero. Find the current when t = 2 secons.
An inductance of 1 henry and a resistance of 1 ohm are connected in series with a constant e.m.f. of E volts. If 10 A after 5 seconds, find E
An inductance of L Henrys and a resistance of 10 ohms are connected in series with e.m.f. of 100 volts. If the current is initially zero, and is equal to 9 amperes after 1 second , find L and find the current after 0.5 second
the curve y = f(x) has a y-intercept of 3. the tangent to this curve at the point (x, y) has an x-intercept of x+2. What is the equation of this curve?
Find a partial differential equation by eliminating a and b from the equations
z^2 = ax^3 + by^3 + ab.
Find a partial differential equation by eliminating a and b from the equations of
z = ax + (1 − a)y + b.
An inductance of 1 henry and a resistance of 1 ohm are connected in series with a constant EMF of E volts. If the current is initially zero, and is equal to 10 A after 5 seconds, find E.
Brine containing 3 lbs./gal of salt enters a large tank at the rate of 2 gals / min and the mixture well stirred leaves at 1.5gal / min. If the tank contains initially 100 gal of water, with 4 lbs. of dissolved salt.
a ) Find the amount of salt in the tank at any time t in minutes .
b ) Find the amount of salt in the tank after 4 minutes.
Use the Bisection method with 3 iterations to find solutions for f(x) = x3 + x - 4 on interval [1; 4].
The fourth-degree polynomial
f(x) = 230x4 + 18x3 + 9x2 - 221x - 9
has two real zeros, one in [-1; 0] and the other in [0; 1]. Attempt to approximate these zeros to within
10-2 using the
(a)
Secant method(Use the endpoints of each interval as the initial approximations),
(b)
Newtons method(Use the midpoints of each interval as the initial approximation)
