According to newton's law of cooling, the temperature u(t) of an object satisfies the differential equation du dt = −k(u − t), where t is the constant ambient temperature and k is a positive constant. suppose that the initial temperature of the object is u(0) = u0. (a) find the temperature of the object at any time

An object is located 30.0 cm from a concave mirror. the focal length is 15.0 c,. what is the image distance? a. 30.0 cm b. -10 cm c. 10.0 cm d. -30.0 cm

The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. assume that the membrane acts like a parallel plate capacitor in which the effective charge density on the inner and outer walls has a magnitude of 7.0 × 10-6 c/m2. (a) what is the magnitude of the electric field within the cell membrane? (b) find the magnitude of the electric force that would be exerted on a potassium ion (k+; charge = +e) placed inside the membrane.

Science and technology are interdependent. advances in one lead to advances in the other. give an example of this phenomenon.