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A company manufactures and sells x televisions per month. If the cost and the
revenue functions (in dollars) are
C(x) = 72, 000 + 60x and R(x) = 200x − x2/30,
respectively, with 0 ≤ x ≤ 6, 000, what will the approximate changes in revenue and
profit be if the production is increased from 1, 500 to 1, 505? from 4, 500 to 4, 505?
5. The probability that a woman does not know swimming is 2/5. If seven women in a city are
selected at random, find probability that
(i) four women know swimming.
(ii) at least one woman knows swimming
4. A committee of 5 is formed by drawing lots from 8 boys and 6 girls. Find the probability that
the committee will consist of 2 boys and 3 girls.
A 189.3-kg and a 258.9-kg cart approach each other on a horizontal air track. They collide and stick together. After the collision their total kinetic energy is 1142.5 J. What is the speed after the collision
The number of traffic accidents per week in a small city has a Poisson distribution with mean
equal to 1.3. What is the probability of at least two accidents in 2 weeks?
how many turns of solenoid is required to produce a magnetic field having magnitude of 3.0 T upon application of 600A current if the solenoid is 8.50 m long and is having 4500 turns. ( \mu _(0)=4\pi x10^(-7)T. m/A).
A company manufactures and sells x televisions per month. If the cost and the
revenue functions (in dollars) are
C(x) = 72, 000 + 60x and R(x) = 200x − X2 / 30
respectively, with 0 ≤ x ≤ 6, 000, what will the approximate changes in revenue and
profit be if the production is increased from 1, 500 to 1, 505? from 4, 500 to 4, 505?
what is the magnitude of a magnetic field produced by a 6.50 m long solenoid and is having 3500 turns if a 555A current is applied on it? (note: \mu _(0)=4\pi x10^(-7)T. m/A).
determine the distance from a long straight wire that would produce a Magnetic Field three times that of the Earth's own field upon the application of 60.0 Ampere currents. (assuming that Earth's Magnetic Field is equal to 5x10^(-5)T and \mu _(0)=4\pi x10^(-7)T. m/A).
determine the Current in a long straight wire that would produce a magnetic field that produces a Magnetic Field four times that of Earth's Magnetic Field located at a distance 9.0 cm from the wire. (assuming that the Earth's Magnetic Field is equal to 5x10^(-5)T and \mu _(0)=4\pi x10^(-7)T. m/A).
#340153 on Dec 2023