Find Larange’s interpolating polynomial passing through set of points
(0,2) (2,-2),(3,-1),Use it to find
at x = 2
Tom wants his balloon back to normal size so he decides to put it on a heating vent. If
the balloon initially has a volume of 0.6 L and a temperature of 293 K, what will be the volume of
the balloon when it heats up to a temperature of 176°C?
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Find the value of current if the loop has 60 μΩ and 20 V
Blocks A and B are moving toward each other. A has a mass of 6.1 kg and a velocity of 1.5m/s, while B has a mass of 1.7kg and a velocity of −9.8m/s. They suffer a completely inelastic collision. During the collision, how much kinetic energy is lost?
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).