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Trace the curve 𝑦 = 8/4-x^2 , and state all the properties you use to trace it.
1.How much charge does a particle have if it's electric field intensity at a point 10.0cm away is 5.20x10³N/C?
2.The primary winding of a transformer has 1000 turns while it's secondary winding has 500 turns.
A. If the input voltage is 220V, what is the output voltage?
B. Suppose that the current in the secondary is winding is 0.5A, what current flows in the primary winding?
Research has shown that 55% of new Small Medium Enterprises (SMEs) are started by graduates while 45% are started by non-graduates. It is also known that 70% of SMEs started by graduates are successful i.e. they survive beyond 3 years, while only 10% of those started by non-graduates are successful. Required: a) What is the probability that a new SME is successful? b) What is the probability that a new SME is successful and it was not started by a graduate? c) If it is known that a new SME is successful, what is the probability that it was not started by a graduate?
1. Two charges, +3.00mC and - 2.00mC, are separated by a distance of 5.00cm. What is the magnitude of the force they exert on each other? Is this repulsive of attractive?
2. An alpha particle moves 0.003m along the direction of an electric field of magnitude 1.00x104 N/C. An alpha particle has a charge of +2e and a mass of 6.68x10-²7 kg and e is equal to 1.60x10-¹9
A. What is the work done on the alpha particle?
B. If it was initially at rest, what is it velocity after moving 0.003m
The rational function f( 2/-2×-5)
A .Find f¹(×)
B. Find the equation of the line of symmetry of f¹(×) and f(×).
A population consists of six values (6, 9, 12, 15, 18, and 21). (with illustration)
e. Determine the mean, variance and standard deviation of the sample mean.
Determine the area of the given curves
1 . 𝑦2 = 2 𝑥 ; 𝑦 = 𝑥 − 4
2. 𝑦 = 𝑥 − 𝑥2 ; 𝑦 = − 𝑥
. A point charge, q= 5x10-6 C and m=1x10-3kg, travels with a velocity of 30 m/s then enters a magnetic field: B = 1x10-6 T.
A a. What is the kinetic energy of the point charge?
b. What is the magnitude of the magnetic force that acts on the charge once it has entered the field?
c. What is the magnetic force vector exerted on the charge just as it enters the field?
d. Why does the magnetic force exerted on the point charge not change its kinetic energy?
1. A population consists of six values (6, 9, 12, 15, 18, and 21). (with illustration)
e. Determine the mean, variance and standard deviation of the sample mean.
2. The scores of individual students on a national test have a normal distribution with mean of 18.6 and a standard deviation of 5.9. At Federico Ramos Rural High School, 76 students took the test. If the scores at this school have the same distribution as national scores, solve for the following: (with illustration)
a. determine the mean and standard deviation of the sampling distribution of the sample mean.
- A population consists of six values (6, 9, 12, 15, 18, and 21). (with illustration)
e. Determine the mean, variance and standard deviation of the sample mean.
2. The scores of individual students on a national test have a normal distribution with mean of 18.6 and a standard deviation of 5.9. At Federico Ramos Rural High School, 76 students took the test. If the scores at this school have the same distribution as national scores, solve for the following: (with illustration)
a. determine the mean and standard deviation of the sampling distribution of the sample mean.
