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The differential equation
dy/dx= cos(x)(y^2 +6y+8)/(6y+16)
has an implicit general solution of the form F(x,y)=K
In fact, because the differential equation is separable, we can define the solution curve implicitly by a function in the form
F(x,y)=G(x)+H(y)=K
Find such a solution and then give the related functions requested.
F(x,y)=G(x)+H(y)=
A sound wave of frequency 300Hz travels with speed 340 m/s along the negative x-direction . Each point of the medium moves up and down through a total distance of 5.0 mm. Determine the necessary parameters to represent the wave mathematically.
Solve the following differential equation:
(7x+8y)dx+(8x-2)dy=0
The differential equation dy/dx = 25+20x+40y+32xy
has an implicit general solution of the form F(x,y)=K
In fact, because the differential equation is separable, we can define the solution curve implicitly by a function in the form of F(x,y)=G(x)+H(y)=K
Find such a solution and then give the related functions requested for
F(x,y)=G(x)+H(y)=
A random sample of size 36 was taken from a population distributed as Nμ,3.92.The value of the sample x was 15.6. i. Find a 90% confidence interval for μ. (5mks)
It is believed that value of μ is 17. Use your confidence interval to comment on this belief.(2mks)
Draw the cis- and trans- forms of 1,3-dimethylecyclobutane. Which one of these
(i) will be polar in nature?
(ii) has higher melting point?
Explain your answer giving reasons.
In the year 1918 a flu like disease occurred in Spain and spread to the rest of the world. This year 2020 another similar flu like disease has occurred in china and is spreading in the whole world. Researchers have found that the likelihood of the disease occurring again is 0.01.Determine the average number of flus in the next 300 years and the likelihood that in the next 300 years, the disease will occur at most five times.
Two judges in a beauty contest rank the ten competitors in the following order.
x 6 4 3 9 2 7 1 5 10 8
y 4 1 6 7 5 8 2 3 9 10
Do the two judges appear to agree in their standards? (6mks)
Seven students went on a diet in an attempt to lose weight, with two of them losing weight while all the others added weight. Is the diet is an effective way to losing weight α=1% (5mks)
You are given an electricity project for the calculation of amount for the consumed electricity units for every one month.
1) For the electricity units (0-200) is 50 paisa per units.
2) For the electricity units (201-400) is 65 paisa per unit. For the first 0-200 consumed units charge is 100 rupees, if the consumer consumed greater than 200 and less than or equal to 400 unit, then for each unit charge is 65 paisa.
3)For the electricity units (401-600) is 80 paisa per unit. For the first 0-400 consumed units charge is 230 rupees, if the consumer consumed greater than 400 unit and less than or equal to 600, then for each unit charge is 80 paisa.
4)For the electricity units above 600, the price for each unit is 80 paisa. For the first 0-600 units charge is 390 rupees, if the consumer consumed greater than 600 unit, then for each unit charge 1.50 paisa.
Case= Test 1
input=
123
100
output=
Electricity Amount to be paid is:50.00
Case= Test 2
input=
124
300
output=
Electricity Amount to be paid is:165.00
