Math Answers

The equation of the plane passing through the point (1, –2, 4) and perpendicular to the line, whose direction ratios are 2, 4, –1 is

How much money does a typical family spend at McDonald’s per visit ? The amount is a normally distributed random variable with mean $ 17,9 and standard deviation $3,55. What is the amount below which only 10% of families spend at McDonald’s ?

A circuit has in series an electromotive force given by E=40-sin35tV, a resistor of 10Ω, and an inductor of 0.4H . If the initial current is 2 , find the current at time t>2.

Interior and exterior walls of a rectangular 80,000 square foot building cost 90$ per running foot. The building is to be divided into 10 rooms by four interior walls in the x direction and one interior wall in the y direction. What should be the building dimensions if the wall cost is to be minimum.

It is reported that software developers need an average of 10 months to develop a software.

Assuming that the time taken by software developer is normally distributed with a standard

deviation of 2.3 months. Given that the probability that a developer needs to develop a

software more than c months is 0.985. Find the value of c.

Find the solution of the recurrence relation

an = 4an−1 − 3an−2 + 2

n + n + 3 , a0 = 1 and a1 = 4

Find the height of a trapezoid with area of 99m2

 and the bottom base is twice the top base, 

which measures 6m.

What proportion of this sample would you expect to have heights between 160 and 170 cm?

Solve the following Second Order equation with constant co-efficient

y’’ - 6y’+25 y = 0.

Solve the following second order non-homogenous equation:

y" + y = sin (2x)

Solve the following Bernoulli's initial value problem differential equation:

6y’ — 2y=xy⁴ y(0)=–2

Solve the following initial value problem equation:

2x²y" + 3xy' 15y = 0, y (1)=0 y' (1) = 1

Section: 1 of 1 Question: 3 of 7 Marks forthls Question: 10 a

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An analysis of the data of the partially destroyed dairy are

variance x=8 and the least square regression lines for the

random variables are 3x 4y = 20, 12x — 8y = 62. Find

the following basis of above infonnation:

(i) Mean value of x and y.

(ii) Correlation co-efficient between x and y.

(iii) SD of x and y.

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