HSC Commerce कक्षा १२ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Solve (x² + y²) dx + 2xy dy = 0

Solve `x ("d"y)/(d"x) + 2y = x^4`

A manufacturing company has found that the cost C of operating and maintaining the equipment is related to the length ’m’ of intervals between overhauls by the equation `"m"^2 "dC"/"dm" + 2"mC"` = 2 and c = 4 and when  = 2. Find the relationship between C and m

Solve (D² – 3D + 2)y = e^4x given y = 0 when x = 0 and x = 1

Solve `("d"y)/("d"x) + y cos x + x = 2 cos x`

Solve x²ydx – (x³ + y³) dy = 0

Solve `("d"y)/("d"x) = xy + x + y + 1`

Using graphic method, find the value of y when x = 48 from the following data:

The following data relates to indirect labour expenses and the level of output

Estimate the expenses at a level of output of 350 units, by using graphic method.

Using Newton’s forward interpolation formula find the cubic polynomial.

The population of a city in a censes taken once in 10 years is given below. Estimate the population in the year 1955.

In an examination the number of candidates who secured marks between certain intervals was as follows:

Estimate the number of candidates whose marks are less than 70.

Find the value of f(x) when x = 32 from the following table:

The following data gives the melting point of a alloy of lead and zinc where ‘t’ is the temperature in degree c and P is the percentage of lead in the alloy.

Find the melting point of the alloy containing 84 percent lead.

Find f(2.8) from the following table:

Using interpolation estimate the output of a factory in 1986 from the following data.

Use Lagrange’s formula and estimate from the following data the number of workers getting income not exceeding Rs. 26 per month.

Using interpolation estimate the business done in 1985 from the following data

Using interpolation, find the value of f(x) when x = 15

Choose the correct alternative:

For the given points (x₀, y₀) and (x₁, y₁) the Lagrange’s formula is