MTH281 Past Questions

MTH281

A function \\(f(x)\\)is said to be possesses a differential coefficient.
Answer: differential

W(fV(c) = f(b) – f(a)/ Wleft ( b – a Wright )\\) Answer: mean value theorem

Evaluate\\(\\lim_{x\\rightarrow 2}{\\left ( xA{3}+3x^{2} Wright )}\\)
Answer: 31

If \\(f(x,y)\\) is a function and \\(f_{xy} = f_{yx}\\) then the property of partial differential equation holds.
Answer: commutative

When functions are expanded at say \\(x 0\\), we have expansion.
Answer: maclaurin

‭ ‬formula may also be applied to a differential equation to obtain a relation between successive differential coefficients.
Answer: leibnitz’s

A single valued function is said to be continuous at \\(x – a\\), if conditions are satisfied.
Answer: 3

Suppose \\(S_{n} = a_{1 }+a_{2}+a_{3}+.. .+a_{n}\\)denotes nth sum.
Answer: partial

The first term in the Maclaurin’s series expansion of \\(f(x) = eA{3x}\\) about \\(x = 0\\) is
Answer: 1

When functions are expanded at say \\(x a\\), we have expansion.
Answer: taylor

Suppose \\(f(x) = x+3\\) then \\ (\\lim_{x\\rightarrow 4}{\\left ( f(x) Wright )}\\)
Answer: 7

\\(tanx\\)is discontinuous at the point \\(x a\\)
Answer: \\(0\\)

Evaluate W(\\lim_{x\\rightarTow -4}{\\left ( – x^{2}+2x+2 Wright )}W)
Answer: \\(-6\\)

The point where a function is not continuous is called the point of .
Answer: discontinuity

The differential \\(\\frac{\\mathrm{d} A{4}y} {\\mathrm{d} x^{4}} \\) of a function \\(y = f(x)\\)
Answer: 4th

The function \\(f(x) = sinxW) is discontinuous at \\(x = ?\\)
Answer: 1

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