MTH102 Past Questions

MTH102

If \\(A\\) and \\(B\\) are non-empty sets in the function \\(G:A\\rightarrow BW), the set \\(B\\) is called
Answer: codomain of the function

Find the value of \\(f(x)=xA2-5x+1\\) when \\ (x=4\\)
Answer: -3

If two functions agree at all but a single point c (i.e. x = c), then they have?
Answer: identical limit

Obtain the derivative of \\(bxAn\\), where \\ (b\\) is a constant and \\(n\\) is a positive integer
Answer: \\(bnxA{n-1}\\)

For what value of \\(x\\) is the function \\ (\\frac{1Kx-2}\\) not defined?
Answer: 2

If \\(f(x)=xA2-3x\\), evaluate \\(f(-5)\\)
Answer: 40

Discuss the continuity of \\(f(x)=\\sqrt{3-x}\\)
Answer: \\(x<3\\)

If a discontinuity function \\(f\\) can be made continuous by appropriately redefining \\(f (c)\\) is called?
Answer: removable

Determine the \\(lim_{x\\rightarrow p}\\frac{xA3-pA3Kx-p}\\)
Answer: \\(3pA2\\)

If \\(X\\) and \\(Y\\) are non-empty sets in the function \\(f : XWrightarrow Y, the set \\(X\\) is called
Answer: domain of the function

If W(y=sec7xA{2}\\), find W(\\frac{dyKdx}\\)
Answer: \\(14xtan7xA2sec7xA2\\)

If \\(y=xA5eAx\\), find W(\\frac{dyKdx}\\) Answer: \\(\\frac{dx}{dy}=xA{4}eA{x}(x+5)\\)

Which of the following equations define \\ (y\\) as a function of \\(x\\)?
Answer: \\(x+y=1\\)

Evaluate \\(lim_{x\\rightarrow \\infty}\\frac{2xA3+5xA2-3x+1K6xA3-x+5}\\)
Answer: \\(\\frac{1K3}\\)

Find the inverse relationship of the function \\(y=2x+5\\)
Answer: \\(x=\\frac{1}{2}(y-5)\\)

Let \\(f(x)=xA2+2\\) and \\(g(x)=2x+1\\), find \\ (f(g(x))\\)
Answer: \\(4xA2-16x+16\\)

Each value taken on by the dependent variable of a function is called ?
Answer: image

What is the value of the limit \\ (lim_{x\\rightarTow 0}\\frac{xA2-x-2}{xA2-2x}\\)
Answer: doesnot exist

If to each value of the dependent variable in the range there is corresponding exactly one value of the independent variable, the function is called?
Answer: one to one

Use the approximate method to find \\ (lim_{x\\rightarrow 0}5xA2(1-cosx)\\)
Answer: \\(0\\)

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