continuity, Mathematics

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give me some examples on continuity

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An even function, Assume that   i)  Determine all the roots of f...

Assume that   i)  Determine all the roots of f(x) = 0. ii)  Determine the value of k that makes h continuous at x = 3. iii)  Using the value of k found in (ii), sh

Show that the function f is one-one but not onto, Consider the function f: ...

Consider the function f: N → N, where N is the set of natural numbers, defined by f(n) = n 2 +n+1. Show that the function f is one-one but not onto. Ans: To prove that f is one

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Using two variables, Leo works at the Bagel Shop after school and on Saturd...

Leo works at the Bagel Shop after school and on Saturdays. He is paid $4.00 per hour after school and $5.00 per hour on Saturday. Last week Leo worked a total of 12 hours and made

Solve the linear equation, Solve the linear equation: The equation rel...

Solve the linear equation: The equation relating the pressure that is denoted by P, to the force, F & the area, A, over which the force is applied is P =F/A.  Solve this equat

Theory of equations, If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(...

If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(r+2)=

Counting, how do i count by 45s

how do i count by 45s

The mean value theorem for integrals, The Mean Value Theorem for Integrals ...

The Mean Value Theorem for Integrals If f(x) is a continuous function on [a,b] then here is a number c in [a,b] thus, a ∫ b f(x) dx = f(c)(b -a) Proof Let's begin

How many different combinations could she form these item, Wendy has 5 pair...

Wendy has 5 pairs of pants and 8 shirts. How many different combinations could she form with these items? Multiply the number of choices for each item to find out the number of

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