12 Answered Questions for the topic Continuity

04/17/22

Calculus Continuity and Discontinuity Piecewise function
f(x) = { 2x - 1 : x < 0 ;;;; a : x = 0 ;;;; x+b/2 : x<0}a. Determine, if any, the values of a and b that cause f to have a limit for all x butnot continuous for one more x value!b. Determine,... more
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Continuity Math Calculus

02/13/22

Find the values of a and b that makes f(x) continuous for all values of x.
Given f(x) = {2ax^2 - 4bx + 9 ; x > 2,6ax + 3bx + 21 ; -1 ≤ x ≤ 2,-ax^2 - 5bx + 17 ; x < -1}
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02/14/21

A 0.6 ml dose of a drug is injected into a patient steadily for half a second.
At the end of this time, the quantity, Q, of the drug in the body starts to decay exponentially at a continuous rate of 0.2% per second. Using formulas, express Q as a continuous function of time,... more
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Continuity Calculus

02/02/21

For which intervals is f(x)=(sqrt(x^2-4)) / (x^2+x-6) continuous? What types of discontinuities are there in f?
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01/31/21

Intermediate value theorem question
Hi, I need to show that there at least two values of x in the interal [0, pi] for which 3 sin x - 2 cos x = xI think i need to use the Intermediate value theorem, but not sure how i would do... more
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03/11/20

Real life application limits and continuity

Hello I need this today. A real life situation of limits and continuity with problem solving, solution and function model.
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Continuity Algebra 2 Algebra Limits

03/05/20

Let f(x)=[{√-x, if x<0}{3-x, if 0≤x<3}{(x-3)^2, if x>3}]. (i) Check whether f is discontinuous. If yes, find where? (ii) Give a rough sketch of the graph of f.
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Continuity Calculus

11/19/19

Prove that the function f(x) = |x|/x for x not equal to zero, f(0) = 0 is continuous at all the points except zero
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06/06/19

Differences between reboot, remake, reimagining - is my understanding correct?
I know that reboot is a term often used by the media to mean a comeback of a franchise from scratch, but is my understanding correct of the terms:- **Reboot**: To start again from scratch, all... more
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01/24/19

Calculus (finding real value of X)
Find values of X, for which each function is continuousf(x)= (x-1) / (x^2+2x-3)
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01/03/19

What are the problem/issue in community (such as inflation) that can be portrayed/explained through one of these (limits, continuity, IVT, EVT) topics?
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06/14/15

Assing a value to the constant "k" which will make g continuous.
Assing a value to the constant "k" which will make g continuous.   g(x) = {(x^3+7x^2+x+7)/(x+7), when x is not = to -7 g(x) = { k, when x =-7   With other problems like this in the past you... more
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