2. Determine the given function is continuous or discontinuous at t=-2 (t² + 2 t < -2 t = -2 t > -2 If f(t) = {6 t + 8

Q: Find the value of the constant c that makes the following function co f(x) = = uous [cx + 7 cx² 7 if…

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Q: Find a particular solution yp of the following equation. Primes denote the derivatives with respect…

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Q: 4. Find the value of the constant b for which f is continuous at a = - -1 and determine f(-1). 5 x <…

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Q: Determine whether the following function is continuous at the given point z За? + 14г — 5 1 f(x)= 3x…

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Q: 2х x-1 lim X-3 6- 2х

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: mx 10 if x < - 4 Let f(x) = x² + 8x - 6 if x ≥ - 4 If f(x) is a function which is continuous…

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Q: 3. State where the function below is continuous using interval notation. if x<2 4 f(x) = 3 if x 2

A: To check whether the given function is continuous using interval notation.…

Q: 2. If function f(x) = 3²-12 is continuous at x=2, find f(x). x-2

A: We need to find f(x).

Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x#3 x-3 f(x) = k x =…

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Q: What type of discontinuity occurs at x = 1 for the piecewise function? if x <1 if 1<x 3+ x h(x) =…

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Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

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Q: Determine whether the following function is continuous at the given point x = 3 За? + 17х — 6 1 -…

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Q: 3) Consider the function defined piece-wise as follows: f(x) = 4x + 1 for x < 0 and f(x) = (4x - 1)2…

A: The function piecewise defined as follows: fx=4x+1for x&lt;0(4x-1)2for x≥0

Q: Find the value of k, if the constant k that makes the function continuous:

A: Given,          f(x)=x2+k2if x≤4kx+12if x&gt;4

Q: Find the value of the constant a that makes the following function continuous on (-∞, ∞). 5x³ + 5x²…

A: We need to find a value that makes the function continuous.

Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1…

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Q: B. Test whether the given function is continuous or not, and classify the discontinuity whether…

A: Given problem:-

Q: 4. Graph the piecewise function 3 if -1 2

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Q: 7. (a) List the condition(s) for a function to f(x) be continuous at the point x = c. (b) For the…

A: 7. The given function gx=2x+a+x+3x+2x&gt;-2x+4+bx≤-2. We have to find the values of a and b, such…

Q: Consider the function defined by f(x) = −x³ + 6x² - 10. (a) Determine the values of x for which f(x)…

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Q: b. Find c that will make the following function continuous at x = (x³ – x - 2 if x 1 - -2x

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Q: 2. Identify the type of discontinuity of the function fx* – 2, l1– 2x, -2 2 f(x) = A. Infinite B.…

A: If the left-hand side of the limit is not equal to the right-hand side limit, then the function will…

Q: 16. Find the value of the constant k so that the function f(x) = { kx-5 if 0 < x < 2; is continuous.

A: We are given a piecewise function and we need to find out the value of the constant k such that the…

Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

A: Introduction: Every complex valued function corresponds to a power series. The convergence of power…