For what value of the constant c is the function f continuous on (-∞, ∞) where f(s) = (s)²-c if s<7 c(s) +7 if s≥7 S C=

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: Solve the Bernoulli equations y' - y = -y2

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Q: -3 For what value(s) of x is the function f(x) = 2x+4 (x²+x+1 NOT continuous? A. C. x = -2 only x =…

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Q: If f(x) = x² - 2x +3 when x > 1, and f(x) = x when x ≤ 1, then f(2) + f(0) = 1 Do 3 -1 2

A: Given query is to find the value of the function.

Q: (b). Show whether (*) is continuous at *=-2, if (3x-2 for x = -2 S(x)=. x? - 4 х- 2 for x * -2

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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: 9. For what value of the constants A and B is the function A√x+6-1 for Br² +2 f(x) = 2 Ar + B f…

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Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: Determine if the following are functions of x. (a) X y 8 12 16 20 (c) LO y = 5 ---Select--- 0 5 (b)…

A: Use definition of function

Q: 5. If f(2) = 5 and f (-1) = -4, find a and b in the function f(x) = ax + b

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Q: For what value of the constants A and B is the function f continuous on (-∞, ∞)? A√x+6-1 for x 3

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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: O D. 2x + 2x+4 Find f(-x) when f(x) = 2x-2x+4. OA. O A. 2 +2x-4 O B. -2x +2x +4 OC. -2x + 2x-4 O O O

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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: For what value of k will the function f be continuous on (-0,0)? x² –100 f (x) = { * if x + -10 =…

A: Continuous function should not have any abrupt (sudden) changes.

Q: Find the constant c that makes g continuous on (-0;0) x-2x-8 g(x) = a+1 if x+2 if X=-2

A: Continuity of a function at a point x=c : If function is defined at x=c and limx→c fx=fc then we can…

Q: Determine where the function f(x) = O A. (-∞, ∞) 1-00 O B. O C. O D. 3 3 3 (-∞0,²21) U ( 212,00) N/W…

A: we have to find out the values of x where function is continuous.

Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: 4. The function y= h(x) is differentiable and decreasing for all real numbers. On what intervals is…

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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…