(ii) An efficiency study of the morning shift at a certain factory indicates that an average worker arriving on the job at 7:00 A. M. will have assembled f (x) = x' + 6x? + 15x units x hours later. Approximately how many units will the worker assemble between 8: 00 and 8: 15 A. M.? Q2. (x2 – 3x (1) Discuss the continuity of the function f(x) = (2x + 4 if x < 2 if x2 2 on the open interval 0 < x< 2 and on the closed interval 0

Q: -x² + 2x +1 ,x1. If the function f(x) is continuous on Real number, then find values of b and c.

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Q: B) Test the functions continuity at the given poihts: (x²-x-6 1) f(x) 3D x * 3 ,at x 3, x 5 X-3 x =…

A: f(x)=x2-x-6x-3x≠35x=3

Q: (x – 1)2 – 4 for x 7 Find f(6)

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Q: . The domain of f(x)=3x+5+2x' is

A: We will find the domain of f(x)= 3x+5+2x3

Q: 4x + 5 9-3x The function f(x)=; is discontinuous at.x=0.

A:

Q: - h)? + k: a). f(x) = 2x² –12x+11; b) y = -r+x+:

A:

Q: if 4x Suppose that g(x) = {ax + b xS-1 if - 1<x < 2 if x2 2 Find the value of a and b such that g(x)…

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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: 5. The function f(x) is defined as: 4x3 +17x2 + 13x +36 x -4 ontinuous for all values of x. What…

A: solution:-f(x)=4x3+17x2+13x+36x+4     x&lt;-45x2+2x+a                       x≥-4f(x) is continuous…

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

A:

Q: 5. Check the continuity of r+5| 2x+10 x + -5 f(x) = x = -5 at x = -5.

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Q: (x2 + 3x f(x) = 3 – 6x if x -2 Check the continuity of the function f(x) at x = -2

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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: x+7, -4 h er. f(0) = 7. f(1) = 8, f(2) = -5, and f(3) = -10, of b

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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) =…

A:

Q: (4ах + 2b , X<1 2х — 3Ь,1 <х < 3 (2ах + 4b g(x) ,3 <x Find the values of "a" & “b" if gm is…

A: We will find the value of a and b as following-

Q: Q3) Test the continuity of the function f(x): -15x <0 0S X< 2 F(x) = 2х— 1 x+ 3 X = 2

A:

Q: 8. Suppose that the function f(x) is defined for all If f(x) f(x) = f(x + 25) for x E R, what is the…

A: The function fx is defined for all real numbers.  If f(x) = x for x∈-7,7 and fx = fx+25. Then, we…

Q: 3. Evaluate, exact answers only. Tt/3 b) (sin(0) – 3cos(0)) de

A:

Q: Q.1 Find all values of x, at which f is continuous and discontinuous. x²-9 f(x) = x-3

A: 1. Given function is, f(x)=x2-9x-3=(x+3)(x-3)(x-3)=x+3 As, the function is a polynomial function and…

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: + 3x - 6x if xs-2 if x>-2 A) Check the continuity of the function f(x) at x =-2 f(x) =

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Q: If (2 e)(1-3e-38) f(t) = C-¹ · L-₁ { (2²-0") (1 3e-1)} is continuous for t≥ 0, find f(1), f(2), and…

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Q: 5 - x, -1sxS 2 r² – 1, 2<x < 3 Discuss the continuity of g(x)

A: