Determine the values of x at which the function in Figure 18 is: (a) dis- continuous and (b) nondifferentiable. 2 3 4 FIGURE 18

Q: Consider the function if a<0 2 + I if0<I < c, g(x) = if a c where c is a positive constant. Show…

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Q: Verify the Rolle's Theorem for the function (x2-1)(x-2) on [-1,2] find the point in the interval…

A: Given function is : fx=x2-1x-2 To verify the Rolle's Theorem and find the point in the interval…

Q: Show that the function f(x) = e¯*/2 has inflection points x = f1. at

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A: The denominator can not be 0.

Q: the function f is not differentiable at x=0.

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Q: 10.Sketch graph of the following multivariable functions a. z = +1 b. + c. z² = x² ++1 y2

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Q: Find the points of discontinuity of the function f(x)=arctan1x if they exist.

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A: We can use application of derivative in order to solve the given problem.

Q: Find the Wronskian for the set of functions.{e3x, sin 2x}

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Q: if f(x) is a function that is continous at (2,f(x)) then f(x) is differentiable at (2,F(2))   true…

A: Given statement is If f(x) is a function that is continous at (2,f(x)) then f(x) is differentiable…

Q: 3) Determine A and B that makes the function continuous as x approaches 0 and 1? y A x>1 x-B x<0

A: Given:           y=x2                  0≤x≤1A                   x&gt;1x-B             x&lt;0 Given…

Q: Consider the functionf (x) = 3x² + x. Select the figure with the tangent line (blue color) at x = 1…

A: The correct figure is figure 2

Q: Find the values of a and b such that f is differentiable at r = 3 and then sketch the graph of f if

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Q: At what points is the function is continuous y=|2x-1| +4sin(2x)

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Q: Consider the function y = coth(x + 1). Which one is a critical number of this function?

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Q: Let f be a differentiable function such that f(4) = 3 and f'(x) = -3x + 3. What is the approximation…

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Q: ecos-1 x if x 1

A: If a function has to be continuous  then it must to follow below Left hand limit = Right  hand limit…

Q: Differentiate the function with respect to the independer X f(x) = +e5x + e 2 e (x) = 0

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Q: Find the points at which the function f in Figure 2.18 is continuous, and the points atwhich f is…

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Q: .Find the Global Extrema for f(x) = Bx4-BeB-A)x. Use the second derivative to determine if those…

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Q: 2. Find a function of the form y = Asin(x) + D or y = Acos(x) +D whose graph matches the graph…

A: We know that time period of sin(x) and cos(x) both are 2π

Q: Verify the Rolle's Theorem for the function (x2 – 1)(x – 2) on [-1,2] find the point in the interval…

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Q: 1. Find the discontinuity point/s of f(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 3. Sketch the graph of a function that is continuous, but not differentiable at I= 1.

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Q: 10. Find a function f such that f'(x) =r' and the line 4x - ļy = 3 is tangent to the graph of f. %3D

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Q: The graph of a function f is given. y 1 1 Determine whether fis continuous on its domain.

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Q: Find the linearization of the function at a . f(x) = sin x    , a = pie /6

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Q: Show that the function is continuous. f(x) = cos(x 2)

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Q: At what points are the functions continuous?

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Q: make a sketch of the given function on the interval[0,∞).

A: Given: To Plot:

Q: Locate the absolute extrema of the function on the closed interval. f(t) = ₂, [3,5]

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Q: g(x) = sec(x) %3D

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Q: find a point c satisfying the conclusion of the MVT for the given function and interval.

A: Given ,y = Cos x - Sin x      0,2πf(x) = Cos x - Sin x

Q: Suppose that f is a differentiable function with f(2) = 5 and f'(2) = 7. Let h(x) = f(e*). Find an…

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Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 16/x on the interval [0,…

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Q: 4. Show the function f(2)=21m(z) is differentiable or not differentiable at any points.

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Q: Suppose that f is differentiable function at x= 3and f (3) = 0, f (3) =1. Then lim f(h+1)- f(7-h*)…

A: Given x=3 f'3=0 f''3=1 -1limh→2 fh+1-f7-h2h-2200Using L.Hospital rule .limh→2…

Q: Aen vity # 2 BLs auss ME! t) flx):1 Xスー 2.

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Q: At what points is the following function continuous? 6x tan 3x y = x2 +2

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Q: Draw the graph of a continuous function f(x) where f(-1) = 0, f(3) = 0, 2. but there is no value cE…

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Q: Sketch the graph of a differentiable function y = ƒ(x) through the point (1, 1) if ƒ′(1) = 0 and a.…

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Q: 1. Explain what it intuitively means for function f(x,y) to be continuous in some domain D.

A: To explain the meaning of the given statement.

Q: Show whether the following function is continuously differentiable: f(x,y)=x2y2

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Q: mx – 11 if x – 4 If f(r) is a function which is continuous everywhere, then we must have Preview

A: A function f(x) is continuous at a point x=a, if, limx→af(x)=f(a).

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Q: Let A(x) = | f(t)dt where f is the function given by the graph below. 3- -1 3 -2 -3 00 to

A: We have this graph A(x)=∫0xf(t)dt We have to find A(1) and A'(1)

Q: 10.3.13. f(x, y) = xy ln(x² + y²).

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