If f(x) = e=, then f is differentiable at any real e x .number :Select one a. True b. False

Q: Let f (x) be a function satisfyingIf (x)| <x? for -1<x< 1. Show that f is differentiable at x = 0…

A: The solution is in step 2

Q: The function if x E Q is 0 if x E R \Q continuous at every x E R. 1 f(x) =

A:

Q: Suppose that f(x) is differentiable function such that f(1)=3 and f(1)=4. If g(x)= f(x) -, then what…

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Q: For what value of the constant c is the function f continuous on (−∞, ∞)? f(x) =      cx2…

A: The function f is defined by: The definition of the function changes at x=5So the function is said…

Q: For what value of c is the function defined below continuous on (-o, o)? – c², f(x) = { x - c², x<…

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Q: Let ​h(x)=​f(g(x)), where f and g are differentiable on their domains. If ​g(−1​)=2 and g′​(−1​)=7​,…

A:

Q: For what value of b is

A: The given function is continuous for all x&lt;0 and for all x&gt;0, because it is a polynomial…

Q: For what value of e is the function defined below continuous on (-∞0,00)? C= 9. f(x) = [cx + 1,…

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Q: Suppose that f(x) is a differentiable function such that f'(8)=7 and f(8)=1. If g(x)=cos(f(x)), then…

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Q: Let f (x) be equal to -x + 1 for x < 0, equal to 1 for 0 < x < 1, equal to –x + 2 for 1 < x.…

A: To evaluate the integral

Q: For what value of b, f(x) is continuous at every x? (a²x-2a f(x) = (12 x2 2 x< 2

A: As f(x) has two parts and both parts are continuous in given x so make continuous only at point x= 2

Q: Find numbers a and b, or k, so that f is continuous at every point. x2, ifx s5 f(x) = kx, ifx>5

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Q: If f(x) = |"(9 – t2)e dt, on what interval is f increasing? (Enter your answer using interval…

A: The function is fx=∫0x9-t2et2dt By second fundamental theorem of Calculus, f'x=9-x2ex2. Set the…

Q: For what value of the constant c is the function f continuous on (-o, o)? { Cx2 2x if x < 5 - x3…

A: Observe that, f (x) has discontinuity at x = 5.If it is continuous at x = 5, then continuous on…

Q: For what values of b is - b b + 1' g(x) x? + b, x > 0 continuous at every x?

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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: If  f is a differentiable function, find an expression for thederivative of each of the following…

A: Dear student, as per our rule in one session we can only solve the first three question from the…

Q: For what value of the constant c is the function f continuous on (-0, 0) if x < 5 f(x) ={ cx? + 8x…

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Q: Find a value of x, if any, at which f(x) = Vx – 27 is not continuous.

A: f(x) = (x-27)(1/3) To find :- Value of x where function is discontinuous

Q: Determine the following function is differentiable F (z) = e¯²

A: Cauchy-Riemann Equations: The function fz=ux, y+i vx, y satisfies the Cauchy-Riemann equations if…

Q: Suppose that f(x) is a differentiable function such that f'(8)=7 and f(8)=1. If g(x)=cos(f(x)), then…

A:

Q: Find A given that the function, f(x), is continuous at 6.f(x)={x2Ax−42x

A: For function to be continous at x=6 , it should meet this condition

Q: stead of f(x)). E

A: answer is in next step

Q: For what values of a and b is -2, xS-1 f(x) = ax - b, -1 <x<1 3, continuous at every x?

A:

Q: For function f(x,y) to have no extremum value at (a,b) is? 1) rt - s>0 2) rt – s?<0 3) rt - s? = 0…

A: To select: The condition for the function f(x, y) to have no extreme value at (a, b).

Q: If a function f is not differentiable at x = a E R, then f is not a differentiable function. True O…

A: The given statement is if a function f is not differentiable at x=a∈ℝ, then f is not a…

Q: If f:R to {0,1} and I is an interval on which f has both values , the f has a discontinuity in I.…

A: Given that f has both 0 and 1 in its range.  This means there will be some x and y values for which…

Q: If f(3) = 15, f' is continuous, and I f'(t) dt = 24, what is the value of f(4)? %3D

A: In this question, f is a primitive function and we have to find f(4). So I am providing the…

Q: Scx? + bx, 3 — х, x > 1 f (x) = X < 1

A:

Q: If f(x) = . , then f' (x) at æ = 1 is f (r) at a

A:

Q: Suppose f'(x) = c for all x, where c is a constant. Show that, for some constant d, f(x) = cx + d.

A: suppose f'(x) =c for all x, where c is constant .Show that for some constant d, f(x)=cx+d

Q: Find the constants "a" and "b" so that the following function (sin 2x, if 0<xs. sin 2x, if 0 < x < f…

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Q: If f is a positive function and f"(x) < 0 for a < xs b, show that T, < f(x) dx < M,

A: f is a positive function and f''(x)&lt;0 for a≤x≤b This tells us that f is concave down over the…

Q: For what value of the constant c is the function f continuous on (−∞, ∞)? f(x) =…

A: From the given function it can be observed that it is continuous for all values of x less than 5 and…

Q: On what domain is the function f(x) = – 4+ v–48 – 6x continuous?

A: The given function is: f(x)=-4+-48-6x

Q: 2. For which values of a is f(x) differentiable on R?

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Q: Suppose f(r) = (In z)e. What is f'(x)?

A: d/dx (f(x)g(x))= f(x)g'(x)+g(x)f'(x)

Q: Find the value of "k" , given that the following function f(x) is continuous at x = 3 OL + 8, f(x) =…

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Q: - (т + 1)с, (2х + 1)с — г? — 5, if x 1 f(x) =

A: Given the function f(x).

Q: If F(x)=∫e^(5t2) dt over interval [3x, 4x^2], what is F′(x)? (Do not include "F′(x)=" in your…

A: Given,  over the interval  .

Q: 3. For what value of b, f(x) is continuous at every x? f(x) = {, x -2

A: Given that, fx=x         x&lt;-2bx2      x≥-2

Q: If f is continuous and f(x)dx = 4, find So xf (x?)dx. %3D

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Q: Find the values of the constants a and b, that make (ах + b, ifx3 Both continuous and differentiable…

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Q: a. For what values of x is f(x)discontinuous? b. Where does f(x) have removable discontinuity?

A: The function breaks at x=-3 and and x=2.

Q: (e) If f(x) is continuous at x = 0, then what is the value of n: if 20 if x=0 f(x)=\ 38

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Q: Suppose that f: R→R is a differentiable function, satisfying f(4)=3 and f(x) dx=6.

A: Given data: The first condition given is f(4)=3. The second condition given is ∫04f(x)dx=6. The…

Q: de fined as F(X) = P(X f(t) for – a <x < a. - t<a

A: Here f(t) is probability density function of x.  Where -a&lt;x&lt;a.

Q: For f(x)=sin⁡x/2cos⁡x−1, at what values in the interval [−π,π] is f discontinuous?

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Q: Find the value of constant c, if f(x) is continuous at x = 2 [cx? + 2x if x 2 -

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Q: Let f be a differentiable function. If h (x) = (2 +f (sin x)) ',which of the following gives a…

A: Derivative: - The spinoff formula is one in all the foremost elementary notions in calculus, and…

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Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.