Find the value of the constant c that makes the following function continuous on (-o, co0). cb + 8 f(b) = cb -8 if b e (-o, 3] if b E (3, co)

Q: Let f (x) =e*· cos(x²). what is the correct result of the derivative of fwith respect to x? @…

A: Product rule of differentiation:     Chain rule of differentiation:

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Q: Find the value of the constant c that makes the following function continuous on (-∞, 0). cs +5 if s…

A: The function is continuous over the interval if both the left hand limit and the right hand limit is…

Q: Find for the following function. dx 6 cos x y = 6-5 cos x dx

A: To find the derivative of y.

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A: Given that fx=4e-xcosh(cosh)(x)+x2 To find the first derivative at x=0.8 using central difference…

Q: ation: tanh’(x² + 3y 3

A: We have to find dydx of following equation. tanh3(x2+3y3)+ex2y4=3        ........(1)

Q: 3 Let f(x) = 2 + In(bx), where b is a positive constant. Find f'(x).

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Q: For what value of the constant c is the function f continuous on the interval (-o, 0o). - Scr+ 3z, I…

A: Explanation of the answer is as follows

Q: Find for the following function. dx 5 cos x y= 6-7 cos x dx

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Q: Find the value(s) of k that makes the function continuous over the given interval. 0 sx s2 2 < x s…

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Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for r 2

A: Please see the the answer below.

Q: At what points are the functions continuous? y = cos x/x

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Q: 2 If f is continuous and f(x) dx = 14, find | xf(x?) dx.

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Q: 2. k) Show that fe2) = function is analytic %3D t'+s for Rez 70.

A: Calculate the limit: lim∆z→0fz+∆z-fz∆z=lim∆z→0∫0∞e-tz+∆zt2+1dt-∫0∞e-tzt2+1dt∆z…

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Q: 7. For what value of the constants A and B is the function f continuous on (-0o, 0)E AV-x+6-1 for x…

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Q: 6. f(x) dx = 2, find If f is continuous and xf(x2) dx.

A: given f is continuous and ∫09 f( n) dx = 2 we have to find ∫03 xf (x3) dx = ? we solve this by the…

Q: For what values of a is the following function continuous for all x? Show the work. a²x +4a if x >…

A: See the attachment.

Q: xf"(x) dx. Suppose that f(1) = 3, f(4) = 6, f'(1) = 6, f'(4) = 4, and f" is continuous. Find the…

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Q: Q5: Differentiate the following: a. f(x) = In(3x + 2)5 b.y = (2x* + 1)tanx c.f(x) = etan(2x) %3D

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Q: to verify thiIS 1 For which values of a ER is the function ax? f(x + iy) = (ax- ary) + i + ay 2 an…

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Q: Consider the function f : RH→ R defined by f(x) = 2e(2z+5) log(2r+5) + If f convex or concave ? Why…

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Q: Find the intervals in which the function f(x)=sin (log,x)+cos(log,x)is decreasing.

A: By the first derivative test, a function is decreasing if its derivative is less than zero.

Q: 8. If f is continuous and f(x) dx = 12, find f(2x) dx. 0.

A: Given f is continuous and ∫08f(x)dx=12

Q: Find a value of c that makes the following function continuous at x = 0. Explain why the value of c…

A: Given that, f(x)=15x-5sin3x2x3, x≠0c,                          x =0 The function is continuous when…

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A: The given function f(x) - f(x) = x cosxDifferentiation on both sides with respect to 'x' to get the…

Q: 3. For what value of a, f(x) is continuous at every x? Sx2 – 1 2ax x 3 f(x) =

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Q: Q5: Find for the following functions: (4) y = x sinh 2x cosh 2x (3) y = e* sin² x In√x

A: The given functions,3) y=exsin2xlnx4) y=xsinh2x-12cosh2x

Q: 25 If f is continuous and f(x) dx = 12, find xf(x?) dx.

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Q: '49 If f is continuous and f(x) dx = 18, find | xf(x?) dx.

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Q: d rb If ƒ is a continuous function, what is the value of | f(x) dx? Explain your answer. dx

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Q: 9. If f is continuous and f(x) dx = 14, find f(2x) dx.

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

A: Given f(x) is continuous and differentiable at x = π/6

Q: For what value of the constant a is the function continuous on (-0, 0). for r 1 f(x) ax a =

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Q: Find the values of x where the tangent line is horizontal for f(x) = 3x- 2x-9. %3D O A. x-0, x= ОВ.…

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Q: Find the values of a and b such that the following function a² cos(x − 2) — 26(³-x), if x 2, is…

A: Topic = Limits

Q: Find the constant a such that this function g(x) is continuous on the entire number line.

A: Given,

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Q: x20 is continuous at x-0, then a = a+sinx If the function f(x): 2+2acosx x<0 a. 1 b. -1 O c. 2 d. -2

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Q: Find a nonzero value for the constant k that makes the function (tan(kx) x < 0 f(x) = Зх + 2k?, x 2…

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Q: Q21\ Find the value of (B) that make the function below continuous at x=0, tan 5x f(x) = x=0

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous at x=0, when

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A: 9. y =cosx nth derivative and n is divisble by 4  it means n is even number 4,8,12...ny so lets…

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A: I have stated the used formula in the solution

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A: We will see the graph of secx to judge the value of greatest integer function of secx.

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A: f(x)=cosπx2

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A: A). A piecewise function is: fx=2x≤1xx&gt;1 Graph for this piecewise function is: B. Given function…

Q: .3 Suppose that f is a continuous function and that f(x) dx = 6. Find f(3x)dx.

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Q: Find the linearizationsof the following functions at x = 0. tan x

A: Linearization is tangent line at a point x=atangent equationy-y0=mx-x0m=f'a