For what value of the constant c the function f continuous on (-o, co)? S cx? + + 9x if x < 4 f(x) = - cx if x 2 4

Q: Find the antiderivative F(x) of f(x)=x/3(12x2-6), given F(1)=5

A: An anti derivative of a function f is a differentiable function, whose derivative should be equal to…

Q: For what value of the constant c is the function f continuous on (-00, 00) ? S cx? + 8x RX) = {-x x3…

A: The given function will be continuous when limx→3+fx=limx→3-fx.

Q: Suppose f(x) is the function such that for a > 0 we have f(x) = (e" – 1) In(x) and for x < 0 we have…

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Q: He)=(x+2)e f has absolute extreme values on ?

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Q: Find f(x).

A: Given,

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: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

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 value of the constant c is the function f continuous on ( - 0, 00) where cx + 6 if a 7

A: Given      fx = cx+6            if x≤7cx2-6          if x&gt;7To find      Value of c where function…

Q: For what value of the constant c is the function f continuous on (-o0, 00) where S cx + 6 if x E…

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Q: For what value of the constant c is the function f continuous on (-o, co)? ( cx2 + 8x if x < 3 f(x)…

A: Given: For what value of the constant c is the function f continuous on (-infinity, infinity)

Q: For the function f(x) = x³ – 3x – 1, write Newton's %3D - formula as xn +1 = F(xn) : f(xn) for = xn…

A: We have to solve

Q: 3sin-1x, if -1< x< 0 f(x) = x2+ Tt if x20 x+cosx'

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Q: For what value of the constant c is the function f continuous on (-0o, 00)? { ca? + 2x, if x 2.

A: Given: fx=cx2+2x,x&lt;22x+4,x≥2 We know that any given functionfx will be continuous at x=a if,…

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: | xf(x2) dx. If f is continuous and f(x) dx = 4, find

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Q: For f(x, y) = sin(9xy) evaluate fz at the point (2, 4

A: Answer is mentioned below

Q: cx +5 f(x) = for x 2

A: Explanation of the answer is as follows

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 f'(x) = x°, what is f(x)? (Use C for the constant of integration.) 1 9 x° + c f(x) =

A: If f'(x) is the derivative of a function f(x), then the integration of f'(x) is equal to f(x).…

Q: Find f′(x) and f′(c). Function f(x) = x cos x Value of c = /4

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

Q: For what value of the constant c is the function f continuous on (- o, 0) wh- cx + 7 if x 8 C =

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Q: For what value of the constant c is the function f continuous on ( – ∞, ∞) where S (2)² – c -c if r…

A: Given

Q: 4) If F(x)= } d, then F'(x)- sin t

A: Note : According To our guidelines we can solve only first question and rest can be reposted.Thank…

Q: For what value of the constant c is the function f continuous on (-o, co) where = { cy+5 if y € [8,…

A: The given function will be continuous if  LHL=RHL   =&gt; Left Hand Limit = Right Hand Limit…

Q: Plot the function f(t) 5 sin(x)3x for -5 <xs 10. 5 1. x+e-0.75x

A: Since you have asked multiple questions, we will solve first question for you. If you want any other…

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(1) = -0.6, f'(x) is continuous, and f'(x)dx = -12.2, what is the value of f(4)? %3D

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Q: df If f(x) = e" In x, then, when x 1, is dz nonexistent O 1/e O 2/e e

A: Answer is below

Q: 49 |'xf(x?) dx. If f is continuous and f(x) dx = 16, find

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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: off f(x) dx, where Evaluate [ f(x) f(x) dx = f(x) = 18x², -T≤x≤0 19 sin(x), 0≤x≤T.

A: We have to solve given Questions.

Q: 2. If f(x) = 2x – 1 and p(x) = = cos (x). Find x, for 0 < x < 2n, if (f •p)(x) = -2

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Q: If  f is continuous and  ∫09 f(x)  dx  =4  find∫03 xf (x2)  dx,

A: Given that,

Q: Which one of the following is an antiderivative of the function f(x)=sec² (2x+1)

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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: Find the extreme values for the function f(x) = x + sin x on the interval [0, 27).

A: This function is unbounded below and unbounded above, Therefore the function has no global extreme…

Q: Find fogo h. f(x) = 3x – 4, g(x) = sin(x), h(x) = x²

A: Answer is mentioned below

Q: Q5) Find f((s) if you know that g(x) = cos(x² – 1). S(x) = 3tan(x*) at vr?

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: If f(1) = 13, f' is continuous, and F'(x) dx = 18, what is the value of f(6)?

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Q: For what value of the constant c is the function f continuous on the interval (-oo, oo). Sz² - 9, 8z…

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Q: For what value of the constant c is the function f continuous on the interval (-o, 0). f(x) = { x² -…

A: we have to find c

Q: The function f : XI→ a + b cos x, is defined for 0 sxs 2n. Given that f(0) = 10 and that f (n) = 1 ,…

A: The range of a function is the values that can be obtained from the function by substituting all the…

Q: Suppose we know that f(x)dx = 2 and g(x))dx. S g(x)dx = 7, find the exact value of S°F (x) %3D

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Q: Find f'(x). f(x) = 9x" - 2 ex r'x)=| (Type an exact answer in terms of e.)

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Q: For what value of the constant c is the function f continuous on ( – 0, ∞) where | cy + 2 if y 4 -

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Q: For what value of p will r) be continuous? x-4 for x S2 %3D 2x + 3p for x> 2 f(x) =

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Q: If f(1) = 11, f' is continuous, and f(3) = f '(x) dx = 18, what is the value of f(3)?

A: Given

Q: Let  f(x) = cx + ln(cos(x)).  For what value of c is  f '(π/4) = 9?

A: Consider the given function, fx=cx+lncosx first differentiate the function using chain rule as…