An album is considered to be "certified platinum" if they sell more than 500,000 copies. Let X be the total number of copies of an album sold, in thousands. Let ƒ(x) = 400 and Sx = [500, ∞) x3

Q: Find c such that the function 10 г c - || 26 х > с is continuous everywhere. c =

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Q: Let f(x)=ln(2−x2). Find all values of c in the open interval (−1,1) such that f′(c)=0.

A: Here given function Since the is differentiable in the interval (-1, 1) then it is also continuous…

Q: Find the value of c such that the domain of                                                     f(x)…

A: f(x) = c-x2for domain of f(x)c-x2≥0x2-c≤0

Q: Graph the function f(x) = u₂(x) ln x + u5(x) (ln(10 − x) – In x) -

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Q: Let f(x)=x2+2x. Find all values of c in the interval [−2,0] such that f′(c)=0.

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Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

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Q: If f(x, y) = In (2x-3y), then find of ||

A: We can solve this problem using partial derivatives.

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: Find f(x) iff, (p) Hence deduce F .

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Q: Find the constants a and b such that the function is continuous on the entire real line.

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Q: Determine the values of a and b such that the function (x -a ,x 1 Is continuous of all values of x.

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Q: Find the value of c such that the domain of f(x) = √(c − x2 )   is [−5, 5].

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Q: find a formula for the linear function f(x) that satisfies f(5)=7 and f(0)=-3

A: Given information:f(5)=7 and f(0)=-3

Q: Find the constant a, or the constants a and b, such that the function is continuous on the entire…

A: Given function is f(x)=x3, x≤2ax2,x>2

Q: (c) Show that f(x)>0 for all values of x, x # -2.

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Q: Find the constant a such that the function is continuous on the entire real number line. S x + 5, x…

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Q: Find the value of a, b, c and d if f(x) is differentiable (asinx – bcosx + x f(x) = x2 + 3 4 > x > 0…

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Q: Find the absolute maximum and minimum, if either exists, for the function on the indicated interval.…

A: The given function is: f(x)=x4+4x3-4

Q: Find the points c (if any) such that f '(c) does not exist. f (x) = x2/3

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Q: Let f(x) =x² t2X. Find all the values of ċ in the interval [2,0] such that f (c) =0.

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Q: find constants a and b such that f(2) +3 = f(0) and f is continuouspiecewise f(x) = ax + b , if…

A: We have been given a piecewise function and a condition f(2)+3=f(0) and the fact that f(x) is…

Q: Let A(x) f(t)dt, with f(x) shown in the graph below. -3- ** * T?

A: As per the fundamental theorem of calculus, given a function A(x)=∫0xf(t) dt, the derivative of this…

Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

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Q: The domain of the function /1- a² – y² ln(a² + y2 – 1) is empty. True False

A: We have to check

Q: Find functions h and g such that (h o g)(x) = (x³3 + 2x – 1). -

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Q: Find (go (x), given that g(x) - e nnd f(x) -

A: Given that:gx=ex and fx=x3To find: g∘fx

Q: Given the continuous function x² + 10x + 8, x 0 If a line L touches the graph of y = f(x) at three…

A: The continuous  function  f(x) = x2 +10x +8,   x≤ -2 f(x) = ax2 +bx +c,   -2<x<0 and a≠0 f(x)…

Q: the interval in which the root exists for the function f(x) = x² – 16=0 - is Оа. [3,5] O b. [0,2] O…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Given g(x)=−2x2 +x−1, find the absolute maximum over the interval [−2,4].

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Q: The domain of the function f (x, y) = In(2 – /x² + y² ) is:

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Q: Show that f is linear of slope m if and only iff(x + h) - f(x) = mh (for all x and h)

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Q: Determine the interval(s) on which x² + 2x-3 > 0. O a) x>1 b) -3 1

A: We want to find the interval which satisfy given inequality.

Q: Find the critical numbers of the function f (x) = 2x3 + x? + 2x

A: Given:            f(x)=2x3+x2+2x

Q: Find the value of c such that the function is continuous on the entire real number line. f(x)=…

A: Topic = Functions

Q: Find the area of a triangle bounded by the x-axis, the line f(x) = 12 – 1 / 3 x, and the line…

A: Given:

Q: Find c such that the function ² - 4 x c is continuous everywhere.

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Q: If f(x) = a #0 and f is continuous, the value of k is 2x k x = 0 o 1 o 1 2 1/2

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Q: let f(x) = on interval 0<x<2n, find a 2

A: See the attachment

Q: Given h(x) = -2x² + x + 1, find the absolute maximum value over the interval [-3, 3].

A: To determine the absolute maximum minimum.

Q: Let f(x) = Vx - 1 g(x) = v2- x obtaind )(x), and the domain of (x),

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Q: f(x) = x – 3x² + x – 7 is continuous everywhere. - false true

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Q: Find the constant a, such that the function is continuous on the entire real line. ( 2x², f(x) = if…

A: Given the function is f(x) = 2x2,if  x≥1ax-1,if  x&lt;1

Q: Express ax? + bx + c as a linear combination of the functions f(x) = 5, g(x) = 4x, and h(x) = -x²,…

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Q: Let A(x) = f(t)dt, with f(x) shown in the graph below.

A: Given that: Graph of f(x)

Q: Given h(x)=−2x2 +x+1, find the absolute maximum over the interval [−3,3].

A: We have to find absolute maximum function  of h(x). h(x)  is given below

Q: Find c such that the function x c is continuous everywhere. x² – 8 f(x) = {

A: ANSWER : c = 5