Below is the graph of a function f(x). Let g(x) = S, f(t)dt. %3D Then for 0

Q: The above is the graph of the derivative f '(x). How many critical points does the original function…

A: From the graph of function f'(x), number of roots of f'(x) are three. Let f'(x)=ax3+bx2+cx+d

Q: 53. Is the function given by Sx + 1, for x << 4, f(x) -x + 7, for x 2 4, continuous at x = 4? Why or…

A: Given a function, f(x)=x2+1,      for x&lt;4-x+7,     for x≥4 To find whether the function is…

Q: f(x) = at x = 1 X-2

A: A polynomial function is always Continous in its domain

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: Suppose that f(1) = 10 and the graph of the derivative of f is shown below. 6 5 4 y = f '(x) 2 1 3…

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Q: 1. Given the graph of f', the derivative of f, locate all extrema of f. JUSTIFY. Minimum at x =…

A: To find the minima and maxima from the graph of f'(x)

Q: - Is the function given by G(x) = Why or why not? continuous at x = 0?

A: We know that function is continuous only if its left hand and right hand limit equal, That is ,…

Q: 4. The graph of f' (x), the derivative of f of x, is continuous for all x and consists of five line…

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Q: 51. Is the function given by G(x) 1 continuous at x = 0? Why or why not?

A: Given: Gx=1x To check whether the given function is continuous at x=0

Q: Given that  f  is a function of  x, which of the following statements is false? a) When  f  is not…

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Q: 2. Differentiate the following function: y = Jo tan 2x Hs dt. 1+t3

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Q: Suppose that a steel company views the production of its continuous caster as a continuous income…

A: Given data  Suppose that a steel company views the production of its continuous caster as a…

Q: Answer the following questions about the function whose derivative is f'(x)=(x-5)^2(x+7). a. What…

A: (a) For critical points:

Q: 4. Find the range of the function F(x)=√36-t² dt O [0, 36π] O [0, 18π] O [-6, 6] O [-6, 0]

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Q: Suppose that f is a differentiable function with f(2)=5. If the tangent line to the graph of y= f(x)…

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Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: For a function f, we define the ___________________________________, denoted f’, by…

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

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Q: 1. If F(x) = - eta dt, find F(1) and F'(x).

A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: Is the function given by g(x) = x²-3x continuous at x = 4? Why or why not?

A:

Q: For function f (x, y) x2+1 Let us consider the level curve f(x, y) = 2. Does the point (1, 2) belong…

A: f(x,y) = y2/(x2+1)  Also,  f(x,y) = 2  We have (x,y) = (1,2)

Q: Two business students at Brock University decided to open a small company together to sell their own…

A: Given query is to find the the correct option for rthe graph of f(x).

Q: The graph of f', the derivative of the function f, is shown below for the interval 0<xs10. The areas…

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Q: The graph of a function f is given. YA Estimate 10 [20 1 0 1 f(x) dx using five subintervals with…

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Q: f(x): 2x at x = 4 x2-3 f(x) = V3x - 10 at x = 2

A: According to question,a. Given function,fx = 2xx2 - 3

Q: Answer the following questions about the function whose derivative is f'(x) = (x- 2) (x+ 8). a. What…

A: Given the derivative of a function: f'x=x-22x+8

Q: Is the function given by f(x) = 5X+6, for x s5, 5x-14, for x>5, continuous at x=5? Why or why not?

A:

Q: Consider the following function. f(x) -x2 - 10х - 9 Find its average rate of change over the…

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Q: Give the formula for a function which has vertical asymptotes at x=7 and x = -6 but is otherwise…

A: A function has vertical asymptotes at x=7 and x=-6 but is otherwise continuous.

Q: Answer the following questions about the function whose derivative is f (x) = x(x- 4). a. What are…

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Q: Answer the following questions about the function whose derivative is f' (x) = x(x + 3). a. What are…

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Q: The graph of the first derivative of a function is shown a) How can we know in which intervals the…

A: Here we have the graph of the first derivative of a function is shown.

Q: The derivative of f is xʻ(x-2Xx+3). At how many points will the graph of ƒ have a relative maximum?…

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Q: Suppose the linear approximation for a function f(x) at a = 3 is given by the tangent line y -2x +…

A: The given functions are

Q: Make a graph of the functionƒ(x) , for x ≥ 1. Be sure to include all of the evidenceyou used to…

A: Given:  The function fx=∫1xdtt for x≥1, To sketch: The graph of fx for x≥1,

Q: The sales of a book publication are expected to grow according to the function S= 300000(1−e−0.06t),…

A: It is given that sales of a book publication are expected to grow according to the function…

Q: 1 Is the function given by f(x) = ) 5x+1, for x s5, continuous at x= 5? Why or why not? %3D 5x- 19,…

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Consider the function fcx) = (メフチ 5 E- xet X if x >5 if メ=5 5-X S> X f! Is fe) continuous at x=5?…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Given the graph of the f(x) shown below, which one of the following statements regarding the…

A: When we take the absolute function f(x), there will be no part below x -axis, so

Q: The graph of the derivative f' of a function f is shown. y= f'(x) 2 4 6 8 For what value(s) of x…

A: When sign of f'(x) changes from positive to negative then that point is where local maximum exist…

Q: Find two paths of approach from which one can conclude that the function has no limit as (x, y)…

A: The given question is related with limits. Given that fx , y = 3y9x2 + 4y2 . We have to find two…

Q: 5. Is the function given by F(x): = x = -1? Why or why not? Vx continuous at

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Q: 3. Use the given graphs of the first and second derivative of a continuous function to answer the…

A: To find:- From given graph A. Set up a number line to represent where f'(x) is positive, zero, and…

Q: Give the graph or the formula of a function that is continuous but not differentiable at x=0.

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Q: Find the value of a which makes the function below continuous on (-∞, ∞). f(t) = [a(x²/2) x < 1…

A: We will use the definition of continuity to solve this question.

Q: *** Use the first and second derivative to sketch the graph of f(x) = In(x² +1). In particular,…

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Q: 6. Is the function given by F(x) = at x = 4? Why or why not? 1 x² - 7x + 10 continuous

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