1. Consider the piecewise function. xー x-2 x<0 f(x) =- %3D x>0 What is f(9) ? f(9) = %3D

Q: How can I explain what it means for a function f(x) to be O(1)?

A: The 'f(x) to be O(1)' is to be read as function f(x) is of the order of 1.  Now refer to step two to…

Q: Suppose ƒ is an even function and Evaluate

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Q: Please I want solution of question 4 with step by step. Many Thanks

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Q: he average cost function is defined in economics as C¯(x)=C(x)x, where C is the cost of…

A: Given:  C(x)=0.01x3−0.4x2+13x+400,

Q: Suppose f'(x) =x++x3 – 6x². Determine the value of x where f has a relative maximum value.

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Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 x +…

A: Given  Demand equation of x  p = -x8+26    ......... (1) Revenue function  R(x) R= p.x Putting the…

Q: 1) Find all relative extrema in the function f (x) = x 3 + 3x2 – 24x + 12.

A: For relative extrema the derivative of the function will be zero. Thus,…

Q: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)…

A: Please check step 2 for the solution.

Q: x² – 4 3. Do you agree with the contention that the functions f(x) = x+ 2 and g(x) =- X- 2 are the…

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Q: Find relative extrema functions of  f(x)= x4-32x+1

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Q: Determine critical points of the function f(x)=∣∣x2−4x+3∣∣.

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Q: Suppose that f is a linear function with slope -3.6 and that f (1) = 4. What value of x gives f(x) =…

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Q: Find a formula for the linear function f(x) with slope 2 and vertical intercept 1. f(x) =

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Q: Determine the extreme values of the ff. functions. f(x) = x^2 + 3 on [1,3]

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Q: 18. Suppose that a company produces and sells bicycles and that the start-up cost is $3000 and $75…

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Q: 1. Find the intercepts of the function. f(x)-x* +2 а.

A: Given data÷

Q: 5. Consider the function (x2 + y²)e-¯-. Provide the number of maxima of f(x, y). In case there is no…

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Q: 2. Determine the maximum and minimum value of the function f(x) = 2x' +3x² –12x + 2 over the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

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Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

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Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: If x is large, which function grows faster, f(x) g(x) = x2? %3D

A: The given function is fx=2x   and  gx=x2

Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 4, (15,…

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Q: . If x is large, which function grows faster, f1x2  2xorg1x2  x2?

A: To determine for the large values of x, which of the functions f(x)=2x and  g(x)=x2 grows faster.

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: [A: 3] 12. Analyze the differentiability of the function ( 2x5 + 6x + 1 , x>1 l2Vx + 8 , f(x) = at x…

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Q: 1. Determine if the function is even or odd g(x) = x³ +x, f(t) = 1 + cost

A: Given function are gx=x3+x and ft=1+cost. To determine whether function is even or odd. Solution: A…

Q: 21. Suppose f(x) = G and g(x) = v2**. Find the x-value for which the two functions are equal.

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Q: Does knowing that a function ƒ(x) is differ-entiable at x = x0 tell you anything about the…

A: Given:Does knowing that a function ƒ(x) is differentiable at x = x0 tell you anything about the…

Q: Find ao of the function f(x) =(n -x)2 Ο 5πλ2/12 TI^ 2/12 Ο 5π'2/6 Ο π. 2/6 Ο Ο 0 Ο

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Q: f(x) = is the range in which the function is decreasing.

A: fx=exx Differentiating with respect to x, we get f'x=dexdx·x-dxdx·exx2…

Q: The daily cost of producing x high performance wheels for racing is given by the following function,…

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Q: dont understand the fourth and fifth row of equation of gh(x) and why the function is invalid?

A: Solution

Q: х2 — 4 3. Do you agree with the contention that the functions f(x) = x + 2 and g(x) х — 2 are the…

A: f(x)=x+2 gx=x2-4x-2=x-2x+2x-2=&gt;gx=x+2

Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

Q: Suppose f'(x) =x++x3– 6x². Determine the value of x where f has a relative maximum value.

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Q: If x is large, which function grows faster, f(x) = 2x or g(x) = x2 ?

A: Given,            fx=2x or gx=x2To find : if x is large, then which function grows faster.

Q: Suppose that f is a linear function with slope 2.2 and that f(5) = -3. What value of x gives f(x) =…

A: We have to find out x value for which f(x)=0

Q: A researcher believes that if x thousand individuals among a susceptible population are inoculated…

A: Given: I(x)=aRx-b R=0.9

Q: Find the maximum and minimum values attained by the function: f(x) = x +-

A: Here the given function as fx=x+5x or fx=x2+5x Differentiate with respect to x…

Q: The interval in which the given function is decreasing is at 3 points y = x3 – x2 – 5x - 4 (-00, -1)…

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Q: 3. Do you agree with the contention that the functions f(x) = x+2 and g(x) x-2 are the same in every…

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Q: Suppose that f is a linear function with slope 2.4 and that f(5) = -1. What value of x gives f(x) =…

A: Consider a linear function f with slope 2.4 and f(5)=-1 .

Q: 4) Where is the function g(x) = 3x2 -x+ 5 differentiable?

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Q: Find the local and absolute extreme values of the function on the given interval. f(x) = x - 6x² +9x…

A: The given function is: f(x)=x3-6x2+9x+2, [2,4] Now, let…

Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,

Q: Q4) Find the local and absolute extreme values of the function on the given interval. 1. f(x) - x' -…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…