Answer the following True of False: x < 0 The function f(x) is equivalent to the absolute x > 0 value function f(x) = |x| %3D OTrue O False

Q: . Find the value of a that makes the following function differentiable for all x-values. Jax, if x…

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

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Q: Find a general formula for f (n)(x). f (x) = xe−x

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Q: Find the value of the constant c that makes the following function continuous on (-o, c0). x? - c if…

A: we have to find the value of constant c that makes the following function on (-∞,∞) f(x)=x2-c…

Q: a function Is defined as f (x) = 2x +3, find the value of f (4). E (4)

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Q: Find the critical values of the function below. **x-24x? 8 -x³–24x² f(x)

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Q: a+11 if a 10

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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: Explain why f(x + h) – f(x - h) 2h should give a reasonable approximation of f'(x) when f'(x) exists…

A: Explain why fx+h-fx-h2h should give a reasonable approximation of f'(x) when f'(x) exists and h is…

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: Given the function f(x) =4x³– 39x²+90x +2, which of the following describes its absolute extrema at…

A: Given that, The function is following, f(x) = 4x3 - 39x2 + 90x + 2 We have to find the absolute…

Q: Find the value of the constant c so the function f is continuous on ( – x, 0) where сх + 3 if x 4

A: The objective is to find the value of the constant C so that the function f is continuous on R.

Q: At what value of x does the function f(x) =3 x-Vx change from decreasing to increasing? 1/9 1/8 1/3…

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Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

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Q: For what value of the constant c is the .! function f continuous at x-3 |cx – 2 , if x 3 2 -1 -2 1

A: If function is continous then,limx→n+ fx =limx→n  fx = fnat point nso at given point x=3limx→3+ fx…

Q: Express the given quantity as a function f(x) of one variable x. the perimeter of a rectangle of…

A: Given length = x  width= y

Q: Find the absolute extreme values of the function on the interval. 3) f(x) = In (-x), -5 s x s -1

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Q: For what value of the constant c is the function f continuous on (-00, 00)? cx2 + 2x if x < 5 f(x) D…

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Q: 1. Use the function f(x) = 4x°e* to answer the following problems: (a) On which interval(s) is the…

A: The given function is: fx=4x3 ex (a) To find the interval in which the function f(x) increasing?

Q: Find the absolute extrema of the function on the closed interval.

A: Given function - f(x) = x3+6x2To find the absolute extrema we need to find the critical points…

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 continuouson  (∞,-∞)?

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Q: Find the absolute Extrema of given Function, on given interval and state where those values occur.…

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Q: 1) The function f(x) = x + 4 is odd True O False

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Let f(x) = e*. What is f' (3)?

A: Differentiate wrt x

Q: Find the absolute Extrema of given Function, on given interval and state where those values occur.…

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Q: 3. For f(x) = x? – 2, find the following: a. f(x+h)

A: 3. a. Given Data: Function: f(x)=x2-2 For f(x+h), Substitute x+h for x in the given function.…

Q: Question 2

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Q: Find the values of a and b that make f continuou s everywhere fcx) = X2 -4 X-2 if x<2 ax? -bx+3 if…

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Q: For what value of x does the function g(x) =--x³ + 2x? strictly concave downward? А. x> 2 В. х>1 С.…

A: Use the property of strictly concave downward i.e.g"(x) &lt;0.

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: If f(x) = |x|, then f(−1) = 1 and f(3) = 3 but f'(x) is never equal to f(3) − f(−1)/3 − (−1)=1/2.…

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Q: Evaluate f'(x) at x =2 given f(x) = ÷(x² - 3)“ 2 - (A B 1 © 4 D none of the given choices E 2 3.

A: Given: f(x)=14(x2-3)4

Q: Evaluate f'(x) at x =2 given f(x) = (x² – 3)ª A B 2 © 1 none of the given choices E 4

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Q: Find the absolute Extrema of given Function, on given interval and state where those values occur.…

A: here we have to find absolute Extrema of the given function,  f(x)=x2+1x+1.............(1)   ;…

Q: (b) For what values of the constants c and d is the function continuous and differentiable for all…

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Q: Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x2 − 4/x − 2 are the…

A: I am not agreed with this fact that f(x) and  g(x) are the same in every respect. The reason behind…

Q: Consider the function f(x)=/25-x² . Is L(x) an overestimation or an underestimation of ƒ(x) near…

A: Differentiate the function fx=25-x2 with respect to x, to find f'(x) and f''(x). Calculate f(3) and…

Q: Find the absolute extrema of the function on the closed interval. F(x) = x³ -?, (-1, 4] 2

A: Given,            fx=x3-32x2 , -1,4To find : Find the absolute extrema of the function on the closed…

Q: For what value of c is the function below continuous at x=-3? f(x) = { c  when x=-3 1 when x = 1…

A: The function                     f(x)=c                       when x=-31                       when…

Q: Are the functions f= O(g) and g= O(f) true if the positive functions f(x) and g(x) increase at the…

A: Given data:     The given expression for the first function is: f=O(g). The expression for the…

Q: 38. At what value of x should the function f(x) = In(x – 4) approach to so that f(x) will be as…

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Q: Find the absolute extrema of the functions on the given interval. (a) ?(x) = 4 − 3x; (−1,2] (b) ?(x)…

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Q: For what value of the constant c is the function ff continuous on the interval (−∞,∞).

A: c=5 Answer and explanation is given below

Q: Consider the function f (x) = 0+3 As the values for x continue to increase to positive infinity,…

A: Given: f(x)=xx+3

Q: The domain of the function f(x) - cosh 19) + cosh™( 19 -–) is [A, 360) Then The value of k = The…

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Q: Solve the following using the given functions below f (x) = x3 + 3x2 + 2x, h(x) = *+2 x+1 a) (h +…

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Q: sketch the following. Include the max and min, interval increase/decrease concavity. inflection…

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Q: Find the absolute extreme values of the function on the 11) F(x) = 0.5 s x s 2 x2

A: We first find the critical values by solving F'(x)=0 F(x)=-2x2F(x)=-2x-2F'(x)=-2(-2)x-3F'(x)=4x3For…