Explain why the function 3. (z) f entise ?

Q: Describe the long run behavior of f(x) - 2? As x → - 0o, f(x) → ? As x → 0, f(x) → ?

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Q: Jxzy³ = 5 %3D

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Q: ): Apply Rolle's theorem for the function f(x) = 9x² – 36x + 27 over the interval [1, 3]. Justify…

A: Given :- Apply Rolle's Theorem for the function fx = 9x2 -36x + 27 over the integral 1,3.

Q: determine where the function is concave upward and where it is concave downward  F(x)= 5 cube root…

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Q: Differentiate the function with res f(x) = (x* - 3x) 3 f'(x) =U

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Q: Differentiate the function.      f(x)  =        ______1______                            In x

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Q: Use the Product Rule to differentiate f(s)=Vs (3- s°). |

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Q: Is it possible for a function to satisfy f(x) > 0, f′(x) > 0, andf ″(x) < 0 on an interval?…

A: We want function that is: 1. positive on interval I since fx>0   2. increasing on interval I…

Q: Explain the Wronskian of 2 functions f and g ?

A: Let f and g are the two functions. The Wronskian of the n functions is the determinant of the matrix…

Q: Differentiate the function. F(Y) : + 9y³) F'(y) =

A: Topic = Derivative

Q: What is the purpo

A: To determine: Purpose on adding h to the function.

Q: Consider f : R → R given by f(x) = x². What are the domain, codomain and range of f?

A: Let a function f : A→B thenDomain: set ACodomain: BRange: Values that comes out after putting values…

Q: Explain which the function are analytic or not: F(z) =2xy – i(x² –- y²) |

A: A function fz=fx,y=u+iv , where u and v are functions of x and y, is said to be analytic if it…

Q: la)Explain why the function fIz)= 52%_6+zcosz-z°e? is entire?

A: (a) given fz=5z4-6+zcosz-z3ez to show- the function is entire

Q: Verify that the function ƒ(x) = x4 is concave up for x > 0and for x < 0. Is x = 0 an…

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Q: Let f be function f(x)=9x2. Whats the Average rate of change between x=1and x=3:

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Q: Find the relative extrema of the function, if they exist. f(x) = 1 %3D

A: Given,          fx=x2+1x2

Q: Can you apply Rolle's Theorem to f(x)=x^3?    Please explain.

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Q: Differentiate the function. f(x) − 186.5

A: Our Aim is to differentiate the function given below:-f(x)-186.5-(i)

Q: x+1 3 y = x–1

A: Given:  y=x+1x-13    Differentating with respect to xdydx=ddxx+1x-13        =ddxx+13x-13      Using…

Q: Please Help For sigmoid function φ ( x ), prove that φ ′ ( x ) = φ ( x ) ( 1 − φ ( x ) )

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Q: Explain why f(x)=sinx is an odd function.

A: We have to explain the given function is odd function: fx=sin x We know for odd function it must be…

Q: Use the linear approximation of the function f(x)=sqrt(9-x) at a=0 to approximate the number…

A: We know that the linear approximation of f at a is L(x)=f(a)+f'(a)(x-a). Here, f(x)=9-x and a = 0.…

Q: se the product rule to evaluate f(x)g(x)| at x =

A: Given that: f(x)=2x3-8g(2)=5g'(2)=-3

Q: Describe the shift of the function f(x) = Vx – 1 – 4 from the parent function f(x)=vx .

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Q: What is the equation of the function that is obtained from f (x) = ⎷x by shifting 1 unit to the…

A: If we shift f(x)= sqrt(x) 1 unit to right then we get f(x)=sqrt(x-1)

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

A: Differentiate wrt x

Q: Describe the long run behavior of f(x) = x* As x → ∞, f(x) → ? As x → 0, f(x) → ?

A: This question is about function behaviour near infinity

Q: Differentiate the function. 1 f(x) = In .4 %3D f'(x) = %3D

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Q: What does it mean to plot A as a function of B. What will be on the y-axis and x-axis and why?

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Q: Determine if the function f (z) = y + xi is analytic. you must show detailed work

A: we have to check if the function  f(z)=y+xi

Q: Investigate when, historically, the use of the function notation y=f(x) first appeared.

A: Given, Investigate when, historically, the use of the function notation y=f(x) first appeared.

Q: X- e.

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Q: How to use the standard y = f(x) notation to indicate that (a, b) is an element of the function f?

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Q: Explain and sketch how a function can have f ''(a) = 0 at (a, f(a)) and not be an inflection point.

A: It is given that f''(a)=0 at (a, f(a)). The objective is to explain and sketch how a function can…

Q: What is the rangqe of this function?

A: The given graph of the function is:

Q: What effect does a horizontal stretch or compression have on the y values of a function? W effect on…

A: Horizontal Stretches and Compressions When we multiply a function’s input by a positive constant, we…

Q: | Compute the value of f(0) when f(x) = |æ|. Explain why f cannot b (iii) 1 f.

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Q: Differentiate the function with respect to the independent variable. f(x) = 2x° In xº f'(x) =O

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Q: What are the Algebraic Functions?

A: algebraic function

Q: w do I differentiate the function f(z)=e^(z/(z-6))?

A: fz=ezz-6Apply the chain rule dfzdz=dfdu.dudz→1f=eu and u=zz-6dfdu=eu→2

Q: The function f is linear. Can f be an odd function? Explain how you know

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Q: What does F stand for/ represent?

A: F test mean Ronald fisher test  It is one of the method to solve test statistics

Q: find the derviative of the function in the picture  show all work

A: Here, we use the chain rule of derivative that derivative of (f(x))^n is n[f(x))^(n-1)]f'(x) and…

Q: What happened to the V shaped function of |x| when it transformed to |x + 3

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Q: What is the domain of the function f(x) = |x|? 0 (-∞,∞) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

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Q: What is the domain of the function y = 3sin–1(2t)?   Can you explain how to think about the above…

A: The given function,

Q: 1,575 + 76 f(b) What are a reasonable %3D domain and range for the function?

A: We have to  reasonable domain and range for the function.