Let f:R-R be defined by f(x)= if xERQ if xe Q A Find x>2 such that w, (x)=4 (enter your answer in decimal form with three significant digits after the decimal point).

Q: Show that the function is harmonic and analytic w=3Z² + 4iZ

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Q: find f(2021) if function f satisfies following the function f(1)=1 and f(x+y)= f(x)+f(y)

A: we have given f(x+y) =f(x) +f(y) and f(1) =1. We have to find f(2021)

Q: Find f-1 if f (z) = iz + 1.

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Q: select all input valuesfor which f(x)=3

A: The given function is f(x)=3. Compute all the inputs of the given function as follows. Note that,…

Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: Let f(x) = x and I = [0, 1]. If P is the partition given by P = {0, 1/8.1/4, 1/3, 2/3, 3/4, 1} and…

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Q: What type of discontinuity does the function f(x)=xsecx have?

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Q: Let f(x) = x + 3 if x ≥ 5, 8 if x < 5. Find f(12) - f(-12).

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Q: Use the IVT to show that f (x) = x3 + x takes on the value 9 for some x in [1, 2].

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Q: Let f : R → R, where f(n) = 5 . Answer the following questions. 7x²+3*

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Q: Let n be a positive integer. Define the function fn(z) by dzn (2²+2x+2)". Find the value of fn(-1 +…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: Find the domain of the function (x) = 1/∣x + 3∣

A: The given function is fx=1x+3. To find the domain of function. Solution: The given function is…

Q: Gonorhea is spread by sexual contact, takes 3 to 7 days to incubate, and can be treated with…

A: Given: The rate of change in the number of men infected by the disease is dydt=-ay+bf-yY. Here, y…

Q: If y = f(x) is the solution of y" – 9y" +26y' – 24y = 0, f(0) = 4, f'(0) = 15, f" (0) = 44, then

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Q: x*+8x-20 f(x) = x-9

A: The function is given  by f(x) = x2+8x-20x2-9 To evaluate : The values of x for which f(x) = 0

Q: let f(x)= 5/x +-8/4x+1. Determine the values of x for which f(x) = -2

A: Given that f(x)=-2  We plug this and find x

Q: Let f(x) = 6x + 6 ƒ-¹(x): =

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Q: Let f(x) be the function 1. Find the following: x + 1 f(6) f(- 6) = 1 11 11 12 (-) 1/5

A: Given, f(x)=xx+1-1 and we have to find the value of f-12 Concept used: BODMAS rule and simple…

Q: Form the PDE by eliminating the arbitrary functions from the relation z = f(xy)

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Q: 5. Find the domain of the function: y = In () x-4

A: y=lnx-1x-4