(p²+1)² ; P € C\ {+i, -i}

Q: Find a pair of functions f and g and an interval [a, b] such that fg a

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Q: Find b, if the function f(t) = t?.

A: This is a Fourier analysis question. Lets solve it.

Q: Find ao of the function f(x) = (n - x)² O T^2/6 O 5 T^2/12 O T^2/12 Ο 5 πΑ2/6

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Q: The function f(x) = 2x + 6x? - 5x + 1 is concave upward on the interval O None (-0, c0) (-1, c0)…

A: Given, y=f(x)=2x3+6x2-5x+1 In this we have to find differentiation of function till when all the…

Q: O Find a, b to Continue The function ãt X=3 if x > 3 X = 3 ax+b flx) = 2a-b+1 bメーム+3 メく3

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Q: Find the absolute extrema of the function (if any exist) on each interval                       f(x)…

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Q: If the function f:R →R given by f(x) = x' + ax? + bx + 5sin? x is an increasing function, find the…

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Q: Find the increasing and decreasing of function  f(u)=ue^(u^n )+ln√(u^n+n) where n=516

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Q: Find the functions f (x), g(x),h(x) that satisfy: f(g(h(x))) = +2 x

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Q: find the domain of the given function. Vx²-2y ,2. f ( x, y ) : .A D= {(x,y) ER?: y s 2x²} .B D= {…

A: Option (B) is correct

Q: Find all functions f (t) that satisfy the given condition. f'(t) =t2 - 5t - 7

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Q: Use a formula to express w as a function of t if w = s/s+4 and s = t2 + 2. w =

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Q: find functions f and g so that f ∘ g = H.

A: given: Hx=1-x2 we have to find the functions f and g so that f ∘ g = H.

Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

Q: Use the figure to determine the interval(s) on which the function isincreasing

A: Given: Figure of the function :

Q: (a) Find the local extreme values of the function f(x, y) = 2xy – x² – 2y² + 3x + 4.

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Q: find functions f and g so that f ∘ g = H.

A: It is given that;  H(x)=x2+1 and; (f∘g)(x)=H(x)

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

A: Fourier coefficient ao

Q: Find ao of the function f(x) =(n - x)? – x)² |3D |

A:

Q: Find ao of the function f(x) =÷(n - x)2 | О п^2/12 5 T^2/6 5 T^2/12 O T^2/6

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Q: The domain for the function f(x) = -T is %3D a. x 0 O cx 2

A: Given, f(x)=-x2

Q: Use a formula to express w as a function of t if w - V4s + 5 and s- ef - 1.

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Q: .a Is the function a.EVEN b. ODD f(x) = |x|, π<x< T

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Q: sketch the graph of the given function on the interval t ≥ 0. 4.g(t) = (t − 1)u1(t)−2(t − 2)u2(t) +…

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Q: Find a functionf and a number a such that f(t) -dt = 3x-1 t6 2 + f(x) = a =

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Q: Use the formula to express w as a function of t if w= s/s+6 and s=t2+7 w=?

A: given :ω = ss+6   .... *s = t2+7

Q: Find a and b so that the function f(x) = S 4x – 7x² + 5, a -2 is both continuous and…

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Q: a) Consider the function f(x, y) = /In (4 – x² – y?). Find the domain and range of f(x, y).

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Q: Use a formula to express w as a function of tif w =s +1 and s =t- 6.

A: From the given information. The function w is as follows. The function s is as follows.

Q: Why is f not a function from R to R ifa) f (x) = 1 ∕ x?b) f (x) = √x?c) f (x) = ± √(x2 + 1)?

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Q: Find the domain of the function. s - 1 f(s) = s - 5

A: Given : fs = s-1s-5

Q: Find domain and range of the function f(x, y) = In[ e – x² – y°]

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Q: . Let h (x) = f (x) + g (x). Find a. h' (1), b. h' (3) , and c. h' (4).

A: Given Data: Function: h(x)=f(x)+g(x) The derivative of function h(x) with respect to x is,…

Q: Find the value of the composed function at the given point. If f(x) = -6x – 4 and g(x) = -2x + 4,…

A: Solve the function

Q: Use a formula to express w as a function of t if w = s2 + 1 and s = t − 8.   W=

A:

Q: Please

A: Given

Q: Let g(x) = *-f(x) S(x) find g'(1), if f(1) = 4 and f'(1) = 2 c. - d. а. 2 b.

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Q: Describe the long run behavior of f(x) AS I→ ∞, f(x) → ? v As → ∞o, f(x) → ? ✓ || H 2³

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Q: Use a formula to express y as a function of t if  y = 3x2 + 9x and x = t − 1.   y =

A: First of all, both equations i.e. y in terms of x and x in terms of t.

Q: Find the net change in the value of the function between the given inputs. f(x) = 4-5x; from 3 to 5

A: We want to calculate net change in given function from 3 to 5.

Q: The graph of f is concave upward on the interval (s) A) 01 (c) x>2 (D x 2

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Q: Determine the point of intersection of the two functions f (x) = and I+1 T-2 g (x) =

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Q: Show that a function f : [0, 1] →R is determined by its graph Gf = {(x, f(x)), x E [0, 1]} C R².

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Q: Find f •g and gof ,where f (x) = x² + 1 and g(x) = x + 2, are functions from R to R.

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Q: f(x) 10 6 4 2 -27 2л 2. 2, 3,

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Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

Q: sketch the graph of the given function on the interval t ≥ 0. g(t) = (t − 1)u1(t)−2(t − 2)u2(t) + (t…

A: Given: The function is g(t)=(t−1)u1(t)−2(t−2)u2(t)+(t−3)u3(t). To sketch: The given function. The…

Q: Find a function in the form of w= zo+ z1 r + z2 e² that best fits the following points: (-1, 2), (1,…

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Q: Find functions f and g so that f ◦ g = H, where H(x) = |2x^(2) + 3|.

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Q: Determine the point of intersection of the two functions f (x) : and ·8== = (x) 6 O a) (3,0) O b)…

A: For finding intersection between the two functions, fx=1x-3 and gx=xx-3 Let, fx=gx 1x-3…