Assume that d and e are constants and, 3 - f, if f <1 ) = { df²+ef. { z(f) = if f < 1

Q: Let f : R R:f(x) = 10x + 7. Find the function g : R→R such that gof = fog = IR. %3D %3D

A: Given f: R -&gt; R  such that f(x) = 10x + 7 and  g : R -&gt; R such that g o f = f o g = IR

Q: Let D. be the linear transformation fromc (a, 6] into cla, e). Find the preimage of the function.…

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Q: f= (2xy+ 3x²)ē+ (x² – 2yz + 2y)ē, – (e² + y²)ēz

A: Given

Q: p+q Consider the function f(p, q, r) = w = 2. af with p = v²w³ + u, q = w³ + v², and r = uv³ + 1.…

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Q: 3. Compute the value of F.dr if F = -yi + xj and C is a semicircle from (-1,1) to (1,-1).

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Q: The set of functions S = span{e™" | n e Z} separates [0,1]). True False

A: S=span{enx |n∈Z}

Q: F· dr, where F(x,y) = –lj, and C is the part of the graph of y = - x from (2,2) to (–2, C

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Q: Let f(æ1, x2, X3)=(x1³ + x2, x1? + x3). Find df(1,2,3) (-3, –2, –1)

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Q: Let f(x) = Væ. Find a value of c in [6, 14] such that f(c) is equal to the average of f on [6, 14].…

A: Consider the given function.

Q: Tell whether the following functions are linearly dependent or linearly independent using the…

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Q: [Q1] The relation between the independent variable x and y obtained by performing experiment is…

A: Given: The relation between the independent variable; x 1 3 10 16 26 36 y 42 50 75 100 150 200…

Q: Let P₂(x) be the Lagrange interpolating polynomial for the data (1,0), (1.5,y) and (2,3). Suppose…

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Q: Calculate fo F. dr for F = (x+y, x - y) and C, the unit circle traversed counter-clockwise. Does…

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Q: Find the value of a,b ∈ R ,so that the following sets of functions are linearly independent for all…

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Q: Let u > 0 be harmonic in R². Show that u is a constant.

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Q: [CLO2] If the function y=ax° to be written in the linear form Y=A+BX, what are Y, Х, А, В? a. Y=y,…

A: Given function y=ax^b To be written in the form of Y=A+BX.

Q: Let xj = xo + hj for j = 0, 1, 2. Use the quadratic polynomial interpolating f at those nodes to…

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Q: Compute Fx, fy, and fz for the function and evaluate them at the indicated points

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Q: Determine which of the following functions are one-to-one. OA. f: R² R2 defined by f(x, y)= (x + y,…

A: Note - According to answering guidelines I will solve the first three parts. Pls post the other…

Q: Which of the following subsets of functions of the set {eª, e²ª, 2eª, 2} is linearly dependent on R?…

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Q: 2. Let f= L(X,Y). Show that ƒ is one to one iff (f(x).(x)....(x)) is linear independent when (x,x)…

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