Let f(z) = 4r- 12x +7 then f(r) is decreasing on Select one: O a (-00, -1), [12, o0) Ob [1,0) O c.[-1,1] Oa (-0, -1], [1, 0) 00,-1], [1, 00)

Q: dx Evaluate f- +1) using the Cauchy principal value.

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Q: For what values of k will the set of ordered pairs ((1,10),(2,9),(3,8),(4,7),(k+2,6)} represent a…

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Q: For what values of n will the set {(1,3),(2,5),(n-1,1),(n,7),(n+ 1,0) represent a function?

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Q: Which among the folowing reletions are considered as functions? (You need to choose all the ccrrect…

A: Find your answer below

Q: a. Find all functions from {0, 1} to {1}. b. Find two relations from {0, 1} to {1} that are not…

A: We have the domain is A=0,1 and the range is B=1 First we find the relations from A=0,1 to B=1: The…

Q: I (Inx)³ nx-X

A: Let u and v be the function of x  Then∫uvdx=u∫vdx-∫(dudx∫vdx)dx

Q: 4x – 7y x - 2y Add: х — Зу - 3 Зу — х'

A: Given: 4x-7yx-3y+x-2y3y-x For adding given expression, we take L.C.M. and simplify it

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: (x/x-3 ≤-7 or x − 3 ≥ −6] terval notation.

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Q: A={0,1,2,3,4}, B={2,3,4,5} and f={(0,3), (1,3), (2,4), (3,2), (42)}. State the domain and range of…

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Q: Find x and y such that,  77815x - 8216y=(77815 , 8216

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Q: f(x) = x^3 - 9x^2 - 45x - 27. Find the remaining zeros given that -3 is a zero of f(x). O (-3, -6 +…

A: Given f(x) = x3 - 9x2 - 45x - 27

Q: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

Q: (s² + a²) (s² + b²)

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Q: 79 Determine the domain and range for the function: y. 4. -5 -10 -9 -7 7 9. O D: (-10,-9,-7,-5,1) R:…

A: The domain is the set of all first elements of the ordered pairs. The range is the set of all second…

Q: f 4sin20 - 9 =-7, where 0 <0 < 2z,

A: 4sin2θ-9=-7;0≤θ&lt;2π Now, simplify the equation, 4sin2θ-9=-74sin2θ=-7+9sin2θ=24sinθ=±12

Q: What are the zeros of the polynomial function f(x) = æ4 – 3a – 202 + 6x? O (-2,0), (–/2,0), (2, 0),…

A: By using Horners method

Q: Expand the expression (1-x)³.

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Q: Refer to the functions f and g and evaluate the functions at x= -4 f={(6,8), (4,5), (-4,-4), (0,0),…

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Q: 3) f = {(0, a), (1, d), (5, e), (9, c)} find the inverse of this function.

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Q: Calculate the commutators [p(hat)x3, x(hat)].

A: We have to calculate the following commutators. p^x3 , x^ Introduction: Commutation of operator A^…

Q: Identify the vertex for: f(x) = x² +5x-2 O (-2,--5-) O (--/ -2) O (--/ -33) 33 O ( - 11/, --5-)

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Q: 2х1 + 3x2 — хҙ — 2 Зx1 — 2х2 + Xз — —1 -1 %3D -5x1 4x2 + 2x3 = 3

A: Consider the provided equations, 2x1+3x2-x3=23x1-2x2+x3=-1-5x1-4x2+2x3=3 Solve the above equation by…

Q: Verify the relations (5).

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Q: Let F ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)} G=…

A: Given sets are  F ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)}G=…

Q: Find the interval in which the following function is decreasing: 3 -1 1 -1 -2 -3

A: A function f is said to be increasing  if f(x1)&lt;f(x2) for x1&lt;x2 and x1,x2 belonging to the…

Q: Given f = {(-3, 40), (-2, 25), (-1, 14), (0, 7), (1, 4), (2, 5), (3, 7)} and g= {(1,4), (0, 5), (1,…

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Q: Perform the indicated operation 51. If f(x)=x²-5 and g(x)=2x-3 find: axf+g)(x) @bxf-9xx) c) (f.…

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Q: Let f = {(4,7), (0,6). (-1,2), (3,3)). Find (a) f(3) and (b) f(4).

A: Given that f=(4,7),(0,6),(-1,2),(3,3). To find : f(3) and f(4).

Q: Which is the inverse of the relation {(-2,5), (-1,3), (0,-1), (1,-3), (2,-5), (3,-7)}? O {(5.-2).…

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Q: f={(-4,-7), (1,-4), (8,1)} and g={(-7,9), (1,8), (3,7)} find g of f

A: Given query is to find the composite function g of f