Let a ER and set fa: R→R: xx+1|-2|2x|+ a. S(a)= {r ER: fa(x)=0}. (So, S(a) is a set). P= {a € R: S(a)=0}. Qa= {xER: fa(x) >0}. (a) Give S(-4) and S(9). (b) Give P and Q2. (c) Give min(Q2), max(Q2), inf(Q2), and sup(Q2), if they exist.

Q: 2xy// + (x + 1)y/ +3y = 0

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Q: For S = {3, 4}, find g(S) and g-1(g(S)).

A: Given that, S = {3, 4}

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: Let f(r) z-6z and g(r) -6. Evaluate the following 1. (o g)(z)= 2. (g (z)= 4. (g)(e)

A: The given function is fx=x2-6x and gx=x-6

Q: 1. (a). Show that (1 · 1) + (0 ∙ 1 + 0) = 1. (b). Find the value of (1 + 1) .

A:

Q: Given f(x) = 2-4x | find f(-1). x-x+8 O A. . - | 16 OC. 16 - O E. - B. 114

A: We need to find value of f(x) at x= -1

Q: find h(1) = 1 + h(-1), h(2), h(+), h(x – 1), h

A:

Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

Q: Let f(x) = x³ – 6x ln x + 6x + 1000. Find all x-coordinates of the inflection points. O x = -1 and x…

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Q: Let A = (-0,0), B=(0,0) then AUB=

A:

Q: PROB.NO. 4 VERIFY THAT (X - 3 )(X - 21) = (X - 21 )(X - 3) = Xx - 5X + 61 FOR [i 2 0] X =0 30 0 0 4

A: To verify the given expression is followed by matrix X .

Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

A:

Q: if f(x) = 3 and g(x) = f(x) – 1 then (f .g)(-3) О а.-3 O b. 6 C. 9 Od. 27

A:

Q: For the given functions, find (f o g)(x). f(x) = 5x + 1, g(x) = Vx (fo g)(x) =

A:

Q: -B -2 4 3 2 WH + 2 --3- -4 Y 2

A:

Q: Let 7 (t) = Find 7 (t) デ'(t) =D<

A: r'(t) =d(r(t))/dt

Q: Let f(æ) = a² + 3 and g(x) = 2x – 1. Which of the following is fo g(æ)? fo g(x)= 4x² +3 %3D fo g(x)=…

A:

Q: Evaluate C(x,(x−1))

A:

Q: K 3. f(x) = = mt f(x) find a. 2 = (x) اسم - - () اسمر - ( ) اسمر 2 = = = (x) اسمر b. .. d.

A:

Q: Suppose f(x) = 2x² + 6x + 2. Compute the following: A.) f( – 3) + f(1) = B.) f( – 3) – f(1) =

A:

Q: Let f(x) = 2* and g(x) = 1. g(0) = 2. f(0) = 3. g(-1) = - (²³)*; and evaluate the following: 3

A: As per our guidelines we are suppose to solve only three sub-parts of a question if the multiple…

Q: Let f (x) = x- 7 and g(x) = x² – 16x + 63, then f(x) g(x) Select one: O a. X-9 O b. x+7 x+9 O d.…

A: Given: f(x) = x -7 g(x) = x2 - 16x + 63   To find: f(x) / g(x)

Q: 3xh-2x2h2+h³ limn→0 limp. h ||

A:

Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: Given f(x, y) a² f მ2 8² f дуг = - (6x¹y+ 2xy). Compute: ←

A:

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: 2t – 5, t 2

A:

Q: h(x) а. h(-2) b. h(1) c. For what values of x is h(x) = -1? -2 -2 -1 -1 1 -1 -2

A: Consider the table: x hx -2 -2 -1 -1 0 0 1 -1 2 -2   Find. a) h-2 Since the value…

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives