Q4) Given the function: (x² + y² fx,y (X, Y) = x² + y? < 4 %3D 8 0, eslewere Then P{2 < X² +Y² < 3.2} = %3D (A) 0.12 (B) 0.39 (C) 0.5 (D) 0.61 (E) 0.88

Q: Which cube root function is represented by the graph? y 41 1 4-3-2 O1 2 3 4 x -4 432 234

A: A.  f(x)=x+43+2         On putting value x=1 we will get, f(1)=1+43+2…

Q: 3 find the values of B. Given the following functions: f(x) = 3x + 2; g(x) = 3x² + 2; and h(x) %3D…

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Q: | g(x) dr = 15, find / [3f(x) + 5g(x)] dr. If f(x) dx = 28 and If %3D %3D

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Q: Suppose: h(x) = 4x3 + 5x2 +2 and f(x) = 3x- 5 %3D %3D 9. Evaluate h(1) = 10. Evaluate f(1) = %3D 11.…

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Q: Let W = {A E M3: a1 = a12 = 0 and an = an= az3}. %3D Then dim(W) = (A) 4 (B) 5 (C) 6 (D) 3 (E) 7

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Q: Pls help ASAP

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Q: Given f (x) = – 1) x- 1 find f(2 a) %3D (x² + 2)

A: Given function

Q: Let f(x) = x and g(x) = 6x – 15. %3D Find the following: (a) f(3) + g(3) = i %3D (b) f(3) g(3) = i…

A: topic - functions

Q: x2 3-x if x2 f (x) = Find a)f (1) b)f (3) c)f (2)

A: Consider the given function for value of x≥2. fx=x2 Consider the given function for the value of…

Q: Let f(x) = 1 and g(x) + 6. %3D %3D Then (f o g)(x) = (go f)(x) = |3D 4)

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Q: 5 3) F(s) = => f(t) =? (s+21)²(s+123

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Q: Q2: For each of the following pairs of functions, find (3 only): (30 marks) 1. (ƒ O g)(x) 2. (gO…

A: Composition of two functions f:X→Y and g:Y→Z is a function h=g∘f:X→Z defined by h(x)=g∘f(x)=g(f(x)).…

Q: f(x) : [x +2 ifx<1 %3D 15 if x 21

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Q: ) If f (x) = x +5 and g(x) = x2 - 3, find the following: %3D 1) f(f(x)) 2) g(f(x)) 3) f(g(x)) 4)…

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Q: Let f(z) = 14x +2 %3D f (z) =

A: Let ,  f(x) = 14x + 2  We have to find f-1(x) Let y = f(x)  So ,  y = 14x +2 Interchange x &amp; y…

Q: D) Identify the even function among the following. A) f(x) = 2|x| - x² %3D B) h (x) = 2x – x² %3D C)…

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Q: 4. r(x) = 7 + (2x + 1)³ find r(x) %3D

A: Given that r(x)=7+2x+13         ...(1)

Q: (153) (b) Let g(x) = 2***. Find gs"(x). II

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Q: For #8,9: Let f(x) = x² + 4 and g(x) = 2x – 5. (4 points each) %3D 8. Find (f +g)(2) 9. Find (fg)(3)

A: Given-  f (x) =  x² + 4 g (x) =  2x - 5

Q: The range of the function f(x, y) = 4 – V4 - x² - y is [2, co) (-00, 2] (-0, 4] [2, 4] [4, c0)

A: Range of a function:The set of all possible values of y after substituting all the possible values…

Q: Explain why the function f(2) = 2:² – 3 – ze² + e¯² is entire? %3D

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Q: Let f(x) = x2 g(x) = 2x-3 h(x) = Vx+1 %3D %3D 5. (g o f)(1) 6. (h o g)(5) 7. (g oh)(1) 8. (fo g)(x)

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If f(z)dr = 7, S f(x)dz = 5, and S f(z)dr = 8, then %3D S" f(z)dr = | %3D "(7f(z) – 5)dr = |

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Q: [4 Let A = * 1. Find f (A), where f(x) = 2x3 + 3x2 + 4x + 5

A: Answer

Q: F(k) = (0.5)* and g(k) = (0.25)* %3| %3D Suppose Find T(8) by using the convolution where T(k) =…

A: Given: fk=0.5k, gk=0.25k for finding value of T8, first we find Tk

Q: 1) = 2 – E 4x and g(z) = z +

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Q: If f(x) = 6*2X, then f"(x) = %3D %3D Select one: a. 6*2% (In (2))2 O b. 36 *2% (In (2))2 O c. 6* 4x…

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Q: f(x) = 3(8x – x2)/256 for 0<x. Determine P(2<X<4) %3D

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Q: Let f(r) = 1+VI-1, then f-'(x)= Select one: O a. (z – 1)2 +1 O b. (r- 1)2- 1 | O c. (r+1)? – 1 С. O…

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Q: (x)6q %3D 11b. g(x) = Jx+2 – 2; x = -2, -1, 2, 7

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Q: Find 3[g(4)] if g(x) = -2x + 10 %3D

A: Given: gx=-2x+10 To find: 3g4

Q: Let f(x) = a2 +1, g(æ) = Va+3, h(x) = 4 (go(hof))+(gof) at x=2? %3D Find I-4

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Q: Q3) If ƒ(x) = vx +1 and g(x) = →, find (1) (f • g)(x) %3D (2) Domain and Range for all f(x), g(x)…

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