Show that |1 - (x, + x,) - (x, + x,) X,*z = (x, – ,) (x, – y2) (x2- ,)(x2 - 2) 1 -(), + x2) 1 - (y,+ 2) , Yzl 1 |

Q: ) Prove that sech¯¹(x) = In ( ¹+ √¹-x²) X

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Q: 47. If S(2,y)=(2x-3yy', then f,= _ a) -15(2x-3y)" b) –10(2x-3y) c) 15(2x-3y) d) 10(2x-3y)

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Q: State the domain of the rational function. x-9 8) f(x)= x2.5 A) (, -) O--,-3)u(-3,3)u (3, ) B)…

A: To find the domain of the below rational function. fx=x−9x2+5 fx=11x+5

Q: e*+1 Differentiate the function f(x)= In -3x +1 -3e A) 4e** +1 +1 3e B) e +1 +1 3e C) 3x 1. D) E) +1

A: Topic: differentiation

Q: If Im(z)#0 for all values of z and if f(z)=z^2+z+1 is a real valued function, then find its range O…

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Q: • prove that y` = = for y= (of (1+x)) 1+x²

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Q: Find The Valle f X 十 キ

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Q: Factor f(x)=2x^3+5x^2-83x+40 into linear fuctors given that -8 is a zero of f(x)…

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Q: If f (x) = 3x ^ 4 + 5x ^ 3 + x ^ 2-2 then write f (x) as the product of irreducible terms of Q

A: We have to express f(x) as the product of irreducible terms of Q.

Q: Consider these 2 functions f(x) = fex ifxco 1+/6x² if x>0 g(x) = e¯* In (f(x) −2) What is the domain…

A: The functions are

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: domain of f(x)=V9– x² is 1- (9,-9) 2- (-3,3) [-3,3] [9,-9] 2- 4-

A: Explanation of the answer is as follows

Q: Show and use d(Xn, FCN))<« d(Xn-1 'x) Vny? To prove X = fx) %3D

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Q: what is the domain of g(f (x))?

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Q: 4. j(x) = {x3 - 2 <x <1 x² + 2x -4 x21 Domain: Range: j(-3) = -6-5-4 -3-2-1 0이 1234 5 1- -2 -3+ = ()…

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Q: Assume all cells not shown begin blank. A downwards arrow indicates the contents from the cell above…

A: The table given is as follows: (a) We are asked to find a formula to generate numbers as given in…

Q: 4) f(x²+2) lnx dx = a) (+x) Inx--x+c b) (+2x) inx--2x+c c) (x² + 2) lnx--2x+c d) None of the above

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Q: 2) y=-- +1 2 1 ソ= 1

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Q: 10) (42x-33)+ (7x + 7) Please write in Q(x)+r(x)/d(x) Form

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Q: 6. Let f(x) = x − 1 and g(x) = (x + 2)², find the following: a) Domain of f(x) b) Range of f(x) c)…

A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: What is the domain of x↦ (1)/(x^(2-25)) ? b. Explore x-> (1)/(x-|x|) to determine what inputs, if…

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Q: Prove that In( +VI-X²³) = In ( ¹+ √1-x²) sech ¹(x) =

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Q: x*+1 c. lim X+00 Vx+x-1 Vi+3x4 d). lim 2x+7 Vi+3x e). lim X-o 2x+7 f). lim (v4x² + 3x – 2x)

A: *As per bartleby guidelines we are allowed to answer only 3 sub-parts at a time. Kindly please…

Q: (x+1)² (x-3) > 0

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