x² – x – 12 * (x) = x² – 2x – 8

Q: 2x In -x = 0 =72xIn (x)Texco ーフ-2x1n Cx)メ=0 -> explain in detaill

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Q: 4. If x²-2√3x + 1 = 0 then, a.Show that, x² - 2√2x-1=0. 14 b. Find the value of x¹4 +1 X X c. What…

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Q: Find the value of the integral x²dx (x² + 9)(x² + 4)² 0-

A: The integral can be solved by first simplifying the integrand by partial fraction decomposition.…

Q: a 3Da 十n2 n – 1 -

A: an  and an-1  have constant coefficient so that relation is linear Relation has n2 non-homogeneous…

Q: 3. JX)=3X - g(x)=35x-30X+3 are ortnogonai each ther on [-1, 1].

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Q: For which n E N is the polynomial f(x) = x^(2n) + x^n + 1 divisible by g(x) = x^2 + x + 1?​

A: To find the value of n ∈ ℕ for which the polynomial f(x) = x2n + xn + 1 is divisible by g(x) = x2 +…

Q: Evaluate integral the 6x ..d. (x²+4)(2x-2)

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Q: (f) X- x2+23 = 4 X2+2x3 =4 %3D 2x1 + 3x2- X3 = 1 7x + 3x2 +4x3 =7

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Q: if y3-3ax2+x3=0 ,then prove that y2+2a2x2y-5=0

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Q: The general solution to 3x" + 2y = 0 can be obtained using?

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Q: 3x2 + 5x + 11 Evaluate / dr. (x+ 1)(x² + 2x + 10)

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Q: 12 +3t-4 and 3t2-3 9.) Suppose that x = 3x 10

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Q: Let h(x) z² –3z+2 -z² –4x+4' what is h' (-5)?

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Q: 18x- 2(3x + 1) = 5x – 16; Prove: x = -2 %3D

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Q: if y3 -3ax2 +x3 =0,then prove that y2 + 2a2 x2 y -5=0

A: Our objective is to prove y2 + 2a2 x2 y -5=0 if  y3 -3ax2 +x3 =0. But note that when a=0 and x, y=3,…

Q: 3tan(x)=2sin(2x) from [0, 2pi)

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Q: а)у-x^3-5x+5 b)y= xe^X с) In(x^3

A: # we are entitled to solve 3 subparts of one question. Please resubmit the question which you wish…

Q: - (x-2)" 3. n=0 3n +1

A: We find radius of convergence by ratio test, then find interval of convergence.

Q: Find the second order derivation for y = e-3x².

A: d2dx2e-3x2

Q: Jk=2x-5 and KL=3x-8 what’s JL

A: Given JK=2x-5 and KL=3x-8. Here, K is between J and L. Therefore, sum of segment JK and KL is equal…

Q: f(x) = 4 – x² between x = -2 and x = = 2.

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Q: expression fory 2 cx+

A: Given           y=Ax3+Bx2+Cx+D then                    y'''=

Q: Prove x²(x-y)² =x² -y²

A: Substitute x=y in the given equation Then x2(x-y)2=0 ....... (1) and x2-y2=0 ....... (2)

Q: fo)-글x3-글 x2-6x +4 has

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Q: (g) ACN BC o{xeRxs -3 or x >2} XE -3 X < -3 or x 2 2 -3<x < 2

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Q: Jp+1(x) — Jp-1(х) аnd — 2];(x) 3 о

A: for part (A) We have to verify the given equation so we verify this by recurrence relations. the…

Q: 15 Find the domain of y = 4Vx-8. 1 x 2 8. O x2 -8 O x28 Ox > -8

A: The given function y=4x-8

Q: if y3 -3ax2 +x3 =0,then prove that y2 + 2a2 x2 y-5=0

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Q: -+kx² 0<x<1 3 0<xs1 otherwise

A: Let X be a continuous random variable to lie in the interval (-∞, ∞) then, its probability density…

Q: f'(x) = lim 4x + 48x +4 - 2x -1 %3D

A: Given: f'(x)=lim∆x→04x+4∆x+4-2x-1∆x

Q: -2 kx 1<x<0

A: The probability density function given is, fx=12kx-2 , 1&lt;x&lt;∞0 , o.w Here X is the random…

Q: (9xi – 3yj ㅠ S x² + y² + 7² = 9 is 2

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Q: Q4 Find x for all of : 2- y = 3 x(x-2) x+1 1- y = xvInx

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Q: if y3 -3ax2 +x3 =0,then prove that y2 + 2a2 x2 y-5 =0

A: Given : y^3 - 3ax^2 + x^3 = 0

Q: If y3-3ax2+x3=0,then prove that y2+2a2x2y-5=0

A: Solution of this question is

Q: Find the domain of L(x)= ln(3-2x).

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Q: -2x - 6 M N NL = x+ 15 WV = x+ 21 WN =

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Q: 4. In x2 -4x + 4 - b2 = 0, find the value of x. %3D

A: Topic:- algebra

Q: y3-3ax2+x3=0,then

A: Given:  y^3 - 3ax^2 + x^3 = 0

Q: t0) = {Ax2 -1. [5x + 4, for x < 0, 4x2 - 1, for x20 10+

A: NOTE: Refresh your page if you can't see any equations. . the first equation is  to graph the line…

Q: -2x xp- (1-x)' 7. Evaluate A. +6x-n(1-x)+-(1-x)* +C C. '+6x + n(1-x)' + (1-x)*+c D. x+6x + In(1-x)"…

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Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

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Q: Where is /(x) = 4(x=2)^ + 2(x-2) increasing?

A: We first find f'(x) using the power…

Q: 1. Find the first-order derives: III. y = (2x* – 5)(3x5 + 12) IV. V4x? + 7+ 5-x° + 15x – 30 5x+ 4x3

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Q: In this section, we showed that the rule d/dx1xn2 = nxn - 1is valid for what values of n?

A: given that ddxxn=nxn-1

Q: f (2) 2. Find if Ar) -(1-x²)(* -1) =

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Q: 3 1f y=/xL5x²–3. x_3x²+¥x- 3, X25x²-3 huw that dy 24 ||

A: We have,  y=x4-5x2-36x3-3x2+4x-124

Q: f(x) = ((3x + 7) if x ≤ 4 ax-1 if x > 4

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Q: (-1)"- n 1 2n-1 TL Σ 4.

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Q: 8 - 7V + 19x – 6. + 14e6x Evaluate show the work.) x4 + V11 dr. (You don't have to

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…