4. Which relation between x and u yields 16+x² = 4/1+u?

Q: EX/ show that im Cosy-1

A: Given limit is : limy→0cosy-1y To prove  limy→0cosy-1y=0 Use the trigonometry formula,…

Q: 3) Prove that ae*+be-x a) b b > 0 ex+e~x

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Q: =[12] and U- = -[] Then A2017U is equal to -1 Let A =

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Q: 23. Prove that (xo, Yo), (x1, y1), and (x2, y2) lie on a line if and only if (х — Хо)02 — Уо) - (*з…

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Q: 22. Differentiate the following with respect to the variable x, giving your answer in a implified…

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Q: xy If z show that: x- y

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Q: 4. Explain why (* + ÿ) + (ž + t) equals MQ in the following diagram.

A: answer is in next step

Q: is the gropt Q whch of Hhe of followring

A: Given that: 1. y=x2ex2. Graph of f(x)

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Q: Prove of disprove if the given DE is exact. 2x^2 +4 =2(3-x^2y)y'

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Q: /2 5b) What is ll xl)=(2 ²) if x= G,s%2;X3=--) toce where -n/2 2. and Xn = L?

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Q: 3) By changing the independent variables x and y to u and v by means of the relations u xay, v = x +…

A: Apply chain rule

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Q: prove that var (XY) == 0} 03+ 2} · o3+ 13.03

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Q: 4 16 Define T: R? - R° by T(x) = Ax, where A = 1 3 -

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Q: Prove that if x+y=%30 then y=-x

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Q: 14 11 " f(2)da - /" f(=)dz = [ f(=)dz where a = and b = Question Help: D Post to forum

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Q: If xly, then show that ||x+ y|| = ||x- y|!.

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Q: Question # 01. Consder z= {acbos a-b =0; S2 Interpet that eguivale nce relation. ~ 18 is

A: That's easy, just show that this relation is reflexive, symmetric and transitive.

Q: af 10x +11ly and = 11x. Which of the following is the best definition of (x,)) = If %3D Əx

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Q: Find the value of x in Q. x=___

A: A line perpendicular from centre of a circle to the chord is bisect the chord.

Q: Evaluate In r dydx y – K + 13

A: In this question we have to find double integral.

Q: 6. so be it r = 3xi + yi – 2zk and f (r) : -- where |r| = r find all of grad(f) and div (-)

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Q: 7. Prove that if v >-1/2 ; p) = L{xvJ, (; = xı-at-a) H

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Q: Prove that (0.01)(100sin2π(5000)t)2 is equal to 0.5+0.5cos2π(10000)t

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Q: 5x 60(x, +x,) 3 b) Y = In 60(x2 . 3,

A: The given differential equation:                                                 Y=ln5x1360(x2+x1)32…

Q: 24. Find the Fowrier r fas - -IN X

A: Hv

Q: 6. State the congruence relation for AABC and ADEF. A. SSS B. SSA 4. C. 4.5 E С. C. AAA 4.5 D. SAS…

A: Given, ∆ABC  and  ∆DEF      We have to write the congruence  relation for ∆ABC  and  ∆DEF

Q: Compute Projsw given by |2 -1 – 2 and S is defined by 8 [2 – 12]+t[-1 – 13], s,t e R. x = s ||

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Q: The elimination of ci and c2 gives the relation Yk 1 1 2 0, (1.53) Yk+1 4 Yk+2 25 which, on…

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Q: "(2) is also analytic, and hence its

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Q: 2. Evaluate f'(5) for y = v2x² – 1 hor Ju OIT

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Q: 6. Use the IVT to prove that x2+ In r = has a solution. %3D

A: The Intermediate value theorem says: If the continuous function attains two values then it must…

Q: Prove that R (D-1 and R)%=(-)

A: The objective is to prove that  Pn1=1Pn-1=-1n

Q: Show for all x, y in R |x+ys]xl + ]y!

A: consider left hand side  and use the result x=x2 x+y=x+y2=x2+y2+2xy≤x2+y2+2xy≤x+y2=x+y

Q: 1. Let x (x,) E l. Find x if 11-- a. x = 2 %3D

A: This is a question of functional analysis in lp space.

Q: 2.2 Use algebraic manipulation to prove that (x +y) · (x + y) = x.

A: As 2 Questions are given, I will solve only the first, We need to Prove that: x+y(x+y¯)=x Solving…

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Q: Ihow do you bnd the imit of as x approaches 0?

A: The limit of x+1-1x as x approaches to 0

Q: Determine the ratio and interval of con (-1)"x" in=0 n6" O R.O.C=6, 1.0.C: x E [-6, 6) R.O.C=1,…

A: Here we have ∑n=0∞(-1)nxnn6n=∑n=0∞an ⇒an=(-1)nxnn6n

Q: 16) * Find y' if y In (x2-8), when x 4

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