(d) What do the statements 3x EZ (x2 = 1) mean? Express in English Sentence.

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Q: 3. Solve for r in terms of x¡. T4m 2 m Ax 10 m 10-x,* X章

A: In similar triangles , ratio of corresponding sides are equal.

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A: Given: solve   Formulae used:

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A:

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Q: ズー1 アミ x*+1

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A: Given that t = square root of 2s/g.

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A: We use product rule

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Q: ty" – (t + 1)y

A: The differential equation is given ty''-t+1y'+y=0. The one solution of the equation , y1t=et. Let…

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A: To find the degree, leading co-efficient, constant term and behavior of the given function.Result…

Q: 4. Give the graphical significance of the constant k for the equations of the form y=(x-h)³ +k

A: Given curve is y=(x-h)3+k

Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, r3³-4x = 1…

A: The given equation is x3-4x=1, (-1,0).

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Q: on?(1+ g²) dy 2. § Ib'1+ s*) 1 + g².

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Q: e²–3¤ /1 – y² given that wher

A: Given that, dy/dx = e^(2 - 3x) . sqrt (1 - y^2) Then we get, dy/[sqrt (1 - y^2)] = e^(2 - 3x) dx…

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A: here given sample mean  = 102.2 n =8 population standard deviation  = 4 alpha = 0.05

Q: 12. Solve for x. a) 를x-3=x+ 2 b) 쓰= c) (x +1) = (x – 3) x+5 2x-1 3 d) -5(x + 1) – 2(x + 1) = 3(2x –…

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Q: 'ain(t -플)') co여(t- dt

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Q: Solve []=[ x (t) = y(t) = - 3 1 -41 -5 [2] x(0) = - 2, y(0) = 23

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Q: 16 Solve the equation for for y 3rex 1 r2 x - 0

A: 3xex+x2ex=0

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Q: 1.) Solve for x.' a.) ;x2 + 3x + n = 0 b.) 6x² + x – 2 = 0 Bonus 1. If x? + y? = 25 and x – y = 7,…

A: (a)       12x2+3x+π=0x=-3±9-4.12.π2.12  =-3±9-2π1  =-3±9-2πorx=-4.6483, -1.3517

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Q: t.

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A:

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A: Solution: 2.

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A:

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A:

Q: -1+ 2x 11 If PR = 3x + 3, solve for x. %3D Our answAwer R.

A: PR=3x+3   PQ=-1+2xQR=11

Q: y²+(a+1)xy-ax? x((a+1)x-(a-1)y) What is the general solution y' where a > 0. %3D

A: Given differential equation is,