13. Simplify the expression x² - xy (x* – 2x'y-x²y')** 3

Q: Suppose that y= 2(1- e *). Compute y' and show that y' =2-y. y' =] 2-y%3D Does y' = 2-y? O Yes O No

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Q: s9-3x then y If y O 89-3x)4 25 O 819-3x)4 25 O 8(0-3x)4 O -24(9-3x)4 O 24(9-3x)4

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Q: h(x)={3x+2 for x>0} h(x)={5x-1for x<0} h(8)=?

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Q: 6. Let [√16-X² Find y(2√3) 16-x? 2 16

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Q: 16. x-By o 4x+25 1t. ax-3731 -Cx+ayー3

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Q: 5. y>|x - 21 y O 7. x-3 ≤ y ≤ x +4 YA la S II 6. y ≤1x +4 Ins 8. -4≤x-2y < 6 x

A: See this solution in below.

Q: 2. Suppose ALXry) = 2xy-ix"y. Find D.A

A: We have to find out ∇.A

Q: b 2x 1! + 5x 2! + .+ (nt + 1)п! %3D п(п + 1)! + 10 x 3! + .. 2 3 + .. 1 n 1 + + + = 1 - 2! 3! 4! (п…

A: (b) Case 1 : n=1 2×1!+5×2!+10×3!+...+(12+1)1! = 1(1+1)!2×1! = 1(2)!2 = 2 Therefore, the result is…

Q: 32. y" + 4y = 8(1 - T) - 81 - 27). y(0) = 1. y'(0) = 0 33. y" + 3y' + 2y = 2u(1 – 2). y(0) = 0.…

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Q: 11 Compute x2+ where x =i- 1. Answer: 2.

A: We have to find the value

Q: y'''+y''=3 (Non Homogenous DE)

A: y'''+y''=3 (Non Homogenous DE)

Q: 6. Evaluate In (x - In (r-...))dr in terms of some new variable t (do not simplify).

A: Given :- ∫lnx-lnx-...dx To find the given integral in terms of some new variables t

Q: 12 -I Vk + 1 k=1

A: To find the sum, first, we need to check the convergence of the series. Here we use the divergence…

Q: *29 y-5=m(k-iD= 0(x-1) =O y-5=0 y=5

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Q: (b) Show that o = 2[Rx(0) - Rxx(0)] XX

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Q: Question #6

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Q: Help

A: 16) Given: x=5y-3 and y=-2a3 To write x in terms of a, substitute the value of y in x

Q: O xy' + 4(x-2)y" − 2 (x + 2) (x² − 1) y = 0 - -

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Q: الواجُب (x-1) (x+4)<o 2 )و - رصه - (

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Q: 1. Expand (r+ 1)(x – 2)(x + 3)

A: We will explain this using commutative law and associative law of multiplication.

Q: Compute x -1 where x =i +1 2.

A: topic- complex numbers

Q: In Problems 33–44, determine the maximum number of real zeros that each polynomial function may…

A: We’ll answer the first question (that is 33) since the exact one wasn’t specified. Please submit a…

Q: 16 In x xу"(х) + ху (х) - у(х) - х> 0, у(1) %3 3, у'(1) %3D 1

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Q: -2x -dx - Evaluate (1-x)' 8 А. х* + 6х- In(1-х)' + 1-х 8 -(1-x)* +C С. х? +6х+ In(1-х)' +- -(1–x)*…

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Q: 9. If 4x(y+2) ソー3 O J6 4x(y+2) – 2x, y # 3 or -2, and x #0,2= ソ-3 y+2 A) B) C) 2 1/8112 28

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Q: 31. x - y = In y; (1, 1)

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Q: 11. x²y" - 2xy + 2y = 0, y (1) = −1, y (2) = 1

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Q: ーメ44 ifx 小0 2x-5 if OLx<3 fE) = Vx-2 if メ=3

A: Explanation of the answer is as follows

Q: 8. (1-3tan ysec y)°dy

A: The given integral is: ∫1-3tanysecy3dy Evaluate the integral.   Here we use the formulas:…

Q: 42. Show that S 4xys + %3D 1- x2 1- y? 1– 22 (1 – a²) (1 – 3²) (1 – 2²) if xy + xx yz = 1

A: Given that  xy+yz+xx=1 Prove that the expression

Q: 1.5 Inx - In(x2 - 1) + 2ln(x + 3)

A: Logarithm simplification

Q: (322 +ス-) の by X-2 ス xx (x-r) coffiecients 9. 12 20 48 t1 213 x x² 3く t 6x tlox +24 10 24 47 x' ☆ R…

A: Factorial division

Q: 24. 0.25x 0.5y %3D 0.2x + 0.2y- 0.2z = -0.6 0.5x 1.5y + z = 0.5

A: Here we solve given equation using Gauss Jordan method.

Q: 13B 1 x z+7;0<x< 1 x 21 Fx (x) = 0; x< 0.

A: Part (i) The relation between Probability density function and cumulative distributive function is,…

Q: – 9). 4 We want to differentiate y=x °(x² – 9). Differentiate y =x°(x* – 9) by first distributing…

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Q: 4. Evaluate the integral 2x -5x2 d.x

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Q: 1. Differentiate: y = 3(x²-1) А. (In 3) 3 (x*-1) В. (2х) 3(*-1) C. 2x (In 3) (3**-1) D. x²(In…

A: Given information: y=3(x2-1)

Q: 5x + 1 If y 2x-1 - In 7' then y' will be II

A: y=5x+12x-1-ln(7) In this we have to find differentiation of y. We know, ddxuv=vddxu-uddxvv2

Q: 18. y = x² + 9 and y = 10 + 2x over z = [-1,3]

A: The graph is shown below

Q: 17. y = x² – In x, 1<x< 2

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Q: 1. Examine (2x - y)15. Explaim coefficient of the x y' term.

A: Consider the binomial expansion of (ax+by) to the power n. The co-efficient of any term xpyq will be…

Q: 2.if x, = 0.3 , xz = 0.5 , x3 = 2 x4 = 3 then E12x, =17.6 O F

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

Q: £ 0 to to b =-X = (X) ₂ ₂X = (x + 2.

A: NOTE: Refresh your page if you can't see any equations. . .

Q: (27) Let X = P(2) and E(-x) = E(5 – 5x) find 2.

A: Given: A random variable X follows Poisson distribution Mathematically, X~Poi(λ) The probability…

Q: у" — 2у' + у 3 et x5 when y(0)=1; y'(0)=2

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Q: 8. ye = In(xy) 9. (y- 5)? = 8(x – 3) _10. 2x – xy +y = 0

A: We can solve this as follows:

Q: #02:-Discuss all the cases of reducible to hamggenou D.E form.

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

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Q: 2r+1 if the values of x, y is O none O x-1,y32 O x-2,Y3D2 O x=2, y =1 223

A: Two matrices are said to be equal matrices if they have the same order ( dimension) and the…

Q: 5x + 1 If y = then y' will be %3D 2x-1 – In 7' 5(2x** – In 7) – (Sx + 1)+) A. (2x- – In 7)2 5(2x-' –…

A: Given y = 5x + 12x-1 - ln 7