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Q: Evaluate 11-x [[ x³y²¹ (1-x - y)²dy dx -10 9π/25 O 1 Non of the above O TU 9π/28

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Q: Q3 Prove that In Coth x 1

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Q: Find the general solution of the following ODE's: y' + 3x²y = x²

A: The given differential equation is y'+3x2y=x2 It is of the form of linear differential equation…

Q: (2) |R| = |2N].

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Q: 12) Show (P,t,') 으(KDO) Hint: f. 12 →K, fa)=]

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Q: dt

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Q: Evaluate h(2), where h = (gon. s (2) = –ig(2) =?+1 1 f (z) . h(2)

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Q: Determine the particular solution1 1. (2-r) dr=rsin 0 de; when 0 0 and r 1

A: The given differential equation is 2-r2dr=r2sinθdθ. Rewrite the above differential equation as…

Q: 3) FIND A PARTICULAR SOLUTION OF THE ODE y"+8y-20y = 2x +5 - e?X %3D

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Q: 10- Solve the problem: Utt-4uxx = xt, 00 u(x,0) = x, 4(x,0) = 0, u(0, t) = 0, Ux(1,t) = 1+t, t20 %3D

A: Given, utt-4uxx=xt;   0<x<1, t>0 ⋯⋯⋯⋯1ux,0=x,   utx,0=0,   0≤x≤1,⋯⋯2u0,t=0,   ux1,t=1+t,…

Q: solve the following different ia l e fuation 2x(1-x) y" +(1-x) y' + 3y = 0

A: Given: 2x1-xy''+1-xy'+3y=0 To solve the given differential equation. Since the posted question has…

Q: If n: R → R is the projection onto the first factor, what is n (3.2, e?)? I believe the answer is…

A: If π1:R→R is the projection onto the first factor, then π1x, y=x, ∀x, y∈R.

Q: Solve the Auxiliary DE 75. и"" + u" — 2и 3D 0

A: Note: - “Since you have asked multiple question, we will solve the first question for you. If you…

Q: Answer the following question accordingly: a) Let A=|2 3 -1 3 a and B-l= where %3D 2 5 a ato and a $…

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Q: * S[*****] = Yg = 1 + +x² + %3D + de 1 + x* + 24 3 1 + 24 3 오4 4 +x2 +x + T 24 3 4 24

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Q: Σ n=1 5n Vn3 +1

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Q: Solve the following linear DE's. 7. y" – 10y' +34y = 3x² + x - 1

A: Given equation in symbolic form is (D2-10D+34)y=3x2+x-1 Auxiliary equation is D2-10D+34=0 The roots…

Q: Solve this problem About Faktorial with the full step, thank u Prove that :…

A: Note: There seems to be a typo in the question k!(k−2)!(k−1)!(k−3)! and the actual question should…

Q: IS T Mene (R) -7 Pz(2) defined by T()= a +2bx+ (C +d )x² In lerti ble ? If so fiad its inverse thet…

A: The answer of given question is given by using some properties of inverse linear transformation.

Q: 5. EB = 33, BD = 5x - 10 and ED = 9x + 3. Find x. %3D O 2.9 5.8 OOO

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Q: 2 Find Ssin xdr In x dr

A: Given and To find the following integration: a ∫3lnxdx b ∫xlnxdx c ∫lnxx3dx d ∫lnx2dx e…

Q: 2. The exact value of sec 57 is O2 2V3 -2 2V3 3

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Q: The particular solution is (P) Yk - (Е — 3)-1(Е — 2)-13*. | Note that f(3) = 0; applying Theorem…

A: The given equation is, yk+2-5yk+1+6yk=3k......1fEyk=E-2E-3yk=3k...2 According to the given theorem…

Q: 8. Solve the following LP algebraically. a. Max Z= 150X+ 160Y subject to: X+Y 20 Y>15 X, Y>0

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Q: 4. The two parts of this problem are related to each other. (a) Show by appropriate substitutions…

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Q: 1. Suppose that is the answer to this question. Determine the value of -

A: To determine the value of 1/x

Q: 11. Solve the following and state the restriction(s) on x : x- 2 a) -3 2x+3 3 >2 2x+4 b) X+3 X+7 c)…

A: To solve the given equations and find restrictions on x

Q: | 3t In(t)dt

A: We have to solve this question with the help of by parts integration. ∫fgdx=f∫gdx-∫∂f∂x∫gdxdx It is…

Q: 2) × if it was 2+4i and 2=3-1 3+1 2+i 2 prove that x² + 3xy + y² = 6 =

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Q: -10 If AXT = B, then X= Let A = %3D 0 2

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Q: -1<1-z<7is equivalent to z €

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Q: у" — бу" + 11у' — бу — 4sin7х + 5 - %3D -

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Q: 2 Xi. にく prove thate 2.

A: Given that  We have to prove the given expression:

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

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Q: = -21n|1-√√x-2√√x+C - dx = Statement 1: 1 Statement 2: S √ √ 171- -√x (A) Both statements are true.…

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Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

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Q: Q.2 Solve the following set of equations x + 4 y + 3z = 2, 2x - 6 y + 6z = -3, 5x - 2 y + 3z = -5…

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Q: Complete the following proof. 7. Given: 6x-7 = 4x- 3 Prove: x 2 Proof Statements Reasons 2. a. b. b.…

A: Using given information I proved 7,

Q: a²x, a?x? Po(x) = 1, p1(x) = 1 + ax, p2(x) = 1 + ax + 2! P3 (x) = 1 + ax + 2! %3D 3! a?? ax? p4 (x)…

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Q: 4.)S V dx Use only The Method of substitution/u-substitution on this item. Final answer should be in…

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Q: 3. If h:x + x + 1 and k:x - x', complete the following. b. ko h:5 a. koh:3 d. hok:3 c. koh:x - ? e.…

A: Since we only answer up to 3 subparts, we'll answer the first 3. Please resubmit the question and…

Q: (エ+1)n n=D1

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Q: Question 18 Consider Evaluate O (9x4+6x)e (x3+y2) O (3x²+6x)e «³+y?) O (6x²+ 3x)e «³+y?) O (6r*+9x)e…

A: Topic = Derivative

Q: The set of solutions to z^6=−i is?

A: We have to find The set of solutions to z^6=−i.

Q: I find B such that AB = C. If 5 0 3 A = 2 01 9. C = 3 5 c- (* :)

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Q: Show ther' 3 2

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Q: 7. Given: 8x - 5 = 2x +1 Prove: x = 1 Statements Reasons a. 8x - 5 = 2x + 1 a. %3D b. b. C. Additien…

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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…