Review later 1. Which of the following describes the end behavior of y = -2x +3x2 - +5 1. As x -o, y o and as x oo, y 00 2. As x -o, y -o and as x o, y 00 3. As x o, y o and as x o, y -0 4. As x -o, y → -0 and as x o, y -0

Q: The values of C, and C₂ so that y(x) = C₁x + C₂ (-) satisfies the two conditions y(1) = 1 and y'(1)…

A: Given: yx=C1x+C2-13x2 To find the values of C1 and C2 such that y1=1 and y'1=-1.

Q: 7. Evaluate y" + y' = t; y(0) = 1 , y'(0) = -2

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Q: y = C1e¬ª + C2e¯2# + x y" + 3y – 2x + 2y – 3 = 0 y" – 3y – 2x – 2y+ 3 = 0 - - Option 1 Option 3 y" –…

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Q: y = 2xy – x In(2y – 1) = –a² +C y = e**C + • Option 2 Option 3 In(2y + 1) = –x² + C Option 4 None of…

A: We need to choose correct option.

Q: Find y dy S using the substitution +5=√√y+2 √y+2 (√3+2-5) (5√y+2+y+21) +C 3 (√x+2-5) (5√3+2-y+24) +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: O A x =-2, x=2, y=1 O B x=-3, x=3, y=0 O C x=-3, y=D0 OD x=3, y=1

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Q: What is the end behavior for y = -2|x – 3| + 3. A. x → -00, y → -∞; x → +∞,y → -0 C. x → -00, y → +∞…

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Q: Which of the following describes a spurious relationship between X, Y, and Z? Select one: a. Z…

A: We know spurious correlation is a relationship in which two or more events / variables are…

Q: 3 - If h(x, y) = y - xy – x2, find at the point (2, n) ду а) - 2.5 b) 7 c) -2 d) -1 e) 0 f) 1 g)…

A: Given that h(x,y)=y-xy-x^2

Q: y dy Find S y+2 O / (√x+2-5) (5√/y+2+y+24) + C 3 O (√y+2-5) (-5√3+2+y+21)+C 3 (√y+2-5)…

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Q: If W (2t – 1, y (t), 4t – 7) = -20, then y (t) = O f +5 O ² +3 O 2 - 5 O ² – 3

A: We will solve this by calculate  wronskian

Q: y dy Find S y+2 O ²(√y+2−5) (5√/y+2−y+24) + C (√y+2−5) (5√/y+2+y+24) + C (√y+2-5) (5√/y+2+y+21) +C 3…

A: A detailed solution is given below.

Q: Q4- Given y = u2-1 and u = Vx2 +2 find y u2+1

A: Consider the equation On finding the derivative with respect to u

Q: ·S- y dy y+2 A (√3+2-5) (5√3+2-y+24)+C ℗(√9+2-8)(5√3+2+7+21)+C Ⓒ(√3+2-5) (5√3+2+y+24)+C…

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Q: Let y=(x^(2)+x+1)^(5)(x^(3)-1)^(2). Then (y')/(y)equals (a)(5x-5-6x^(4))/(x^(3)-1)…

A: Solve the differential equations

Q: 8z 2 Let z2 + y? + z2 = 3xyz, then which of the following is Oa. 2z-3zy O a. 3yz-2z 3zz-2y O b.…

A: Explanation of the answer is as follows

Q: If y" – 6y' + 9y = 0, y1 = e3x, y2 = xe3x = 3 and y'(0) = 12 then find c1 and c2 %3! (а) C1 = 5, c2…

A: We have to find constant

Q: Consider y" + 4y' + 5y = ae -3* 8 (t - 31), y (0) = 1, y (0) = -2. Зл Find the value of a such that…

A:

Q: If C:7 (1) = (1+t,1-?), -1sts2 and g(x.y)=2xy+x+y+2, then g,(x.y) dx + g,(x.y) dy = a. - 17 Оь. — 18…

A: We have -  g(x,y) = 2xy+x+y+2

Q: If y? dy = is =I, then O a. 1/2y O b.x/2y O c. 2y/r O d. None O e. 2/r

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Q: Which of the following windows will show all 6 points listed in the table? O A. Xmin: -4 Xmax: 9…

A: bh;k';l' '

Q: For S(y + 2) /2 –- 3y dy,y = O y = u^(1/3) O y = u^3 O y = u None of the choices

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Q: y dy ³S- √y+2 3 3 0²/(√y+2-5)(-5√/y+2+y+21)+C © }(√y+2−5) (5√/y+2+y+21)+C (√y+2-5) (5√y+2-y+24)+C…

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Q: Q3. If R={(x,y) e R×R: x-5=y3+2x} , S={(x,y) e R×R: x2+3y=y+7} then find RoS and S•R

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Q: Mark on the diagram: T. 1. ZEDA=ZFBC in green 2. Draw DE // BF 3. DE L AC 4. Draw FE EF 5. Show ZDAB…

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Q: Let Ley) = y(4) + y (3) - 7y (2) _y (¹) + 6y al solue: Lys = 36t-24e² > " where = y (o)=y'(o) =y"…

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Q: If (x. y)- (x+ 3, y-7) maps TUVW to 7'Uvw, what is the algebraic description that will map T'UV'W to…

A: Given if (x,y) →(x+3, y-7) maps TUVW to T'U'V'W', we need to find the algebraic expression that will…

Q: Find y dy ·S= using the substitution u +5=√√y+21 Vy+2 ²/(√√y+2-5) (5√√y+2+y+24) +C…

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Q: Find y dy ·S using the substitution u +5=√√y+2 y+2 © ²(√√y+2-5) (5√/y+2+y+24) + C…

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Q: (c) y" - ry +y = ', y(1) 1, g/(1) = -1, r>0

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Q: Te dy 6. (18x y)", then is given by: 45 13 6. 4. (18x 13 45 13 6. (18x 13 45 6. (18x 45 6. (18x 13…

A: ⇒f(x,…

Q: (,² + 4y² )0.5_x = se!y =r!0in(r) find Ou 2 0.5 when s= 2, r = 4,t = -3

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Q: Find y". y = 6+ 8 2 3 O A. 6+ x2 X 24 2)2 16 3 O B. 6 + - X 2 6 + - X x2 48 2 3 16 6 + x3 OC. 6 + x4…

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Q: Q4:Min z' = 29 yı+ 45 y2 subject to 2y1+ 8y2 > 60, 4y1+ 4y2 2 60, yı 2 0, y2 2 0.

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Q: 3.1 Evaluate y"-10y'+9y=5t y(t)-50 +51 +31 e⁹t - 2et t 81 81 Option 1 y(0)=-1_y'(0)=2 y(t)= 81…

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Q: dw If w(x,y,z) = xe % and x= -4t, y = 4-1, z = -4 + 4t. Find di . (4-1) (4+4) 41(4 - t) -4 + 4 (-4 +…

A: Given, wx, y, z = xeyz     and x = -4t   y =4-t z = -4 +4t We have to find dwdt

Q: S(x,y) 1 3 y 1 0.05 0.2 0.1 0.1 0.25 0.1 0.05 0.1 0.05 P(X=1|Y=3)% = .A 2 .C .D B. 2/7 2) 3,

A: Let X and Y be the two random variables with joint probability fXY (x,y), the conditional…

Q: x?y" + xy' + Ay = 0, y(1) = 0, y'(e) = 0 d, = n = 1, 2, 3, ... o(x) =| n = 1, 2, 3, ...

A: Step:-1 Given differential equation is x2y''+xy'+λy=0, y(1)=0, y'(e)=0 Let  x=ez--(a) then…

Q: y dy Find ·S= √y+2 0²/(√y+2-5)(-5√/y+2+y+21)+C 3 03 (√y+2-3) (5√/y+2+y+24) +C 3…

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Q: If x'y" – 3xy' + 3y = 0, y1 = x, y2 = x³, y(1) = 2 and y'(1) = 0 then find C1 and c2 (a) C1 = 3, c2…

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Q: Let Compute θω -(2, -3) = 28 მs дw -(2, -3) = Ət w = 4xy-yz - 3xz, x = st, y = est, z = ²

A:

Q: An expression that allows to calculate: 3ry |dr + + 5xy ) dy 4 3 Corresponds to: A) » LL- B) (-r²y+…

A: To solve this problem we shall use the Green's theorem. Green's theorem: Let C be a positive…

Q: xz, + 2yzy = 0, for r > 0, y > 0 yzz – 4xz, = 2ry, for all (r, y) #2, – ryzy = z, for all (r, y)

A: (A) Given the PDE xzx+2yzy=0 We will use the characteristic method to find the solution.

Q: The values of C₂ and C₂ so that y(x) = C₁x + ₂( satisfies 3x the two conditions y(1) = 1 and y'(1) =…

A: Given equation is y(x) = C1x + C2-13x2

Q: 18. (x + y)y' = 1 20. yy +2xy = 6x 22. x'y' +2xy 5y* 24. 2xy' + y'e 25. y?(xy + y)(1 +x*)/2 =x 26.…

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Q: I H G Y K L A: Has Euler circuit. B: Has Euler circuit. N P R N L U R C: Has Euler circuit. D: Has…

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Q: 1- find y' for y =5x-3/x^2+2x. 2- find y' for y=(1+x-x^2)e^x.

A: 1- find y' for y =5x-3/x^2+2x. 2- find y' for y=(1+x-x^2)e^x.