Y : k=0 y' + (2x + 1)y = 0, rrence relation. For k > 0,

Q: Find y as a real-valued function of tif y(5) 9, y'(5) = 9. = y = 49y" 140y + 100y = 0, -

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Q: Evaluate y' of the given functions: 1. y = (x² – 2)(x + 3)

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Q: Find y as a function of a if y(0) = 7, y'(0) = 4, y"(0) = 133. y(x) = y" - 8y" -y + 8y = 0,

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Q: If zis implicitly defined as a function of x and y by xy-yz+xz=0, find dz/dx. (y+z)/(y-x)…

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Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

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Q: Use the graph of f and g. Let p(x) = f(x)g(x) and g(x) 2 (a) Find p'(4). p'(4) = = (b) Find q'(1).…

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Q: Find y as a function of t if 5184y" – 1584y + 121y = 0, - y(0) = 6, y'(0) = 3. y =

A: We have to find the general solution of the given problem.

Q: lim (x' – 2x* +5)= x→-2 O a. 22 O b. -11 O C. -13 O d. -18

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Q: 2) Use the Chain Rule to express the second derivative of fog in terms of the first and second…

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Q: Find y" * y" at (1,1) of x'y =1

A: We have to find derivative

Q: Find y as a function of a if y(1) = 8, y'(1) = 6. y = x²y" + 3xy' - 35y = 0,

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Q: * Find y as a function of æ if y" – 8y" – y' + 8y = 0, y(0) = 4, y'(0) = -6, y" (0) = 130. y(x) =

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Q: Find the function satisfying y' x + 3 and y(0) = 2 ... 2y + 5

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Q: += x²y* 9.

A: Given the function

Q: Find y in terms of x. dy 2=x* (32 - x). curve passes through (2,2) dx The solution is y=|

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Q: _____18) Find y' if y= 6+x √4-x²

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Q: find derivative of y y= (3x²-3x+1)³/2 (3/2)(3x²-3x+1)¹/2 (6x-3) none of the above (3/2)(3x²-3x+1)¹/2…

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Q: I. Find y', y" and y"" of the following functions. a. y = 2x-x'+ 5 b. y = (r²+2) x-1 II. Use the…

A: I. (a).y=2x4-x3+5diff w.r.t xdydx=2(4x3)-3x2+0y'=8x3-3x2diff w.r.t x…

Q: Use the graph of fand g. Let p(x) = f(x)g(x) and q(x) = -2 10 8 6 4 2 (a) Find p'(4). p'(4) = (b)…

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Q: Find y as a function of a if y" - 3y" y + 3y = 0, y(0) = -7, y' (0) = -4, y" (0) = 9. y(x) =

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Q: Find the partial derivative of the following                     y = 3x2z + xz3 – 3z/x2

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Q: do f() dr where f() = - sin o + sin o cos o = sin ø(y cos o- 1).

A: Given dϕdr=fϕwhere fϕ=-sinϕ+γsinϕcosϕ=sinϕγcosϕ-1

Q: Find y as a function of a if = y"-7y" +12y = 6e², y(0) = 24, y' (0) = 16, y" (0) = 27. y(x)=

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Q: Find all second order derivatives for z = 7ye5x Zxx Zyy = Zxy=Zyx = |

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Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) g(x) q(x) y 10 8. f 4 2 -2 4 6. 8 10 -2 (a) Find…

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