let c1=(e^-4t,sin(t),3t^3) c2= (e^4t,cos(-5t),3t^3) d/dt[c1 dot c2]=? d/dt[c1 cross c2)=

Q: Solve 3x^2-Siny=0, xy^2-x^3+7=0, initial point (-1,2), also find jacobian inverse

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Q: FCx): 2x-5xナ3 find f'co).

A: We are solving the first question and for the next question post the question again and also mention…

Q: y +5y' +6y = 4e"+5 sinx

A: Given :-  y'' +5y' +6y = 4e-x +5sin x

Q: What is dy/dx for y=cos(sinx)? O a) dy/dx = -sin(cosx) Ob) dy/dx = sin(sinx) O c) dy/dx =…

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Q: if y = secx prove that y^2+y=2y^3

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: Use the variation of parameters to solve the following equation: d^2y/dx^2- 3 (dy/dx)+2y=cos⁡(e^-x)

A: I am attaching image so that you understand each and every step.

Q: Find f'co) if fco)= (Since\ %3D

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Q: For the linear operator L = D^2 −4D + 8, determine L(y) for y = e^(2t), y = e^(2t)sin(2t), and y =…

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Q: Question 3.5: Calculate o dz. Question 3.6: Calculate o 1 - dz .

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Q: f'(1). et f(x) = 3x 6x-7 Find f'(x).

A: Given query is to find derivative.

Q: Find f if f"(t) = 2et + 3 sin(t), ƒ(0) = 2, ƒ(π) = 5. f(t) = = 2e^t-3sint+ (2e^(pi) - 5)/(pi)t

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Q: 4(ax' + bx + e)]= (Sax + 3bx + c) d 1 dx 2x ,

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Q: What is the derivative 7 of y = (3x + 1)²? 21 dx dy = 6 (3x + 1)²¹ dx = dy 6 (3x + 1)² dx = 7 (3x +…

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Q: The general solution for the equation y'=x*e(x^2+y) can be given in the form of: ?ex^2+2e-y=k a) x…

A: Solve by separable variable method

Q: Find d^2y/dx^2  Sinx+cosy=1

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Q: What is the I.F of (2y^2+3x)dx+xydy=0?

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Q: Find the derivative. tan x y=2x-3 2 dx 蚊ě dy (2x-3)2 dy sec2x - 2tan x (2x-3)2 116 dx (2x-3)sec x…

A: y=tanx2x-3formula used (i)  d dx(xn)=nxn-1(ii)  d dx(tanx)=sec2x(iii)  d dx(ab)=b×d dx(a)-a×d…

Q: Suppose that I'm (f`∞x) = (x (24-1) and f(0) = 3-2i, f(1) = 6 -21, Find f(1+i)

A: Given that Imf'z=6x2y-1 To find: f(1+i).

Q: Please choose one from the above and integrate it

A: Given:

Q: 5 cos? (- x), then f' ) %3D is

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Q: Find dxdz -2 -3lnax) a= constant

A: find d2ydxdz y=(z14-3lnax2)-2

Q: Evaluate e^(z^2) if z = x+yi Select the correct response: e^(x^2+y^2) [(cos 2xy) - i sin 2xy)] none…

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Q: If 2x^4 + x^2y^2 - y^8 = 3x^2 + 4,what is the value of dyldx at point (4,1)? %3D

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Q: find |A^T| |A^2| |AA^T| |2A| |A^-1| A= [ 5. -10] [4, 6]

A: As we know that the properties of determinant: 1 A=AT2 A2=A23 AB=AB4 KA=KnA where n is the order of…

Q: 5. (y" – y) = e-X cos(3x) %3D

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

Q: (бх - Зу +2)dk - (2xх - у -1) dy 3D0 |

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