3. dy/dt = e e- -∞

Q: 1 lim- x+ In x 2 dt =? e

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Q: Find the partial derivative fx and fy of the given function 3x f(x, y) = -y2 :/ cos(r? – - t + 1)dt.

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Q: 9. dx dt = x2 – 5x + 4 =

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Q: et d Calculate dt \e +1) ()

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: =S₁² Vt2 + 17 dt. Find 8 Let F(x) = (a) F(8) = (b) F'(8)= (c) F"(8) -0

A: Let .To find the following:

Q: (a) Determine all critical points of the given system of equations. (b) Find the corresponding…

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Q: 3. Find the dy/dx of * y? + 2x – 3y = 0

A: The given function,         y2+2x-3y=0

Q: (i) B(2,3)-

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Q: Let f(y) be a continuous function. Suppose that f(−10) > 0 and f(10) < 0. Show that there is an…

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Q: 1-Find the mixed partial derivative: w = e* +x In(y)+y ln(x)

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Q: Solve DE (1+e** )ax +e x/y 1 dy=0

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Q: 19 If f(x) = t dt then %3D f'(x) =

A: Given that  f(x) = ∫x19t4 dt  Here we have to find f'(x) .

Q: dy 3x2 + 2 and dt dx Find 3 if y = – 2. at x - dt dx dt

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Q: dy at x = 1 if y = 4x² + 1 and dt dx Find – 1. dt dy dt || ||

A: Solve the following derivative

Q: Find dx dt dx dt || at x = 5 if y = 4x² - 4 and dy dt = 3.

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Q: solve using ODE from t=0 to 2 when y(0)=1 dy/dt= yt^3 - 1.5y

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Q: 2. Use central difference approximations to estimate the first and second derivatives of y = ex at x…

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Q: よ2 et + 1 lim xー0 |x2 dt = ? 1+ v2 + et 1.

A: We will use DL hospital rule and leibniz rule to solve this question.

Q: find dy/dt Y= (1+cos4t)^5

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Q: Let F (x) = (1 + t2)/5 dt - Then F'(x) =

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Q: S t /1+3t - dt

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Q: dx? + (m – 1)(ax³ +b+ cy) = 0 dt2 How do you split this into 2 first order derivatives? Also what is…

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Q: (D² – 2D + 1) y = e*/x3

A: Given ,(D2-2D+1)y=exx3The A.E. is, m2-2m+1=0(m+1)(m+1)=0⇒m+1=0 or m-1=0⇒m=-1,-1Therefore…

Q: 5. dx/dt = (4+x)(y-x), dy/dt = (10-x)(y + x)

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Q: Find dx dt dx dt at x = −5 if y = −4x² – 5 and dy dt = -4.

A: y=-4x2-5given  dydt=-4d dx(xn)=nxn-1d dx(constant)=0

Q: xy5 = zy"+yx²

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Q: 2. S(e" + e-3)² dt

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Q: Find dy if y = In* +1 7 -t dy dt

A: Derivative is below