dx for 3xe dt 9-In 729 +6ln x, with the conditions 3 12, х%3D3, у-0. dt Assume x and y are functions of t. Evaluate dy (Type an exact answer in simplified form.)

Q: Find dy/dt and d^2y/dt^2 for function aln(y)+b cos^2(ty)=2t^3 where a  and b are certain constants.

A: Derivative two times simultaneously and use the forma for derivative

Q: Let y = V7- x. Find the differential dy when a = 4 and dx 0.3 -0.0866 %3D %3D Find the differential…

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Q: dx Given dt 1 and y = 6. Find for x2 + y² = 100 dt O A. 3 4 O B. 3 4 3

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Q: 1 dx dy A point is moving along the graph of the functiony = such that = 4 centimeters per second.…

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Q: (a) Find the differential dy. y = rad(15+x2) (b) Evaluate dy for the given values of x and dx. x =…

A: a)   The given function is y=15+x2. The differential of y is,…

Q: Let y = 5√√/T. Find the change in y, Ay when x P 3 and Ax 0.2 = Find the differential dy when x = 3…

A: Given the function y=5x

Q: Solve the initial-value problem for a as a function of t . dx (t² – 6t + 5). = 1, (t > 5, x(8) = 0)…

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Q: dy dx Assume x and y are functions of t. Evaluate for 3xy-3x+ 5y³ = -195, with the conditions dt dt…

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Q: dy for 4xeY = 12- In 729 +6ln x, with the conditions dt Assume x and y are functions of t. Evaluate…

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Q: f(2) = | : t2 – 1 dt 1+ cos² (t) At what value of ¤| does the local max of f(x) occur?

A: Given that a function f(x) and we find value of x does the local maxima of f(x) occurred. We know…

Q: Q: IF the value of (t) change from sin(“,) to cos( ",5. Find the dF for dx f(x, t) = V1+t³ Sa f(x,t)…

A: To find dFdx, whereF=∫αxβxfx,tdt, and fx,t=1+t3

Q: 2. Assume w=xy* , where x and y are functions of t. dw Find dt dx =2, when x=3, dt dy - 4, and y=1…

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Q: dy/dt= 2e-t/8, t is greater than or equal to 0

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Q: Q3) Find dy/dt of the function y = cos (5sin (t/3))

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Q: Q4 Find dy for all of : dx 3 x(x-2) 1- y = xvInx 2- у 3D x2+1

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Q: Evaluate /f/2e(*+у*+ dV over B where B - {(a, у, 2) : а? + у? +2? < 1}. Тake п %3 3. SSS 2e(z²+y° О…

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Q: dy dx Assume x and y are functions of t. Evaluate for 4xy - 2x + 4y³ = - 28, with the conditions dt…

A: Given,            4xy - 2x + 4y3 = -28 and dxdt= -16, x = 4, y = -1

Q: The general solution dx/dt t+x of t > where t > 0, is x(t) =

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Q: d Evaluate In(et – t²)dt. Briefly explain your answer. dx '1

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Q: Assume x and y are functions of t. Evaluate dy,dt for each of the following.:…

A: We have the given function in x and y as 2xy-5x+3y3=-51 On differentiating both of the side with…

Q: 4x - 6xy? + 3y² = 228; dx = 3, x = -3, y = 4 %3D

A: Given  4x3-6xy2+3y2=228 ; dxdt= 3   at     x=-3    , y=4

Q: dx dy for 4xy-5x+4y = - 176, with the conditions dt = - 12, x=4, y = - 3. dt Assume x and y are…

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Q: dy for 2xy - 3x+5y = - 30, with the conditions dx Assume x and y are functions of t. Evaluate = -…

A: 2xy-3x+5y3=-30 Differentiating with respect to t, we get…

Q: dy for the following implicit function at p(1,1) Find dx Vxy +1 = y is O 1 O 1/2 O -1/2

A: A detailed solution is given below.

Q: Let y = (x² + 3)5 Find the differential dy when a= 5 and dr 0.4 40265318400 Find the differential dy…

A: Solve the given

Q: (2t + 4 dt = J t² +1 antidifferentiation c) Evaluate (Don't forget to include the constant of.

A: Find the integration of (2t+4)/(t2 +1)

Q: Q10. Expand f (x, y) = e" cosx about up to third degree terms by using Taylor's theorem for a…

A: The given problem is to find the third degree taylor polynomial of given function f(x,y) about point…

Q: dw at t= dt For the functions w = - 4x + 10y, x= cos t, and y = sin t, express as a function of t,…

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Q: dy dx Assume x and y are functions of t. Evaluate for 4xy -3x + 5y° = - 210, with the conditions dt…

A: Given: 4xy-3x+5y3=-210 with the condition dxdt=-15, x=5, y=-3 To find: differentiate the given…

Q: dy Find dx x2 y = dt dy dx (Type an exact answer in terms of e.)

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Q: Assume x and y are functions of t. Evaluate dt dx 3 y = 2x +93, dt = 2, x = 5, y = 7 (Round to two…

A: Given: y3=2x3+93 ; dxdt=2, x=5, y=7.

Q: df Q4) A) Find dx by using chain rule if f = , u=-1 , x=-1 u+1 B) Evaluate the following integral:…

A: A) To find the derivative of the given function f=u-1u+12 with u=1x2-1

Q: Evaluate: L{t f -t e2t Cos t dt}.

A: Evaluate: Lt∫0te2t costtdt First of all we find    L(cost)=ss2+1L(e2tcost) =…

Q: 2. Solve the IVP 2x + y + 2xyy' = 0, with y(1) = –2. d (Hint: This ODE is neither first order…

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Q: dy dx Assume x and y are functions of t. Evaluate for 4xy - 7x+4y3 = - 92, with the conditions dt =…

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Q: dy dy For the function dt 7 cos t, the third order derivative dt3 is %3D

A: derivative with respect to t first oder derivatinve dydt is ddt(y). (which is given in the…

Q: (a) Find dy/dt, given x = 4 and dx/dt = 4. dy/dt = (b) Find dx/dt, given x = 49 and dy/dt = 8. %3D…

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Q: dy for 2xy - 2x + 3y3 = - 42, with the conditions dt dx 3 - 12, х%3D3, у%3 Assume x and y are…

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Q: Solve the initial-value problem for x as a function of t. dx (t – 12t + 35) dt 1, (t > 7, x(9) = 0)…

A: The given initial value problem is as below.

Q: Solve the initial-value problem for a as a function of t . dx (t2 – 11t + 24) = 1, (t > 8, x(9) = 0)…

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V3x – 2; from x = 2 to x…

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Q: Let y = 4.x?. Find the change in y, Ay when x = 1 and Ax = 0.4 Find the differential dy when x = 1…

A: Given: y=4x2 To find the change in y, ∆y  x=1 and ∆x=0.4

Q: Assume x and y are functions of t. Evaluate dy,dt for each of the following.: y2 - 8x3 = -55; dx/dt…

A: y2-8x3=-55, dx/dt=-4x=2,y=3

Q: xy = 2 (a) Find dy/dt, when x = 8, given that dx/dt = 14. (b) Find dx/dt, when x = 1, given that…

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Q: Let y = 4/T. Find the change in y, Ay when x = 1 and Ax = 0.3 Preview Find the differential dy when…

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Q: Assume x and y are functions of t. Evaluate DY/DT for 4xy-4x + 6y^3 = -258, with the conditions…

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Q: d If g(x) == _S^*[e' − In(2t+1)]dt, find g ''(x) . - dx -2 2 A (2x + 1)² 4 B (2x + 1)² 4 (2x+1)2…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 7/7/7/72 dy= (3x72xx)dx y =…

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Q: Use the differential dy to approximate Ay when x changes as indicated. y = V 3x – 2; from x = 2 to x…

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Q: the separable Pential equation dy In(x³) dx ху subject to the initial condition У(1) %3D —3.…

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