The position of a particle is given by the equation $ (t) = 4 t3 - 2t2 + t - 1 where s is in feet and t in seconds. At what time will its velocity be constant? (A seconds (B) seconds 8 - seconds - 6 seconds

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A: We have to find the differential equation.

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A: We have, cos (A+B) = cos A cos B - sin A sin B sin (A-B) = sin A cos B-cos A sin B

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A: topic - equation of line

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A: Solution

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A: We first separate the variables

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A: Given: 3y-4x=9  and point -2,1

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A: Given thatThe equation of number of cells in a culture at time t , in hoursN(t)=500et20(b)  rate of…

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A: we have to find a constant solution of  y'=t2y-5t2

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Q: The equation y2 = cx is the general solution of:

A:

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A: Remember:1.if ax2+bx+c=0Then, x=-b±b2-4ac2a2. If y1 and y2 are general solutions of a differential…

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A: • Parallel lines have equal slopes. So, we can use this fact to find the equation of required line…

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A: Given data,                   3  x + 1  = 3 x + 3

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Q: /Solve the following equation ?- 4t+ 6y = t³ +1 dt2

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A: Solution:- The position of a particle is  S=t3-6t2+9t

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A: The given equation represents a straight line.

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A: Given equation is, 3(x+1) = 3x + 3

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A: We have to find the function for velocity.

Q: Solve the equation: y" -y = 2* + Oy=ce to xe +e* (x+c3e2X + CA) Oy=c₁e* + c₂e* + ex (x + c3e-²x +…

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Q: 4. ydx - 4xdy — убdy %3D 0 when x = 4 & y=1

A: Given the differential equation

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A: We can solve this problem using concept of circle.

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A: Here we use one method of linear differential equations with constant coefficients. i.e. The…

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A: Topic: equation of line

Q: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

A: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

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A: