5) 14 d ²A = 6²₁-24 £²; + 4 vint k dto find A given A = 2itj and dA dt -i-3k at t = 0

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: dcdt=0 , where , 'c' is any constant. dexdt=ex .dxdt

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A:

Q: Tte ne-(s+a)t dt

A:

Q: 15. Calculate (41 + 3, r?. –4r³)dt.

A: To calculate: ∫034t+3, t2,-4t3dt Solution: Power rule of integration states that: ∫xndx=xn+1n+1…

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A:

Q: d | Vsint dt dx 3 2.

A:

Q: For the given line, what are the slope and y-intercept? slope=  y-intercept=

A: Given,

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A: We have evaluate to the given expression

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A:

Q: + y = ty dt

A:

Q: 3 5. S (t + ²1) ²³ dt t

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A: we know that, derivative of a^x = lna * a^x  so from this we will solve the quesiton

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A: Solution

Q: [-+] 5t dy 3.1는-51%3D-y dt

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Q: Find the total differential. 8x + y 3z - 2y dw = W = 8 3z-2y dx + 3z- - 4y - 16x (3z-2y)² Jdy + (7…

A:

Q: dy 1 andy 3x? + 1 if- dx Find- atx = -1. dt dt 1 6 -6 ||

A:

Q: |(181? +t+2) dt dx 8.

A: Given expression is

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A:

Q: State whether the equation is ordinary or partial, linear or non-linear, and give its order and…

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Q: Write the equation „dr te +x dt dr in the form of +p(t)x=q(t). Then identify p(t) and q(t). dt…

A:

Q: Solve the following D.Es: 1. (x + 1) = x(y² + 1).

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Q: dt Determine dw if t = (6r* +3r*) -(*+2r-5)'. -s)'. and w =

A:

Q: d. Evaluate dx dt (t2 +2t) -1

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Q: Y 글+ 슬이 dt =?

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