#3 Evaluate F. dr. F(x, y) = 3xi + 8yj C: r(t) = ti + V4 - t²j, -2 st< 2

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A: Find the derivative

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A: answer is in next step

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A: Given:       y''+2· y'+5· y=4 e-t cos2t      y0 =1   ,    y'0=0

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Q: Find the partial derivative. revIlzy

A: We can find the partial derivative as below.

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A: This question is related to differential equations, we will solve it using given using given…

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Q: (4)Show correct Answer for this 1 question and Highlight it, tysm!!

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A: To find the antiderivative of fx=52x.

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A: see below the answer and explanation

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A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

Q: Find V· (V × F) if F(x, y, z) = 7 sin xi + 5 cos(7:x – 8y)j + 6zk. V . (V × F) :

A: F(x,y,z)=7sinx i+ 5 cos( 7x-8y)j+6zk

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A: We have to find the integral

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Q: Find div F and curl F if F(x, y, z) = 7e*Y i – 6 cos yj+ 10 sin? z k. - div F= curl F=

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