Draw a tangent to the curve of the circle x^2+y^2=1. If the events x of the point of contact increase at a rate of 3 cm per second, find the rate of change of the segment x of this tangent at the moment when x =0.5 cm

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A: Since there are many questions, therefore find the solution of the first question.

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A: According to Bartleby guidelines I did only first one because this is multiple question.

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Q: If f'(x) = g'(x) on the interval (a, b), then f(x) = g(x) on (a, b). O True O False

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Q: QUESTION 10 The following is a unit vector: n-hat= [0.281, 0.186, 0.942] Let alpha be 20 degrees. We…

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Q: If F(s) = 4s² +48 +4 s(2s² + 5s + 10) f(0) equals: lim f(t) equals: t4x f'(0) equals: is the Laplace…

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Q: SOLVE (D^2 + 1) y = csc x cot x O a. y=c1 cos x + c2 sin x - x sin x + cos x In \sin x O b. y = c1…

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A: y''+6y'-2y=7y(0)=-7, y'(0)=2 Taking Laplace transform both sides Ly''+6Ly'-2Ly=L7

Q: Find the indicated trapezoid approximations to the following integral. 10 √2x²0 2x² dx using n = 2,…

A: Solution :-