a. Use implicit differentiation to find the derivative p. Find the slope of the curve at the given point. v² = x; (1,1) dx

Q: lim 1 t-> +→> -∞0 17 + cot = ² +

A: note that cot^-1(- infinty)=0

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Q: (d) The area of the triangle AKMN is A=25-√√3 in². If <MKN = 30°, find |KN|=|MN|= ?

A: Given , A(∆KMN)=253.|KN|=|MN|∠MKN=30°

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Q: Compute the partial derivatives: ?х 8z dy || 8x

A: Given that , z=8xx2+y2 find the partial derivatives.

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A: a. Answer : B : limit does not exist   b.

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A: Given data:- x=acos2u+bsin2u ∫dxx-ab-x=2arctanx-ab-x+c

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A: Given query is to find the solution of the differential equation.

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A: In such type of problem we generally use the pythagoras triangle rule . ie.x2+y2=z2

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A: Topic:- application of integration

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Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: let   p=amount of bacteria present   thendpdt=growth rate