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Calculus

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Q: Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. Sh...

A: To Show that these families of the curve are orthogonal trajectories of each other.

Q: Find the limits. Write ∞ or -∞ where appropriate. limx2 - 3x + 2/x3 - 4xas x→1+

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Q: Find the equation of the normal line to the curve y=x3+ex at x0=0.

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Q: Let F(x) = e -5¢4 dt. Find the MacLaurin polynomial of degree 5 for F(x). Use this polynomial to est...

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Q: A rock climber is about to haul up 100 N (about 22.5 lb) of equipment that has been hanging beneath ...

A: Work required to lift equipment alone

Q: Find general solutions of the differential equation xy'=y+2(xy)^1/2

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Q: Rewrite y in the more convenient form, y = + C.

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Q: Approximate 3√2 to 6 decimal places.

A: To Approximate up to 6 decimal places.

Q: Use Newton’s method to find all the roots of theequation correct to eight decimal places. Start by d...

A: Given:

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Use a calculator to evaluate the function at the indicated values. Round your answers to three decimals. h(x) = e-2x; h=), h(2.5), h(-1), h(-n) 서금)- h(2.5) h(-1) = h(-n) %3D