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Calculus 2 exam practice problems. Do these, and you'll be 200% ready for your midterm/finals.
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● Evaluate the definite integral of 1/x from x=1 to x=e.● Solve the optimization problem: max f(x,y) = x + y subject to the constraint x^2 +
y^2 = 1.
● Find the equation of the tangent plane to the surface z=x^2 + y^2 at the point
(0,0,0).
, ● Evaluate the line integral of F(x,y) = x i + y j along the curve y=x^2 from (0,0) to
(1,1).
● Solve the separable differential equation y' = 2x - y.
● Determine the limit as x approaches infinity of (1+1/x)^x.
● Find the equation of the normal to the surface z=x^2 - y^2 at the point (0,0,0).
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