Questions from General Calculus

Q: Determine whether the sequence converges or diverges. If it converges,

Determine whether the sequence converges or diverges. If it converges, find the limit.

Q: Determine whether the sequence converges or diverges. If it converges,

Determine whether the sequence converges or diverges. If it converges, find the limit.

Q: If the parametric curve x = f(t), y =

If the parametric curve x = f(t), y = g(t) satisfies g’(1) = 0, then it has a horizontal tangent when t = 1.

Q: If x = f(t) and y = t(

If x = f(t) and y = t(t) are twice differentiable, then

Q: The parametric equations x = t2, y = t4 have the

The parametric equations x = t2, y = t4 have the same graph as x = t3, y = t6.

Q: First make a substitution and then use integration by parts to evaluate

First make a substitution and then use integration by parts to evaluate the integral.

Q: Find the Maclaurin series of f (by any method) and

Find the Maclaurin series of f (by any method) and its radius of convergence. Graph f and its first few Taylor polynomials on the same screen. What do you notice about the relationship between these p...

Q: The graph of y2 = 2y + 3x is a parabola.

The graph of y2 = 2y + 3x is a parabola.

Q: A tangent line to a parabola intersects the parabola only once.

A tangent line to a parabola intersects the parabola only once.

Q: Evaluate the integral. /

Evaluate the integral.