# Questions in Section Calculus I

Find cos(arcsin(x)).

How do we calculate the second derivative of the following implicitly define equation: x^2+y^2=90^2?

Find the derivative of the function using the definition of derivative: f(t)=5t-2t^2.

What is range of csc(x)?

A particle moves along the circle x^2+y^2=25. If x increases at a rate of 2 units per minute, at what rate is y changing when x=3.

How the continuity and one-sided continuity related?

Is it true or false?

A curve in polar coordinates is symmetric about the origin if replacing theta by pi+theta, or replacing r by -r in its equation produces an equivalent equation.

Find the polar coordinates of the point P whose rectangular coordinates are (-2, -2sqrt(3)).

Find the leftmost point on the upper half of the Cardioid r=1+cos(phi).

What is the sum of the Maclaurin series pi-pi^3/(3!)+pi^5/(5!)+...+(-1)^n*(pi^(2n+1))/((2n+1)!)+... ?