Calculus Early Transcendentals

Find the limit.

Simplify the expression.

Evaluate the limit using l'Hôpital's Rule.

A telephone line hangs between two poles at 12 m apart in the shape of the catenary , where x and y are measured in meters. Find the slope of this curve where it meets the right pole.

Find the numerical value of the expression.

Find the derivative.

Find the derivative of the function. Simplify where possible.

Evaluate the limit using l'Hôpital's Rule.

Find the exact value of the expression.

If is invested at interest, find the value of the investment at the end of years if the interest is compounded .

Find the value of the expression accurate to four decimal places.sinh 4

Find the numerical value of the expression.

The half-life of cesium- is years. Suppose we have a -mg sample. How much of the sample remains after years?

Differentiate the function.

The half-life of cesium is years. Suppose we have a -mg sample. Find the mass that remains after years.

Evaluate the limit using l'Hôpital's Rule.

Strontium- has a half-life of days. A sample has a mass of mg initially. Find a formula for the mass remaining after days.

Find the limit.

If is invested at interest, find the value of the investment at the end of years if the interest is compounded .

Find the exact value of the expression.