Questions from General Calculus

Q: Use either a computer algebra system or a table of integrals to

Use either a computer algebra system or a table of integrals to find the exact length of the arc of the curve y = ex that lies between the points (0, 1) and (2, e2).

Q: Use either a computer algebra system or a table of integrals to

Use either a computer algebra system or a table of integrals to find the exact length of the arc of the curve y = x4/3 that lies between the points (0, 0) and (1, 1). If your CAS has trouble evaluatin...

Q: Find a power series representation for the function and determine the interval

Find a power series representation for the function and determine the interval of convergence.

Q: Sketch the curve with equation x2/3 + y2/3

Sketch the curve with equation x2/3 + y2/3 = 1 and use symmetry to find its length.

Q: (a) Sketch the curve y3 = x2. (

(a) Sketch the curve y3 = x2. (b) Use Formulas 3 and 4 to set up two integrals for the arc length from (0, 0) to (1, 1). Observe that one of these is an improper integral and evaluate both of them. (c...

Q: Find the arc length function for the curve y = 2x3/

Find the arc length function for the curve y = 2x3/2 with starting point P0(1, 2).

Q: (a) Find the arc length function for the curve y

(a) Find the arc length function for the curve y = In(sin x), (b) Graph both the curve and its arc length function on the same screen.

Q: Find the arc length function for the curve /

Find the arc length function for the curve

Q: The arc length function for a curve y = f x),

The arc length function for a curve y = f x), where f is an increasing function, is / (a) If f has y­ intercept 2, find an equation for f. (b) What point on the graph off is 3 units along the curve fr...

Q: A steady wind blows a kite due west. The kite’s height

A steady wind blows a kite due west. The kite’s height above ground from horizontal position x = 0 to x = 80 ft is given by / Find the distance traveled by the kite.