Questions from General Calculus

Q: For the function f whose graph is given, state the following

For the function f whose graph is given, state the following. e. The equations of the asymptotes

Q: For the function g whose graph is given, state the following

For the function g whose graph is given, state the following.

Q: Sketch the graph of an example of a function f that satisfies

Sketch the graph of an example of a function f that satisfies all of the given conditions.

Q: Find an equation of the tangent line to the curve at the

Find an equation of the tangent line to the curve at the given point. y = 2x + 1/x + 2, (1, 1)

Q: a. Find the slope of the tangent to the curve y

a. Find the slope of the tangent to the curve y = 3 + 4x2 - 2x3 at the point where x = a. b. Find equations of the tangent lines at the points (1, 5) and (2, 3). c. Graph the curve and both tangents...

Q: Determine the infinite limit. /

Determine the infinite limit.

Q: a. Find the slope of the tangent to the curve y

a. Find the slope of the tangent to the curve y = 1/√x at the point where x = a. b. Find equations of the tangent lines at the points (1, 1) and (4, 1/2). c. Graph the curve and both tangents on a c...

Q: a. A particle starts by moving to the right along a

a. A particle starts by moving to the right along a horizontal line; the graph of its position function is shown in the figure. When is the particle moving to the right? Moving to the left? Standing s...

Q: Shown are graphs of the position functions of two runners, A

Shown are graphs of the position functions of two runners, A and B, who run a 100-meter race and finish in a tie. a. Describe and compare how the runners run the race. b. At what time is the distan...

Q: If a ball is thrown into the air with a velocity of

If a ball is thrown into the air with a velocity of 40 ft/s, its height (in feet) after t seconds is given by y = 40t - 16t2. Find the velocity when t = 2.