Questions from General Calculus


Q: Use a graphing utility to graph the equation. Find an equation

Use a graphing utility to graph the equation. Find an equation of the tangent line to the graph at the given point and graph the tangent line in the same viewing window.

See Answer

Q: Use a graphing utility to graph the equation. Find an equation

Use a graphing utility to graph the equation. Find an equation of the tangent line to the graph at the given point and graph the tangent line in the same viewing window.

See Answer

Q: x2 + y2 = 25 (4, 3), (-

x2 + y2 = 25 (4, 3), (-3, 4) Find equations for the tangent line and normal line to the circle at each given point. (The normal line at a point is perpendicular to the tangent line at the point.) Use...

See Answer

Q: Find equations for the tangent line and normal line to the circle

Find equations for the tangent line and normal line to the circle at each given point. (The normal line at a point is perpendicular to the tangent line at the point.) Use a graphing utility to graph t...

See Answer

Q: Show that the normal line at any point on the circle x2

Show that the normal line at any point on the circle x2 + y2 = r2 passes through the origin.

See Answer

Q: Two circles of radius 4 are tangent to the graph of y2

Two circles of radius 4 are tangent to the graph of y2 = 4x at the point (1, 2). Find equations of these two circles.

See Answer

Q: 25x2 + 16y2 + 200x – 160y + 400 = 0

25x2 + 16y2 + 200x – 160y + 400 = 0 Find the points at which the graph of the equation has a vertical or horizontal tangent line.

See Answer

Q: 4x2 + y2 – 8x + 4y + 4 = 0

4x2 + y2 – 8x + 4y + 4 = 0 Find the points at which the graph of the equation has a vertical or horizontal tangent line.

See Answer

Q: Use a graphing utility to sketch the intersecting graphs of the equations

Use a graphing utility to sketch the intersecting graphs of the equations and show that they are orthogonal. [Two graphs are orthogonal if at their point(s) of intersection, their tangent lines are pe...

See Answer

Q: Find the derivative of the function. /

Find the derivative of the function.

See Answer