Questions from General Calculus

Q: (a) Estimate the area under the graph of f (

(a) Estimate the area under the graph of f (x) = 1/x from x = 1 to x = 2 using four approximating rectangles and right endpoints. Sketch the graph and the rectangles. Is your estimate an underestimate...

Q: (a) Estimate the area under the graph of f (

(a) Estimate the area under the graph of f (x) = sin x from x = 0 to x = π/2 using four approximating rectangles and right endpoints. Sketch the graph and the rectangles. Is your estimate an underest...

Q: A curve passes through the point (0, 5) and

A curve passes through the point (0, 5) and has the property that the slope of the curve at every point P is twice the y-coordinate of P. What is the equation of the curve?

Q: Determine whether the planes are parallel, perpendicular, or neither.

Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle between them. (Round to one decimal place.) x - y + 3z = 1, 3x + y - z = 2

Q: (a) Estimate the area under the graph of f (

(a) Estimate the area under the graph of f (x) = 1 + x2 from x = -1 to x = 2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the ap...

Q: Determine whether the planes are parallel, perpendicular, or neither.

Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle between them. (Round to one decimal place.) 2x - 3y = z, 4x = 3 + 6y + 2z

Q: Determine whether the planes are parallel, perpendicular, or neither.

Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle between them. (Round to one decimal place.) 5x + 2y + 3z = 2, y = 4x - 6z

Q: Find parametric equations and symmetric equations for the line. The

Find parametric equations and symmetric equations for the line. The line through the origin and the point (4, 3, -1)

Q: Use the formula in Exercise 12.4.45 to find

Use the formula in Exercise 12.4.45 to find the distance from the point to the given line. (4, 1, -2); x = 1 + t, y = 3 - 2t, z = 4 - 3t Exercise 12.4.45:

Q: Find parametric equations and symmetric equations for the line. The

Find parametric equations and symmetric equations for the line. The line through the points (0, 1 2 , 1) and (2, 1, -3)