Math

posted by .

The following table represents the diameter of the cross section of a wire at continuous heights (feet) above the ground. Assume that each cross section is circular.

Height(ft) 2 6 10 14 18 22 26 30
Diameter 2 2 2.0 1.8 1.6 1.5 1.3 1.2 (feet)

(those should all line up)

a) Approximate how fast the diameter of the tree is changing 22 ft. above the ground. indicate units of measure

b) Use the trapezoid rule to approximate the volume of the tree from 14 ft to 30 ft above the ground. Indicate units of measure

C) the section of the tree from 2 ft to 8 ft is used to make a rectangular beam of length 6 ft. The strength of the beam varies jointly as its width and the square of its height. What should be the width and height of the beam in order to have the strongest beam?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math. HELP!

    A cylinder is to be made of circular cross-section with a specified volume. Prove that if the surface area is to be a minimum, then the height of the cylinder must be equal to the diameter of the cross-section of the cylinder. Maybe …
  2. Math

    A cylinder is to be made of circular cross-section with a specified volume. Prove that if the surface area is to be a minimum, then the height of the cylinder must be equal to the diameter of the cross-section of the cylinder. Maybe …
  3. Math. HELP!

    A cylinder is to be made of circular cross-section with a specified volume. Prove that if the surface area is to be a minimum, then the height of the cylinder must be equal to the diameter of the cross-section of the cylinder. Maybe …
  4. Math. HELP!

    A cylinder is to be made of circular cross-section with a specified volume. Prove that if the surface area is to be a minimum, then the height of the cylinder must be equal to the diameter of the cross-section of the cylinder. Maybe …
  5. math

    a cross section of a hollow circular pipe shows that its inner diameter is 2 1/10inches and that the pipe is 3/5inch thick. what is the outside diameter
  6. Math

    The following table represents the diameter of the cross section of a wire at continuous heights (feet) above the ground. Assume that each cross section is circular. Height(ft) 2 6 10 14 18 22 26 30 Diameter 2 2 2.0 1.8 1.6 1.5 1.3 …
  7. Chemstry

    A 4.1089 g piece of aluminum wire with a circular cross section is 42.06 cm long and has density of 2.6989 g/cm3. What is the volume of the wire and the cross sectional area of the wire in cm2?
  8. Maths

    The size of a parcel despatched through the post used to be limited by the fact that the sum of its length and girth (perimeter of the cross section) must not exceed 6 feet. What was the volume of the largest parcel of square cross- …
  9. Maths

    The size of a parcel despatched through the post used to be limited by the fact that the sum of its length and girth (perimeter of the cross section) must not exceed 6 feet. What was the volume of the largest parcel of square cross- …
  10. Calculus

    The size of a parcel despatched through the post used to be limited by the fact that the sum of its length and girth (perimeter of the cross section) must not exceed 6 feet. What was the volume of the largest parcel of square cross- …

More Similar Questions