14. A child is flying a kite. If the kite is 90 feet above the child's hand level and the wind isblowing it on a horizontal course at 5 feet per second, how fast is the child letting out the cordwhen 150 feet of cord is out? (Assume the cord forms a straight line – i.e. there is no slackin the string.)15. Sand is falling off a conveyor belt at a rate of 12 cubic feet per minute into a conicalpile. The diameter of the pile is four times the height. At what rate is the height of the pilechanging when the pile is 10 feet high?

Since solve the first question for you. If you want any specific question to be solved then please…

15. Sand is falling off a conveyor belt at a rate of 12 cubic feet per minute into a conical pile. The diameter of the pile is four times the height. At what rate is the height of the pile changing when the pile is 10 feet high?

15. Sand is falling off a conveyor belt at a rate of 12 cubic feet per minute into a conical pile. The diameter of the pile is four times the height. At what rate is the height of the pile changing when the pile is 10 feet high?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Concept explainers

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

Question

14. A child is flying a kite. If the kite is 90 feet above the child's hand level and the wind is
blowing it on a horizontal course at 5 feet per second, how fast is the child letting out the cord
when 150 feet of cord is out? (Assume the cord forms a straight line – i.e. there is no slack
in the string.)
15. Sand is falling off a conveyor belt at a rate of 12 cubic feet per minute into a conical
pile. The diameter of the pile is four times the height. At what rate is the height of the pile
changing when the pile is 10 feet high?

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