A right triangle with legs of lengths x and y has its area given by the following. If the rate of change of x is 2 units per minute and the rate of change of y is 5 units per minute, find the rate of change of the area (in units"/min) when x = 6 and y = 5. units/min

A right triangle with legs of lengths x and y has its area given by the following. If the rate of change of x is 2 units per minute and the rate of change of y is 5 units per minute, find the rate of change of the area (in units"/min) when x = 6 and y = 5. units/min

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...

See similar textbooks

Related questions

Q: A rectangular trough is 10ft. long and 3ft. wide. Find how fast the surface rises, if water flows in…

A: Since you have asked multiple questions in a single request we will be answering only the first…

Q: The length x of a rectangle is decreasing at a rate of 5cm/seconds and the width y increasing at a…

Q: Suppose you have a square that is 300 ft on each side. Also suppose the length is increasing at the…

A: Given that a square that is 300 ft on each side and the length is increasing at the rate 3ft/sec,…

Q: if the base of triangle is constantly 4 cm find the rate at which the area of the triangle is…

Q: Two planes, at elevations differing by 144 meters, pass overhead, heading in opposite directions.…

Q: The length of a rectangle is increasing at the rate of 4 cm/sec, while the width is increasing at…

Q: What is the rate of change of the area?

Q: There is a constant outflow of a liquid into a inverted conical vessel 15 m deep and 7.5 m in…

A: Find the rate of change of volume of water in the cone, with respect to time:…

Q: The length { of a rectangle is decreasing at a rate of 8 cm/ sec while the width w is increasing at…

Q: area given by the following. A = 1/2xy If the rate of change of x is 2 units per minute and the…

Q: The length of a rectangle is given by 4t - 3 and its height is 2t, where t is time in seconds and…

A: Given the rectangle whose length and height are given L=4t−3H=2t3

Q: An eagle flying horizontally at an altitude of 6 m and speed of 4 m/s passes over a beaver standing…

Q: 2. One leg of a right triangle is 30 cm long. The other is increasing. Find the rate of change of…

Q: A right triangle has legs of 3 inches and 4 inches whose sides are changing. The short leg is…

A: dhdt=7 in/sec , dbdt = -10 in/sec

Q: A baseball diamond has the shape of a square with sides 90 feet long, suppose the player is running…

A: It is given that a baseball diamond has the shape of square with side 90 feet long. Construct the…

Q: A car leaves an intersection traveling west. Its position 4 seconds later is 22 ft from the…

Q: A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over a…

A: From the given question we get the figure below, By Pythagorus theorem we get, (hyp)2=(opp)2+(adj)2…

Q: If the radius of a circle increases at a rate of o.01 inch per second, find the rate of change of…

A: Let the radius be r, The rate of change of radius , drdt=0.01 inch per secondArea of the circle is…

Q: The radius of a circle is increasing at the rate of 0.7 cm/s. what is the rate of

Q: If the rate of change in volume of a sphere is equal to its rate of change of its radius. What is…

A: if we let the radius of square = r unit then volume of the square =4/3 πr3 unit3

Q: A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is…

Q: Two parallel sides of a rectangle are increasing in length at the rate of 2 in/sec while the other…

A: Given: The two parallel sides of a rectangle are increasing in length at the rate of 2 in/sec. The…

Q: Each of two sides of a triangle are increasing at the rate of 1⁄2 foot per second, and the included…

A: Rate of increase in side lengths = 0.5 ft/s Rate of decrease in angle = -2 degree/s Angle between…

Q: At a given instant the legs of a right triangle are 16 cm and 12 cm, respectively. The first leg…

A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at…

Q: The time rate of change of the radius of a sphere is 1/2π, when its radius is 5 cm , find the rate…

A: According to the question, we have to find the rate of change of surface area of the sphere with…

Q: The radius of a circle is increasing at the rate of 0.7 cm/sec.what is the rate of increase of its…

A: The radius of a circle is increasing at the rate drdt= 0.7 cm/sec r = radius of the circle

Q: 2. The radius and lateral area of a right circular cylinder change at the rates of 1 cm/s and -2…

Q: A conical tank that is 14 ft across the entire top and 12 ft deep is leaking water. The radius of…

Q: What is the average rate of change of the height of water in the vase with respect to the volume of…

Q: What will be the rate of change of the surface of the sphere when the radius of the sphere is 5.00…

A: Given; Radius= 5cm And time rate of change in Radius is= π/2.

Q: A right triangle with legs of lengths x and y has its area given by the following. A = If the rate…

Q: The intensity of illumination at any point from a light source is proportional to the square of the…

A: Let k be the coefficient of intensity of weaker light source. The intensity of the stronger light…

Q: The top of a ladder that is 5 m long slides down a vertical wall at a rate of 2 m/s. At what rate…

A: Given :Length of ledder=5m

Q: A cube's volume increases at a rate of 108 ft3/min. At what rate is the cube's edge length changing…

Q: The lengths of the edges of a cube are increasing at a rate of 8 ft/min. At what rate is the surface…

Q: The radius of a circle is increasing at a constant rate of 0.2 meter per second. What is the rate of…

A: Given Where r is radius. and

Q: A cylindrical pool has a height of 8 feet and radius of 6 feet. How fast is the volume (in cubic…

A: Volume of cylindrical shape V=πr2h ------------------(1)

Q: here is a constant inflow of a liquid into a conical vessel 15 feet deep and 7.5 feet in diameter at…

A: The height of the conical vessel h = 15 feet. Diameter of the lop d = 7.5 feet, The radius of the…

Q: The altitude of a triangle is increasing at a rate of 1 cmminwhile the area of the triangle is…

A: Givendhdt=1cm/mindAdt=2cm2/minA=100cm2h=10cm

Q: One base of a trapezoid is decreasing at a rate of 8 km/sec and the height of the trapezoid is…

A: Given: One bae of a trapezoid is decreasing at a rate of 8 km/sec and the height of the trapezoid is…

Q: The radius of a right circular cylinder is given by square root t + 9 and its height is 1/9…

A: GivenThe radius of a right circular cylinder and height is given by

Q: A right triangle has legs of 21 inches and 28 inches whose sides are changing. The short leg is…

A: Length of the legs are 21 inches and 28 inches and the short leg is increasing by 10 in/sec and the…

Q: Find the rate of change. Volume V of a cylinder with respect to radius if the height is equal to the…

Q: A person is walking at a rate of 5 ft per hour toward the foot of a flag pole 60 feet high. At what…

Q: The radius of a circle is increasing at a constant rate of 0.2 meter per second. What is the rate of…

Q: A right triangle with legs of lengths x and y has its area given by the following. If the rate of…

Q: A car leaves an intersection traveling west. Its position 4 sec later is 21 ft from the…

Question

100%

A right triangle with legs of lengths x and y has its area given by the following.
A
If the rate of change of x is 2 units per minute and the rate of change of y is 5 units per minute, find the rate of change of the area (in units/min) when x = 6 and y = 5.
|units/min

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Chain Rule$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
A piece shown by the shaded portion is to be cut from a square plate 128 millimeters on a side. a. Compute the area of the piece to be cut. Round the answer to the nearest square millimeter. b. After cutting the piece, determine the percentage of the plate that will be wasted.
The ideal diameter of a rod needed for a machine is 75 mm. The actual diameter can vary from the ideal diameterby 0.05 mm. What range of diameters will be acceptable to the customer without causing the rod to be rejected?