A stone is thrown into still water and causes concentric circular ripples. The radius of the ripples increases at the rate 12 inches/sec. At what rate does the area of the ripples increases when its radius in 3 inches? (in sq inche/sec)

Q: each side of a square increases at a rate of 1.5cm/sec .also find the rate at which the area of the…

A: Given,   Each side of a square increases at a rate of 1.5 cm/sec

Q: 16 foot ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

A:

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 16 cm/min.…

A:

Q: Find the rate at which the water level is rising when the water level is 2 cm.

A:

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 10 cm/min.…

A:

Q: The sides of an equilateral triangle are increasing at a rate of 12 inches per minute. At what rate…

A: Area of equilateral triangle A=/--3/4 a2 Here a = side of the equilateral triangle Differentiate A…

Q: A thread is being pulled off a spool at the rate of 59.4 cm per sec. Find the radius of the spool if…

A: Given The linear velocity is 59.4 cm per sec  and angular velocity is 152 revolutions per min .…

Q: the radius of a circle is increasing at a constant rate of 100 meters per second. at what rate is…

A: First of all, consider the area for the circle.Then differentiate on both sides of equation w.r.t…

Q: A ladder 10 feet long is leaning against the side of a vertical wall. The bottom of the ladder…

A:

Q: A ladder 20 feet long leans against a house. What is the rate at the top of a ladder that is moving…

A: Given that ,      A ladder 20 feet long leans against a house. We have to calculate the rate at the…

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 baseball diamond is a square with side 90ft. A batter runs toward first base at 25 feet per…

A: Assume x = distance batter has run at time t andD = distance from second base to the batter attime…

Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: let side of triangle = x    Given

Q: When a circular plate of metal is heated in an​ oven, its radius increases at a rate of 0.04…

A: When a circular plate of metal is heated in an​ oven, its radius increases at a rate of  0.04…

Q: As a circular metal griddle is being heated, its diameter changes at a rate of 0.01 cm/min. Find the…

A:

Q: A man drives at a rate of 25 kph towards the foot of an 8-m tall monument. At what rate is he…

A: Topic = Algebra

Q: A conical water tank has a radius of 3 m and a height of 6 m. Water is flowing into the tank at the…

A: NOTE: Refresh your page if you can't see any equations. . here we have R=3 H=6 V'=12

Q: A man 2 mts high walks at a uniform speed of 6 km / h away from a lamp post 6 mts high. Find the…

A: According to the question,   To sketch the figure of the given condition,

Q: A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet…

A: Given that: Base radius of water tank = 6 feet Depth of the water tank = 8 feet When the depth is 5…

Q: A train, starting at noon, travels north at 40 ml per hr. Another train, starting from the same…

A:

Q: The radius of a sphere decreases at a rate of 3 meters per second. Find the rate at which the…

A:

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min.…

A: We will solve the following

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 volume of oil in an inverted conical basin is increasing at a rate of 3 cubic inches per second.…

A: The volume of oil in an inverted conical basin is increasing at a rate of 3 cubic inches per second.…

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: water is running out of a conical funnel at the rate of 1 cu inches per second. If the radius of the…

A: This question is related to application of derivatives.

Q: A Ferris wheel with a radius of 13m is rotating at a rate of one revolution every 2 minutes. How…

A: Given thatRadius of the Ferris wheel is 13 mThe time period of the Ferries wheel is 2 min To find…

Q: A 26 foot ladder is sliding down a vertical wall.  The base of the ladder is sliding away from the…

A:

Q: The sides of the square are increasing at a rate of 3 cm per second . When the sides are 5cm long ,…

A:

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A: Given ,  A stone dropped in a pond sends out a circular ripple whose radius increases at a constant…

Q: An LRT train 6 meters above the ground crosses a street at a speed of 9 m/sec, at the instant that a…

A: Given: An LRT train 6 meters above the ground crosses a street at a speed of 9 m/sec, at the instant…

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs to first base with…

A: This question is based on application of  differentiation and Pythagoras theorem, We will solve it…

Q: A paper cup has the shape of a cone with height 10 cm and radius 3 cm (at the top). If water is…

A: From the given problem the representative diagram is shown as below: Let the radius of the cone be…

Q: a 5-ft tall person walks away from a 20-ft tall streetlamp at a constant rate of 3 ft/s . at which…

A: Let us denote: x= distance of the person from the post y=length of the shadow Given that, dx/dt=3 ,…

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 13 cm/min.…

A:

Q: The Grain is falling from a chute onto the ground, forming a conical pile whose diameter is 3 times…

A: To determine the height of the pile.

Q: A right circular cylinder has a 4 inch diameter and is filling with water at a constant rate.  The…

A: Consider the volume of right circular cylinder V. Differentiate it w.r.t time t.…

Q: A conical tank 20 feet in diameter and 30 feet tall (with vertex down) leaks water at a rate of 5…

A: To find the rate of water

Q: . A vertical cylinder is leaking water at a rate of 1 ft /sec. If the cylinder has a height of 10 ft…

A:

Q: A circular conical reservoir, vertex down, has depth 20 ft and radius at the top 10 ft. Water is…

A: The radius of circular cone reservoir, r=10 ft. The height(depth) of circular cone reservoir, h=20…

Q: The sides of a square increases in length at a rate of 3 m/sec. At what rate is the area of the…

A:

Q: A gas line-driven lawnmower has a blade that extends out 1 foot from its center. The tip of the…

A:

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

A: The area of a rectangle is increasing at a rate of 4 cm/sec ? while the width of the rectangle…

Q: A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward…

A: This question is based on application of derivative.

Q: An angler has a fish at the end of a line. The line is reeled in at 2 ft/sec from a bridge 30 feet…

A:

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 10 cm/min.…

A: Derivative the volume of sphere with respect to t and then put subsequent values.

Q: A circular pool of water is expanding at the rate of 16pi in^2/sec. At what rate is the radius…

A: expanding at the rate of 16pi in^2/sec of circular loop rate is the radius expanding if radius…

Q: A baseball diamond has the shape of a square with sides 90 feet long. A player running from first…

A: The rate is:-