a-) The sides of a square increasing at a rate of 10 cm /sec. How fast the area enclosed by the square increasing when the area' ' is d socm??

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A: Surface area of cube = 6x2Where x is the edge of the cube

Q: The volume V of a cube with sides of length x in. is changing with respect to time. At a certain…

A: Given The volume V of a cube with sides of length x inch Side of the cube is 6inch that is x=6 inch…

Q: 4. A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate…

A:

Q: At a certain instant the dimensions of a rectangle are 8 and 12 feet, and they are increasing at the…

A: At a certain instant the dimensions of a rectangle are: Length L=8 feetWidth W=12 feet

Q: a. Air is being pumped into a spherical ball in such a way that the volume increases at a rate of 10…

A: Given: Volume of sphere is increasing at a rate of 10 cm^3/sec.

Q: a) A cylindrical tank with radius 6 cm is being filled with water at a rate of 4 cm³/sec. How fast…

A:

Q: Sugar is poured into a conical tank at the rate of 15cm3/sec whose bottom radius is always quarter…

A: The volume of a cone is given by the formula V=13πr2h. Where, V-volume, r-radius and h is the height…

Q: 7) A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A: Given: A spherical balloon is to deflated so that its radius decreases at a constant rate of 15…

Q: A pebble is dropped into a calm pond, causing ripples in the form of concentric circles. The radius…

A: Rate of Radius of outer ripple increasing = 1 ft/sec                    Radius = 4 feet

Q: 8. The volume of a right circular cylinder is 60 cm³ and is increasing at 2 cm³/min at a time when…

A: Given:                                 Volume of a right circular cylinder V…

Q: 3 The volume of a cube is increasing at the rate of 8 cm³/sec.How fast is the surface are increasing…

A:

Q: A cube’s surface area increases at the rate of 72 in2/sec. At what rate is the cube’s volume…

A: Given:

Q: The volume of a cube is increasing at the rate o 8 cm³/sec.How fast is the surface area increasing…

A:

Q: 9. When a particular plate of metal is heated in an oven, its radius increases at the rate of…

A:

Q: 1. Water is poured into a conical tank 6 m across the top and 8m deep at the rate of 10 How fast is…

A: To find: The rate of water level rising when water in the tank is 5 m deep. Formula used: The volume…

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m³/min. How fast is the…

A: Find your answer below

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: All edges of a perfect cube are lengthening at a rate of 0.5 cm per second. Two questions: (a) How…

A:

Q: 10. A right circular cone with radius 3 cm and height 6 cm is submerged point first into a tall…

A: We have to find the water level rising at rate of

Q: The volume V of a cube with sides of length x in. is changing with respect to time. At a certain…

A: Given that sides are increasing at the rate of 0.4 in./secSo, dx/dt= 0.4

Q: The volume V of a cube with sides of length x in. is changing with respect to time. At a certain…

A: Solved below

Q: A cylinder of radius 5 cm and height 10 cm is lowered (circular face first) at a rate of 1 cm/sec…

A: To find: The rate at which the water lavel rising at the instant the cone is completely submerged.

Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

A: Area of square = a2 Where a is length of side of square.

Q: A board 15 feet long slides down a wall. At the instant the bottom end is 12 feet from the wall, the…

A: A board 15 feet long slides down a wall. At the instant the bottom end is 12 feet from the wall, the…

Q: All edges of a cube are expanding at a rate of 3 centimeters per second. (a) How fast is the volume…

A:

Q: Water is flowing into a vertical cylindrical tank at the rate of 5cu.ft/min. if the radius of the…

A: The volume of a cylinder:,V = πr2hWhere, V = Volume of the cylinder  r = Radius of the base  h =…

Q: 9. A paper cup has shape of a cone with height 10 cm and radius 3 cm (at the top). If water is…

A:

Q: When a circular plate is heated on an oven its radius increases at a rate of 0.03 cm/ min at what…

A:

Q: 3. Water is flowing out of a cylindrical storage tank at a rate of 2m/min. If the tank has a radius…

A:

Q: How do you solve question 1?

A: The relation between volume of a sphere and the its radius is given as, Where  V: Volume r: Radius

Q: 2. A cylindrical plastic container with a radius of 15 cm is being filled with orange juice at a…

A:

Q: A spherical balloon is inflated so that its radius increases at a rate of cm/sec. How fast is the…

A: Volume of the sphere is given by:  V = 43πr3

Q: The two equal sides of an isosceles triangle with fixed base b are b are decreasing at the rate of 3…

A: Solution :-

Q: (2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all…

A:

Q: How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate…

A:

Q: A rectangle has a length of 7 inches and a width of 8 inches, whose sides are changing. The length…

A: Given: A rectangle has a length of 7 inches and a width of 8 inches, whose sides are changing.The…

Q: 1. Air is being pumped into a spherical balloon at a rate of 4 cm3/min. How fast is the radius of…

A: 1. Given:   The rate at which air is pumped into the spherical balloon = 4 cm3/min   Diameter of the…

Q: 3. The area of a circular inkblot starts from zero and grows at a constant rate of 4n cm/minute.…

A: Use the derivative and formula for area of circle.

Q: All edges of a cube are expanding at a raete of 6 centimeters per second. How fast is the surface…

A:

Q: A bacterial cell is spherical in shape. If the radius of the cell is increasing at the rate of 0.01…

A: Volume of sphere: V = 43πr3, where r is radius of sphere. Surface area of sphere: S = 4πr2, where r…

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 3 cu. m / min How fast is…

A: Given, Radius of the cylindrical tank = 5 m Water rate = 3 m3/min

Q: 2. A cylindrical tank standing upright (with one circular base on the ground) has radius 1 meter.…

A:

Q: A spherical balloon has a radius r that is increasing at a rate of 3 emfs. At what rate is the…

A: Given: drdt=3πcm/s   To find: dvdt when r=10

Q: 2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all…

A: Solution

Q: The Volume of a cube is increasing at the rate of 8 cm3/sec.How fast is the surface area increasing…

A: Given that volume of a cube is increasing at the rate of 8cm3/sec find out the fastness in the…

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. (a) How fast is the surface…

A:

Q: 2. The diagonal of a square increases at the rate of 3 m/sec. How fast is the area changing when the…

A: Let the length of diagonal be y. so that, Now, Length of the side of a square be x. Using the…

Exponential Growth Model

The relation that represents an exponential function is: