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

Q: A spherical balloon is inflated and its volume increases at a rate of 30 in3 /min. (a). What is the…

A: Given that, The spherical balloon is inflated and its rate of change of volume is; dVdt=30 (in3min)…

Q: The radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

A: NOTE: Refresh your page if you can't see any equations. . the area of the circle is given by  take…

Q: If a snowball melts so that its surface area decreases at a rate of 1cm /min, find the rate at which…

A: Diameter= DRadius = r =D/2Surface area = A= 4pi*r^2Given dA/dt= -1 cm^2/min (negative because…

Q: A helicopter takes o from a point 80 m away from an observerlocated on the ground, and rises…

A: Thus when the helicopter is 60 m above the ground the elevation angle of theobserver’s line of sight…

Q: Find the rate at which the surface area of the water changes when the water is 10 ft high if the…

A:

Q: The area of a circle increases at a rate of 4 cm? /s. a. How fast is the radius changing when the…

A:

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

A:

Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

A:

Q: The side of a cube decreases at a rate of 8 m/sec. Find the rate at which the volume changes, when…

A: given that a side of cubedecreases at a rate of 8m/sfind the rate at which the volume changes when…

Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at…

A: Solve using increasing & decreasing function.

Q: If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at…

A:

Q: The radius r of a circle is changing at the rate of -2/π m/sec. At what rate is the circle’s area…

A:

Q: The radius of a circle is increasing at the rate of 4 cm/s. How fast is the area of the circle…

A: Given,           The radius of a circle is increasing at the rate of 4 cm/s. And the radius is 5 cm…

Q: The radius of a circle is changing at the rate of -2/pai  m/sec. At what rate is the circle’s area…

A:

Q: If the rate of change of the surface area of a sphere with respect to its radius is 16pi sq cm, find…

A:

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

A:

Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate at…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at…

A:

Q: The radius of a circle is increasing at the rate of 0.7 cm/c.what isthe rate of oncreasing of its…

A: Differentiate circumference wrt t

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 inches tall person is walking away from the…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm/min, find the rate (in…

A: Given  Decreasing rate of surface area = 3cm2/min To find: the rate of decreasing of diameter when…

Q: find the rate of change of the circumference of a circle when the area is increasing at the rate of…

A: Given: Rate of change of area is increasing at the rate of 4 cm2/sec, that is, dAdt=4 cm2/sec. To…

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

A:

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: 16. If the radius of a circle is increasing at the rate of 4 cm/s, find the rate of the increase in…

A: Given radius of a circle is increasing at the rate of 4 cm/sec.

Q: A cylindrical box has a fixed height of 12 inches. Find the rate of change of volume with respect to…

A:

Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side…

A: Application of derivative

Q: a water tank has the shape of an inverted circular cone with a base radius of 2m and a height of 4m.…

A:

Q: The radius of a circle is changing atthe rate of -2/paiA m/sec. At what rate is the circle’s area…

A: Let the radius of the circle be r. Then the area (A) of the circle is: A=πr2 Differentiating with…

Q: The radius of a circle is increasing at a rate of 5 centimeters per minute. Find the rate of change…

A: We can find the answer as below using the given data.

Q: The radius of a sphere decreases at a rate of 8 m/sec. Find the rate at which the surface area…

A: It is given that the radius of sphere decreases at a rate of 8 m/sec. So, drdt=-8. The radius is r=3…

Q: The height h of a right circular cylinder is twice its radius r. Find the rate of the volume V of…

A: The volume of the right circular cylinder is given as: V=πr2h where 'r' is the radius of the cone…

Q: Find the rate of change of area of the circle with respect to its radius, in ft2/ft, when the radius…

A: We have to find the rate of change of area of the circle with respect to its radius in ft2/ft. Also…

Q: 1. Find the rate of change of the area of a circle with respect to its radius when the radius is 3…

A: Authoring guidelines:…

Q: Water is running out of a conical funnel at the rate of 1 in3/sec. If the radius of the base of the…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 1 cm²/min, find the rate at…

A: 1) Let A be the surface area  r = radius of the sphere D = diameter of sphere = 10 cm…

Q: ce of a circle is increasing at a rate of 2 cm/s. rea increasing when r= 6 cm?

A: We have to choose the correct answer from the given options according to the given information

Q: If a snowball melts so that its surface area decreases at a rate of 4 cm4/min, find the rate at…

A: Note that snowball has a shape of sphere.

Q: A conical cistern of height 5 ft and 7 ft across the top is being filled at a rate of 5 ft3/s while…

A: A conical cistern is given whose height is 5 ft and diameter at the top is 7 ft. A conical cistern…

Q: Find the rate of change of the surface area of a hemisphere with respect to its radius. a. When the…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

A: Given information:

Q: If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at…

A:

Q: If a snowball melts so that its surface area decreases at a rate of lcm²/min, find the rate at which…

A: Snowball represents a sphere So , Surface Area of sphere is 4πr2.  And , d=2r.  Using this we solve…

Q: The area of a circle increases at a rate of 3 cm^2 per second. Find a) how fast is the radius…

A: Given information:The area of a circle increases at a rate of 3 cm square per second

Q: The radius of a circle is increasing at a rate of 2cm/s. How fast is the area of the circle…

A:

Q: . A kite 100 ft above the ground moves horizontally at aspeed of 8 fts. At what rate is the angle…

A: At what rate is the angle between the stringand the horizontal decreasing when 200 ft of string has…

Q: The radius of a circle is increasing at a rate of 3 ft/min. At what rate is its area changing when…

A:

Q: 5 If a snowball melts so that its surface area decreases at a rate of 10 cm2/min, find the rate at…

A: