A spherical snowball melts at a rate of 16 in / sec. when the radius is 2 in, then the radius of the snowball change by 1 in. Select one: O a. False O b. True

Q: A cylindrical water tank 6 meters high with a radius of 2 meters is buried so that the top of the…

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Q: A paint manufacturer desires a cylindrical steel drum to hold 50gal. of roof paint. For convenience…

A: A paint manufacturer desires a cylindrical steel drum to hold 50gal. of roof paint. For convenience…

Q: A cylindrical water tank 6 meters high with a radius of 2 meters is buried so that the top of the…

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Q: The volume of a spherical balloon changes with respect to the radius r. At what rate (in ft°/ft)…

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Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A: Given the radius of a sphere changes increases at the rate of 3 m/sec. To find the rate at which…

Q: Find the following for the right circular cylinder shown in the figure below. 39.1 mm 8.21 mm (a)…

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Q: Find the following for the right circular cylinder shown in the figure below. 39.1 mm 8.21 mm (a)…

A:

Q: The surface area of a sphere increases at a rate of 59 m2/ sec. Then the rate at which the radius…

A: Surface area of sphere, S = 4(pi)r^2 Where, r= radius of sphere

Q: A force of 14 lb is required to hold a spring stretched 2 in. beyond its natural length. How much…

A: Consider a force of 14 lb is required to stretch the spring by 2 in.Note that, The Hook Law says…

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

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Q: A sphere is expanding at the rate of 6 cm/sec. The formula for the volume of a sphere is: V = Tr. dr…

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Q: A force of 20 lb is required to hold a spring stretched 8 in. beyond its natural length. How much…

A: The force function is f(x)=kx ,where k is the spring constant and x be the spring stretch.

Q: The hypotenuse is √7 br. a right triangle with one of its right sides rotated. Occurring How many…

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Q: A soup can is in the shape of a cylinder with diameter 5 in and height 8 in. If soup is poured into…

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Q: Find the lateral area of each cylinder to the nearest whole number. Calcula el área lateral de cada…

A: The given question is related with lateral area of a cylinder. Given a cylinder in a figure. In this…

Q: Find the length of the equiangular spiral r = e° for 0 < 0 < . L =

A: Find the derivative r' with respect to θ. r=eθ for 0≤θ≤15π10a=0 , b=15π10r'=ddθeθ=eθ

Q: If the surface area is 150 square inches, then what is the rardius r? In other words, evaluate…

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Q: The total surface" area, S, of a cone of base radius, r, and perpendicular height, h, is given by S…

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Q: Find the following for the right circular cylinder shown in the figure below. 39.1 mm 8.22 mm (a)…

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Q: If the joint pdf of X and Y is 1 fx.y(x, y) 2no? find the mass in the circle, x² + y? <a?.

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Q: Find the lateral area of the solid below. Round answer to the nearest tenth, if necessary. 8 ft 5 ft…

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Q: The surface area of a sphere increases at a rate of 90 m2/sec. Then the rate at which the radius…

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Q: If the radius of a sphere increases at a rate of 0.5 m/sec, then the rate at which the volume of the…

A: Find the rate at which volume of a sphere increase s

Q: The volume of the sphere is increasing at the rate of 6 cm?/hr. At what rate is its surface area…

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Q: Assuming no material is wasted, what is the largest possible volume for a cylindrical can…

A: the surface area of the cylinder is given by here we have

Q: The radius of a sphere increases at a rate of 2m/sec. Find the rate at which the surface area…

A: In sphere Rate of radius= 2m/s Find the rate of change in surface area?

Q: Find the following for the right circular cylinder shown in the figure below. (a)the lateral…

A: Here  Height of cylinder,  h = 39.1 mm Radius, r = 8.22 mm

Q: If the radius of a sphere increases at a rate of 1.5 m/sec, then the rate at which the volume of the…

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Q: A force of 18 Ib is required to hold a spring stretched 4 in. beyond its natural length. How much…

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Q: The radius of a sphere increases at a rate of 4m/ sec. Find the rate at which the surface area…

A: Solve it

Q: For the right circular cylinder shown on page 417, r = 3.2 cm and h = 5.1 cm. Find the approximate…

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Q: If y = 5 in. and z = 31.9 in., then the TOTAL SURFACE AREA of the cylinder is round to nearest…

A: we have to find the total surface area of the cylinder

Q: Find the (i) radius of its base = 7 cm, height = 1.5 dm %3D (ii) area of base = 154 cm?, height =…

A: Given  Depth of well =16m Diameter= 7m

Q: A cylindrical water tank 8 meters high with a radius of 2 meters is buried so that the top of the…

A: Given :       Height of the water tank = 8 meters        Radius of water tank = 2 meters…

Q: IF 6 J of work is needed to stretch a spring from 10 cm to 12 cm and another 10 J is needed to…

A: According to the guideline we should be able to do only first question at a time because both…

Q: The radius of a sphere increases at a rate of 2m/sec. Find the rate at which the surface area…

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Q: A copper wire in 4 mm in diameter is evently wound about a cylinder whose length is 24 cm and…

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Q: The volume V = (4/3)πr3 of a sphericalballoon changes with the radius.At what rate (ft3/ft) does the…

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Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A: Use the concept of derivative and apply this on formula of surface area of sphere.

Q: A cylindrical tank is designed to have a radius of 5 m and a height of 7 , but that the radius and…

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Q: A cylindrical water tank 8 meters high with a radius of 2 meters is buried so that the top of the…

A:

Q: The surface area of a sphere increases at a rate of 77 m2/ sec. Then the rate at which the radius…

A:

Q: The surface area of a sphere increases at a rate of 52 m²/sec. Then the rate at which the radius…

A: The surface area of sphere is given by A=4πr2

Q: A trough 6 metres long is being filled with water at a rate of 3 cubic metres per minute. The ends…

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Q: A cylindrical water tank meters high with a radius of 2 meters is buried so that the top of the tank…

A: Given:       Radius of layer r=2 m  weight water =9800 N per cubic meter  Volume v=πr2∆y…

Q: Find the work required to project a 8 oz object initially at rest to 170 ft/sec.

A: We have to find the work required to project a 8 oz object initially at rest to170 ft/sec Since ,  1…

Q: An aluminum can is to be constructed to contain 2500 cm^3 of liquid. Let r and h be the radius of…

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Q: Find the volume. Round your answer to the nearest hundredt Leave your answer in terms of r. 11 vd

A: Given: We are given with the sphere whose radius is 11 yd. To find the volume of the sphere is 11 yd

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.