The side of a cube is increasing at a rate of 6cm/sec, find the related change in surface area when the side is 4cm. Oa. 280cm? / sec Ob. 170cm² / sec 190cm? / sec

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Q: Find the rate of change in the area (A) of a circle with respect to its radius (r) when r = 9. 9TT…

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Q: Given OZ with tangents XW and XY , what is MWVY ? (10a) (4a + 10)°, 70° X. W O A. 70 В. 140 C. 250 O…

A: Given <WY = (4a+10)°         <WXY = 70°     m<WVY = (10a)° We know that <WY+m<WVY =…

Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing 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: Given the radius of a sphere changes increases at the rate of 3 m/sec. To find the rate at which…

Q: An engineering student is experimenting on a cylindrical can with a fixed rate of 8 inches. Find the…

A: Please check step 2 for the solution.!

Q: The side of a cube is increasing at a rate of 5cm/sec, find the related change in surface area when…

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Q: A Conical Cup is 4cm across and 6cm deel. Water leaks cut of the bottom of the cup cit a rate of…

A: Consider the given information. The diameter of the cup is 4 cm. r=d2=42=2 cm The height is 6 cm.…

Q: 6. A wheel 5 ft in diameter rolls up an incline of 18°20'. What is the height of the center of the…

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Q: Karen is long jumping at the national championships. If she leaves the takeoff board with an initial…

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

A: Side of a cube decrease at rate of 7m/s Rate of change in volume?

Q: Assume gravity is 32 ft/s? and no external forces (ex: wind resistance). If you Jump off a 34 ft…

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Q: A spherical snowball is melting. Find the approximate change in volume if the radius decreases from…

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Q: The volume V = (4/3)pai r3 of a spherical balloon changes with the radius. a. At what rate (ft3/ft)…

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Q: The radius of a circle is decreasing at a rate of 3 cm/sec. At what rate is the area of the circle…

A: The radius of a circle is decreasing at a rate of 3 cm/sec. At what rate is the area of the circle…

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

A: We will solve the following.

Q: The radius, r, of a circle is decreasing at a rate of 4 cm/sec. Find the rate of change of the area,…

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Q: The figure shows a set of concrete stairs to be built. 7ft ft 2/3 cubic feet 2 ft 17/7/1Ht ft 9 //f…

A: We have to find amount of concrete in cubic feet.

Q: A hiker travels 4 mph at a bearing of S35°E from their campsite. After 3 hours, how far south is the…

A: A hiker travels 4 mph at a bearing of S35°E. The hiker moves in a direction away from due south…

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

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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: We are authorized to solve only 1 question, please repost remaining questions Rate of change

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

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Q: The side of a cube increases at a rate of 10m/sec,then the rate at which the area of the cube…

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Q: The radius of a sphere increases at a rate of 5m/sec. Find the rate at which the surface area…

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Q: A fence 12 feet tall runs parallel to a tall building at from the building as shown in the a…

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Q: At what rate is the area of rectangle changes if sides are x and 4x, if the shorter side x changes…

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Q: For a certain animal, the surface area S of the body is related to the body's weight W according to

A: Given equation for the surface area of the body - S = kW45where,S = Surface area of bodyW = Weight…

Q: The tires of a bicycle have radius 13.0 in. and are turning at the rate of 215 revolutions per min.…

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Q: A toy rocket is launched at an initial velocity of 50 ft/s at an angl of 75° with the horizontal.…

A: Here, given that the initial velocity 50 ft/s and the angle is 75°

Q: The radius of a circle increases at a rate of 2m/sec. Then the rate at which the area of the circle…

A: The solution is given below

Q: The radius of a circle is increasing at a rate of 4 ft/min. At what rate is its area changing when…

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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

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A: solution is given below

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Q: The velocity, in feet per second, of a running rodent is modeled by v(t) = 5√t − 2t. What is the…

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Q: The radius of a circle is increasing at a rate of 5 ft/min. At what rate is its area changing when…

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Q: 7 cm Answer the following questions based on the cylinder to the right. a) Explain how the volume…

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Q: hen the distance of the plane from at the rate of 8,000 km/hr. At w

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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: Consider a cone with a radius of 5 cm and a height of 12 cm. Find the change in the volume of the…

A: Volume of the cone is V=13πr2h. Given, r=5 cm, h=12 cm, dr=0.04 and dh=0.02.

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: For many species of fish, the allometric relationship between the weight W and the length L is…

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Q: which sketch is a cross-section in the x-direction (L to the y-axis)? Why?

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Q: the volume of the sqhere is increasing at a rate of 10cm^3/sec. Find the rate of change of its…

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Q: The sides of an equilateral triangle are increasing at the rate of 4 cm/s. At what rate is the area…

A: Let x cm be the length of the side of an equilateral triangle at any time t. Given that, dxdt=4…

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

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Q: Diameter YZ is parallel to chord WX and mWX=50°. What is mXZ?

A: Circle

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

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Q: A spherical snowball is melting. Find the approximate change in volume if the radius decreases from…

A: A spherical snowball is melting. To find the approximate change in volume if the radius decreases…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.