dV if a circular cylinder of height 3 changes from r=2 to r=1.9cm.

Q: 900mL of lactated ringers is infusing at a rate of 42gtt/min.  The drop factor is 60gtt/mL.  How…

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Q: b. find Find the rate of the volume of a sphere with respect to its diameter D when the diameter is…

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Q: Find the total surface area of the solid below. Round your answer to the nearest hundredth. x= 20…

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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: The side of a cube increases at the rate of 5 m/sec. The rate at which the volume of the cube…

A: let side of cube is x then rate at which side increase is 5 m/secie.  dxdt=5 m/sec

Q: Give formulas for the volume V and the surface area S of a cone whose height h is nine times its…

A: We have given, Y= (x-2)0.5 Y=0 Y=1 X=2   We know if the radius and height of a cone are r unit and h…

Q: Water is flowing into a conical cistern at the rate if 8 cubic m/min. If the height of the inverted…

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Q: The side of a cube decreases at a rate of 9 m/sec. Find the rate at which the volume changes, when…

A: If the rate is decreasing then it will be the negative.

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: A liquid has an enthalpy of vaporization of 30.8 kJ/mol. At 275 K it has a vapor pressure of 117…

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Q: 10 inches 6 inches 18 inches Using the dimensions from the previous item, find the rate of change in…

A: Given total surface area formula of rectangular solid SA=2lw+2lh+2wh   ......(1) where l,w,h are the…

Q: A balloon which maintains the shape of a sphere is being inflated. The rate of change of its volume…

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Q: On Venus the surface temperature is hot enough to make lead molten. With a melting noint of 600.6 K.…

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Q: A cube with sides 15 inches long is covered with a coat of fiberglass 0.2 inch thick. Use…

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Q: An automobile accelerates from rest at a(t) = 1+3vt mph per second for 9 seconds. What is its…

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Q: Find the area under one arch of the cycloid

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Q: The volume of a sphere is expanding where r= 2t + 1. What is the rate of change in volume with…

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Q: Approximate the change in the volume of a sphere when its radius changes from r = 5f t to r = 5.1ft

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Q: At noon, a city park manager starts filling a swimming pool. IfV(t) is the volume of water (in ft3)…

A: Given that a city park manager is filling his swimming pool. Volume of the swimming pool is V=43πr3.…

Q: The radius of a sphere decreases at a rate of 2 m/s. when the radius is 6 m, then the rate at which…

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Q: A cylindrical pond has a 12 ft diameter, and the water in the pond is 4 ft deep. Water is being…

A: Diameter of cylindrical pond =12 ft  Radius r=12/2=6  Volume = 3.14r^2 depth

Q: The side of a cube is measured to be 5 inches with an error of 0.2 inches. Find the relative error…

A: Given that, the side of a cube is measured to be 5 inches with an error of 0.2 inches.

Q: The volume of a right circular cone of radius x and height y is given by V = 1/3πx^2y. Suppose…

A: Solution:Given         V=13πx2yTo find dydx  at x=4 and y=16Formula:ddx(xn)=nxn-1

Q: A chunk of Platinum is mixed with other metals to make a piece of art. Roughly, 43% of a 60-gram…

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Q: The radius of a sphere decreases at a rate of 3 m/s. when the radius is 9 m, then the rate at which…

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Q: The spherical balloon is being filled at a constant rate of 3cm/sec. How fast is the radius…

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Q: Find the rate at which the volume of a right circular cylinder of constant altitude 10 ft changes…

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Q: Water is being poured into an empty reservoir at a rate of r(t) =24t/ (t^2+1)cubic meters per…

A: To find the volume of water in the reservoir after 3 minutes we need to integrate the given rate…

Q: A cylindrical tank standing upright (with one circular base on the ground) has a radius of 24 cm for…

A: Given query is to find the rate of change of height of water in the tank.

Q: The volume of the solid given by tl

A: Given,             z=8-3x2+y2            z=x2+y22-2

Q: The side of a cube increases at a rate of 10 m/sec. Find the rate at which the volume of the cube…

A: Use the formula for volume of cube and take its derivative than substitute the given values.

Q: hA balloon is being fi ned with helium at the rate Off 4 f+%A Fld the rate in 8quare teet per Minute…

A: The volume of a balloon with radius r will be V=43πr3 and surface area will be S =4πr2 Given: dVdt=…

Q: Water is poured into the bucket below at a volume rate of 10 cm³/s. The surface area of the bucket's…

A: Here we have to use Fundamental  theorem of calculus Part 1 Let f be a continuous real-valued…

Q: How can you relate the rate of change for the surface area of a cube (dSA/dt) as compared with its…

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Q: The altitude (,) of a right circular cylinder is always equal to the diameter (a) of the base. Find…

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Q: The volume of a sphere is expanding where r = 2t. What is the rate of change in volume with respect…

A: First substitute the value of r=2t in volume ,and then differentiate it for finding the rate of…

Q: For the following exercises, find the change in volume dV or in surface : 82. dV if a circular…

A: We have to find the change in volume (dv), if a circular cylinder with r=2 changes height from 3 cm…

Q: The volume of a right circular cone with radius r and height h is V= arh/3. a. Approximate the…

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Q: For the following exercises, split the region between the two curves into two smaller regions, then…

A: Find the intersection between the two curves always keep the upper curve first then the lower curve.…

Q: Suppose I coat a circular washer (shown below) which as inner radius 1 cm and outer radius 3 cm with…

A: Write the equation of circles and solve.

Q: The side of a cube increases at a rate of 10 m/sec. Find the rate at which the volume of the cube…

A: Let the side of the cube be x meter at time t  So, it is given that, dx/dt = 10 And, the volume of…

Q: 2. How can you relate the rate of change for the surface area of a cube (dSA/dt) as compared with…

A: we know that surface areaSA and volumeV of a cube, whose side is l given by SA=6l2…

Q: The volume of a right circular cylinder of radius X and height y is given by V= tX"y, Suppose that…

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Q: A spherical balloon is inflated at a rate of 21 cm's1. Find the rate of change of the surface when…

A: Volume (V) of the sphere = (4/3) pi r3 Surface area (S) of the sphere = 4 pi r2 where r is the…

Q: 10 inches 6 inches 18 inches Using the dimensions from the previous item, find the rate of change in…

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Q: The side of a cube increases at the rate of 10 m/sec. The rate at which the volume of the cube…

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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

Q: pertensive patient has been on antihypert on for several years. Her physician wants t d pressure via…

A: The objective is to compute the minimum sample Size. From the available information, Margin of…

Q: H.W. Ex.3 Silver coin diameter is 40 mm, and surface area 27.70 cm². If the coin divided to coins…

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