Answered: coat of paint of thickness 0.07 cm is…

Math

Calculus

coat of paint of thickness 0.07 cm is to be applied uniformly to the faces of a cube of edge 40 cm.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

See similar textbooks

Related questions

Q: A coat of paint of thickness 0.02 cm is to be applied uniformly to the faces of a cube of edge 21…

A: We know that,

Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

A: The volume of the cylindrical shell is given by V=2πrh∆r, where ∆r is the thickness of the shell.…

Q: The length, width, and height of a rectangular box are measured with an error of at most 5%. Use a…

A: Differentiate diagonal and use error

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

A: One side of the right triangle is measured as 9.5 inches and opposite angle is equal to 26.75° with…

Q: find by use of differentials the approximate total area of a right circular cone whose base radius…

A: Given : Right circular cone whose base radius and height are 5.03 inches and 11.89 inches. We know…

Q: The radius and height of a right circular cone are measured with errors of at most 1% and 4%,…

Q: two legs of a right triangle are reach 70 cm. if one leg grows at the rate of 5cm/min and the other…

A: The solution is given below in the next step:

Q: Suppose a metal rod has length 20 cm and diameter 6 cm. If it is to be insulated, except for the…

A: Let the volume of the rod be V Radius of the rod be R and length be L Given: L=20cm; R=3 cm…

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 17°,…

A: We have to estimate the error in computing the length of the hypotenuse.

Q: A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to…

A: From the given information, the length, width and height is 3 ft, 4ft, 5ft respectively. The given…

Q: Describe the General Power Rule for Integration in your own words

A: The general power rule for integration is: So this means we add 1 with the exponent to get a new…

Q: the circumference of a sphere was measured to be 100 mm with a possible error of 0.4 cm. use the…

A: The circumference of a sphere with radius r is given as C = 2 π r and the surface area is given by…

Q: The side of an equilateral triangle was measured to be 233 cm with at most possible error of 0.5 cm.…

Q: The height and base radius of a circular cylinder are measured as 15 cm and 4 cm, respectively, with…

A: Note the formula and result . Volume of cylinder is . Suppose f and g is a differentiable function…

Q: A boundary stripe 3 in. wide is painted around a rectangle whose dimensions are 100 ft by 260 ft.…

A: Please see the explanation below

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error…

Q: The width and length of a rectangle are measured to be 3 m and 5 m, respectively. These come with an…

Q: 3. The edge of a cube is measured to be 6 inches with a possible error of ±0.1 inch. Estimate the…

A: The error in measuring the edge of the cube is 0.1 inches. to find the error in the surface area and…

Q: A 20 kg wagon moving at a speed of 0.5 m/s towards right collides with a 35 kg wagon which is at…

A: Solution:

Q: The dimensions of a closed rectangular box are measured as 93 cm, 66 cm, and 50 cm, respectively,…

A: Given, The dimensions of a closed rectangular box are measured as 93 cm, 66 cm…

Q: Use differentials to estimate the amount of metal in a closed cylindrical can that is 14 cm high and…

A: *given:- radius of the cylindrical can, R = 6/2 = 3 cm height of the cylindrical can, h = 14 cm

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint .05 cm thick to a…

A: Using differential to estimate the amount of paint needed to apply a coat of paint of 0.05cm thick

Q: Suppose that a mothball loses volume by evaporation at a rate propotional to its instataneous area.…

Q: A person measures the side of a cube as being 10 inches and thus calculates the volume of the cube…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Suppose the side length of a cube is measured to be 5cm with an accuracy of 0.1cm Use differentials…

A: Given that the side length of a cube is 5 cm with an accuracy of 0.1 cm Volume of a cube=side…

Q: Find the sdution of the. differential equation that Satisies the qven intal condition

A: We have to find solution of differential equation with given initial condition.Differential equation…

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.l cm. Use…

A: Let the edge of the cube be x= 30cm And given error in measurement of edge dx= 0.1cm a) Volume of…

Q: A boundary stripe 3 in. wide is painted around a rectangle whose dimensions are 140 ft by 200 ft.…

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use…

A: Given: The edge of a cube, x=30 cm The error in measurement, ∆x=0.1 cm

Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

Q: The circumference of circle was measured to be 24 cm with possible error in measurement of 0.2 cm.…

Q: A capacitor has two parallel metal plates measuring 0.45 m² each. The distance between the plates is…

A: Given:-Area of plates=0.45 m2distance between plate, d=1 cm=10-2mthickness of permittivity ,…

Q: The original 24 m edge length x of a cube decreases at the rate of 2m/min. When x=2 m, the…

A: Given, The original 24 m edge length x of a cube decreases at the rate of 2 m/min.We know…

Q: Consider a rectangular poster that contains 312.5 cm² of printing with a 10 cm margin at the top and…

A: Solution :- let the paper size be x cm in length and y cm in width The length o the printed space…

Q: A coat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of edge 30…

A: Given that a coat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of…

Q: a hemischperical dome has a diameter of 50 m. use differentials to estimate the amount of paint…

A: the problem concerns an application of differentials

Q: Use differentials to approximate the change in the area of a square if the length of its side…

A: Area of a square with a side length of x cm is, Ax=x2 Here, x=5 cm & ∆x=5.32-5=0.32 cm Now…

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °,…

A: a. let the hypotenuse of the triangle is h. so using the trigonometric ratio formula,…

Q: The radius of a circular manhole cover is estimated to be 16 in. with a maximum error in measurement…

A: Due to our guidelines I am solving only first problem The radius of circular manhole r = 16 in

Q: The measurement of the radius of the end of a log is found to be 28 inches, with a possible error of…

A: Solution:- It is given that the radius of the end of a log=28 inches. ⇒r=28 inches possible…

Q: A goldsmith is tasked to coat a closed rectangular box with gold 0.1 cm thick. The height of the box…

Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm of the disk.

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 6 cm and height 20…

A: Since volume is a function of both radius and height, therefore we will use method of partial…

Q: Air is being pumped into a spherical balloon at rate of 5ft3/m. At what rate is the radius changing…

Question

A coat of paint of thickness 0.07 cm is to be applied uniformly to the faces of a cube of edge 40 cm. Use differentials to find the approximate amount of paint (in cm ^3) required for the job, correct to the nearest cubic center

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Finding appropriate differentials

VIEW

Step 2: Finding volume of paint required

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Numerical Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

A combination of gage Nocks is selected to provide a total thickness of 0.4573 inch. One block 0.250 inch thick and one block 0.118 inch thick arc selected. What is the required thickness of the remaining blocks?
Find the volume of a steel shaft that is 18.64 cm long and has a radius of 1.75 cm. Round your answer to 2 decimal places.
The distance d (in ft) required to stop a car that was traveling at speed v (in mph) before the brakes were applied depends on the amount of friction between the tires and the road and the driver’s reaction time. After an accident, a legal team hired an engineering firm to collect data for the stretch of road where the accident occurred. Based on the data, the stopping distance is given by d = 0.05v^2 + 2.2 a. Determine the distance required to stop a car going 50 mph. b.Up to what speed (to the nearest mph) could a motorist be traveling and still have adequate stopping distance to avoid hitting a deer 330 ft away?
Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.050000 cm thick to a hemispherical dome with a diameter of 80.000 meters.
A rectangular photograph measuring 77 cm by 66 cm is to be displayed in a card mount in a rectangular frame as shown below, with a border of constant width x cm. The owner wants the area of the mount (including the photo) to be 73cm^2. Find the width x of the border.The border should be ... cm wide (round your answer to three decimal places).
a hemischperical dome has a diameter of 50 m. use differentials to estimate the amount of paint needed to apply a coat of paint 5 mm thick.
A cylindrical water tank is 12 ft in diameter with sides that are 5ft high. The depth of the water is 4ft. How much work is required to pump all the water out over the side? (Use the fact that water weights 62.5 lb/ft^3). SHOW ALL WORK. Draw a diagram with an approximating rectangle of the situation.
The volume V of a gad varies inversely as its pressure P. If V = 40 cm^3 when P = 60 g/cm^2, find V when P = 80g/cm^2.
If a snowball melts so that its surface area decreases ata rate of 1cm^2/min, find the rate at which the diameter decreases when the diameter is 10cm
A variable force of 5x^(-2) pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done in moving the object from x=1 ft to x=10 ft.
SOLVE STEP BY STEP IN DIGITAL FORMAT 2. Gas escapes from a spherical balloon at a rate of 2 ft^3/min. How quickly does the area of the balloon decrease when the radius is 12 feet?
An Astronaut on Mars drives a golf ball that moves according to the equations x=30t and y=74t−4.4t^2. (x and y in feet, t in seconds.) Find the resultant velocity of the golf ball for t=2s. Magnitude of the velocity of the ball = Direction of the velocity of the ball =