Answered: The area of a rectangle with side of…

The area of a rectangle with side of length r and width s is given by A = rs. Find the rate of change of the area with respect to s when s = 4 meters and r = 2 meters.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: You measure the diameter of a drop of water to be 3 mm. Make an order-of-magnitude estimate of how…

Q: The edges of a shoebox are measured to be 11.3 cm, 19.4 cm, and 29 cm.

A: Given: length =11.3 cm Width= 19.4 cm Height = 29 cm

Q: Area The bottom of a planter is to be made in the shape of an isosceles triangle, with the two equal…

A: Equal side of isosceles triangle: a = 3 ft Third side of triangle: b = 2 ft Area of bottom of…

Q: The depth of the ocean is sometimes measured in fathoms (1 fathom = 6 feet). Distance on the surface…

Q: A sphere of radius r has surface area A = 4πr2 and volumeV = (4/3)πr3. If the radius of sphere 2 is…

A: a)The ratio of the areas, A2/A1

Q: (a) A pyramid has a height of 461 ft and its base covers an area of 12.0 acres (see figure below).…

Q: Calculate the area for a surface with a length of 2.56 cm and length 7.74 cm. Express the answer…

A: Given that: The length of a surface is as: a=2.56 cmb=7.74 cm It is required to determine the area…

Q: Calculate the value of the error with one decimal place for the multiplication of x and y: z=xxy…

Q: The edges of a shoebox are measured to be 10.9 cm, 18.4 cm, and 29 cm. Determine the volume of the…

A: Given Data: The length of a shoebox is, l=29 cm The breadth of a shoebox is, b=18.4 cm The height of…

Q: the A partly-full paint can has 0.493 U.S. gallons of paint left in it. (a) What is the volume of…

Q: A builder wants to install wall-to-wall carpeting in a living room of length 8.84 m and width 6.2 m.…

Q: One mole of atoms consists of 6.02 × 1023 individual atoms. If one mole of unicorn atoms were spread…

A: Determine the surface area.

Q: Suppose 1.5 cubic meter of oil is spilled into the ocean. Find the area of the resulting slick,…

A: Finding the total area occupied by the spilled oil.Given information:The volume of the oil spilled…

Q: A model for the surface area of some solid object is given by S = 0.171w0.683 0.439, where w is the…

Q: A certain force F has a moment of 180 N-m clockwise about point O and 94 N-m counterclockwise about…

Q: The diameter of the spherical particle is (1.900x10^O) fm, and the mass is (2.51x10^-27) kg.…

A: Formula of density is as follow; ρ=mV…

Q: The dimension of a room is 12 feet by 20 feet. Compute the area of the room square yards. Given 1…

A: The dimension of a room is 12 ft by 20 ft. So, length L=20 ft and breadth b=12 ft. The conversion…

Q: Problem 2: A rectangular box is h= 14 inches in height, w = 26.5 cm wide, and L = 1.9 yards long.…

Q: Problem 6: The sides of a small rectangular box are measured to be 1.55 + 0.045 cm, 2.1 + 0.025cm,…

Q: Iron has a mass of 7.87 g per cubic centimeter of volume, and the mass of an iron atom is 9.27 ×…

Q: A partly-full paint can has 0.711 U.S. gallons of paint left in it. (a) What is the volume of the…

A: Volume of paint = 0.711 US gallons

Q: Working the answers from the previous question, what would be the relative uncertainty of the area?…

A: Given: Length of the wooden board L=35.7 cm Width of the wooden board W=28.6 cm Uncertainty in…

Q: In the product A ·B· C, A has 5 significant figures, B has 2 significant figures, and C has 3…

A: Given data: A has 5 significant figures B has 2 significant figures C has 3 significant figures…

Q: Two types of barrel units were in use in the 1920s in the United States. The apple barrel had a…

A: Solution: Given: 1 in3 = 0.0163871 liter V1 = 1 apple-barrel = 7056 in3 V2 = 1 cranberry-barrel =…

Q: Consider a rectangle with a measured width of ? = 9.6 ± 0.3 cm and a length of ? = 30.2 ± 0.7 cm.…

Q: The norm of the vector product a × b could represent the area of what?

A: There are two kind of product in vector analysis. Those are following, 1. Dot Product 2. Cross…

Q: A model for the surface area of some solid object is given by S = 0.141w0.797 0.466, where w is the…

Q: Assume that you measure the dimensions of a cylinder with a vernier caliper many times and obtain…

A: Given that, The height of the cylinder is H=3.1cm And the diameter of the cylinder is d=1.13cm…

Q: In a right triangle, the side opposite angle theta has length 9.26 m and the side adjacent to angle…

A: The length of the opposite side of angle theta is given as l = 9.26 m. The length of the adjacent…

Q: builder wants to install wall-to-wall carpeting in a living room of length 8.81 m and width 6.3 m.…

A: Given: Length of the room, L=8.81 m Breadth of the room, b=6.3 m

Q: Estimate the number of tennis ball that would fit into a room that is 4m long, 4m wide, and 3m high.…

Q: Volume = area × thickness. Find the volume V as a function of thickness T if the area is 7.0 cm².

A: Given that; Volume= area×thickness Area=7.0 cm2 = 7×10-4m2 We have to find volume V as a function…

Q: A box is measured to be 15.0 inch x 12.0 inch x 8.00 inch. Calculate its volume in cubic meter.…

Q: The length and width of a rectangular room are measured to be 3.885 ± 0.0065 m and 3.2 ± 0.0045 m.…

A: Given The length of a rectangular room = l = 3.885 ± 0.0065 m The width a rectangular room = b = 3.2…

Q: he speed v of an object is given by the equation v = A * t ^ 3 - Bt where I refers to time. (a) What…

A: Given: The velocity of the object is. v=At3-Bt…

Q: The depth of the ocean is sometimes measured in fathoms (1 fathom = 6 feet). Distance on the surface…

Concept explainers

Estimate of calculation

Question

The area of a rectangle with side of length r and width s is given by A = rs. Find the rate of change of the area with respect to s when s =
meters andr= 2 meters.
а) 02 [m]
b) 01 [m]
c) 04 [m]
d) 08 [m]
e) ONone of the above

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

Similar questions

Take two values, say 1 and 2 and use the relationship, (picture)\ Are the values in both sides of the equation the same? What is the difference? Talk about this.
A rectangular box for a new product is designed in such a way that the three dimensions always have a particular relationship defined by the variable x. The volume of the box can be written as (6x^3)+(31x^2)+(53x)+30, and the height is always x+2. What are the width and length of the box?
Please add the solution to the problem
(a) The volume V of a growing spherical cell is V = ³, where the radius is measured in micrometers (1 μm = 10-6m). Find the average rate of change of V with respect to r when r changes from 6 to each of the following. (Round your answers to one decimal place.) (i) 6 to 9 μm # Tab (ii) 6 to 7 μm aps Lock Esc Submit Answer (iii) 6 to 6.1 um (b) Find the instantaneous rate of change of V with respect to r when r = 6 μm. (Round your answer to one decimal place.) V'(6) = Tum3 / um Need Help? um3/um 1 μm³/um F1 Q um3/um Type here to search Read It F2 2 F3 # 3 O WE F4 $ 4 E R F5 C % 5 T F6 ( A 6 F7 Y 0 & 7 F8 U 4 * 8 F9 8 ( 9 F10 66°F Clear ) F11 0 A O6 6 P A S D F G H J K 2 L 3 Activate Windows Go to Settings to activate Windows. O F12 4) ENG 9:36 PM 10/6/2022 U Backspace Delete Enter
In the calculation of the perimeter of a square measuring:5.0 cm ± .05 cm by 5.0 cm ± .05 cm,What is the ± error on the calculation of the perimeter of the square?
In the calculation of the area of the same square measuring:5.0 cm ± .05 cm by 5.0 cm +.05 cm,What is the + error on the calculation of the area of the square?
Rj
The volume of a small cylinder is given by V=LA ,where L is the side length and A is the base area of the cylinder. L=(23.60 ± 0.05) mm A (12.6± 0.1) mm2 The percentage error in calculated volume of the cylinder %V is:
The radius of an atom of gold (Au) is about 1.35 Å. How many gold atoms would have to be lined up to span 4.0 mm? Express your answer using two significant figures.
Physical units in mechanics are usually some combination of the dimensions time T, mass M, and length L. Consider the physical quantities m, r, u, a, and t with dimensions [m] = M, [r] = L, [u] = LT-, [a] = LT-2, and [1] = T. Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L, T, and exponents. Assume that each of the following equations is dimensionally consistent. Lo = mur [Lo] = W = mar [W] = T
You purchased 5.2kg of apples from a store. You noticed that they used the smallest division of 4.2 g to weight them. What is the relative error of this weight measurement as a percentage. You want to calculate the area of your dorm which is in a rectangular shape. You measure the length and the width of the room as L= 4.8+(-.01) m, W= 4.4+(-.01) m. What is the absolute error in the area in m^2 units?
Vector A has a magnitude of 4 m and lies in the xy plane directed at 45 degrees counterclockwise from the positive x axis, whereas the vector B has a magnitude of 3m and lies in the yz plane directed at 30 degrees from the positive z axic. Find the cross product A x B and the angle between the vectors.