Paint is poured onto a flat surface and a circular patch is formed. The area of the
Question:
Paint is poured onto a flat surface and a circular patch is formed.
The area of the patch increases at a rate of 5cm2s−1.
a. Find, in terms of π, the radius of the patch after 8 seconds.
b. Find, in terms of π, the rate of increase of the radius after 8 seconds
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 87% (8 reviews)
a Let the radius of the circular patch at time t be rt The rate of increase of the area is g...View the full answer
Answered By
Dulal Roy
As a tutor, I have gained extensive hands-on experience working with students one-on-one and in small group settings. I have developed the ability to effectively assess my students' strengths and weaknesses, and to customize my teaching approach to meet their individual needs.
I am proficient at breaking down complex concepts into simpler, more digestible pieces, and at using a variety of teaching methods (such as visual aids, examples, and interactive exercises) to engage my students and help them understand and retain the material.
I have also gained a lot of experience in providing feedback and guidance to my students, helping them to develop their problem-solving skills and to become more independent learners. Overall, my hands-on experience as a tutor has given me a deep understanding of how to effectively support and encourage students in their learning journey.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
Oil is poured onto a flat surface and a circular patch is formed. The radius of the patch increases at a rate of 2r cms 1 . Find the rate at which the area is increasing when the circumference is 8cm.
-
The area of a circle increases at a rate of 1 cm 2 /s. a. How fast is the radius changing when the radius is 2 cm? b. How fast is the radius changing when the circumference is 2 cm?
-
A flat circular disk of radius 1. 0 mis rotated at an angular velocity of 0. 65 rad/sec over a fixed flat surface . An oil film separates the disk and the surface. If the viscosity of the oil is 16...
-
In April 1999, one of Capital Blue Cross' health-care insurance plans had been in the field for three years, but hadn't performed as well as expected. The ratio of premiums to claims payments wasn't...
-
In the context of the discussion of price and advertising elasticities, four situations were presented by comparing whether price or advertising elasticity is stronger. Situation 2 was characterized...
-
Does professional sport have a duty to focus more on fulfilling the desires of the (paying) spectator (i.e. ensuring that it is an entertaining and aesthetic performance) over the aims and values of...
-
(4) Is slow and careful change needed or is there a need to move more quickly (Burnes)?
-
Uncle Butchs Hunting Supply Shop reports the following information related to inventory: Calculate Uncle Butchs Hunting Supply Shops ending inventory using the retail inventory method under the FIFO...
-
15. Cornell is a building contractor who builds 25-30 homes a year. Charlotte is an independent real estate broker who sells all of Cornell's homes. Charlotte has recently referred a couple to...
-
Consider the intersection of two shocks of opposite families, as sketched in Fig. 4.23. For M 1 = 3, p 1 = 1 atm, ? 2 = 20?, and ? 3 = 15?, calculate the pressure in regions 4 and 4?, and the flow...
-
A cylindrical container of radius 8cm and height 25cm is completely filled with water. The water is then poured at a constant rate from the cylinder into an empty inverted cone. The cone has radius...
-
The equation of a curve is y = x 3 + px 2 , where p is a positive constant. i. Show that the origin is a stationary point on the curve and find the coordinates of the other stationary point in terms...
-
Desire Limited is in the business of manufacturing high fashion accessories. The company sold certain goods with an invoice price of 25 million to one of its customer offering him a discount of 2% on...
-
16. List I describes four systems, each with two particles A and B in relative motion as shown in figures. List II gives possible magnitude of their relative velocities (in m s) at time t = 3 S....
-
17. List I describes thermodynamic processes in four different systems. List II gives the magnitudes (either exactly or as a close approximation) of possible changes in the internal energy of the...
-
1. 2 mol of Hg(g) is combusted in a fixed volume bomb calorimeter with excess of O2 at 298 K and 1 atm into HgO(s). During the reaction, temperature increases from 298.0 K to 312.8 K. If heat...
-
3. A solution is prepared by mixing 0.01 mol each of H2CO3, NaHCO3, Na2CO3, and NaOH in 100 mL of water. pH of the resulting solution is [Given: pk, and pKa2 of H2CO3 are 6.37 and 10.32,...
-
6. Consider the following reaction. LOH red phosphorous Br2 R (major product) Br On estimation of bromine in 1.00 g of R using Carius method, the amount of AgBr formed (in g) is [Given: Atomic mass...
-
We can represent a path from the root to a given node of a binary tree by means of a binary string, where 0 means go to the left child and 1 means go to the right child. For example, the path from...
-
Suppose that a business sells 6-month subscriptions to its monthly magazine. On January 1, the company receives a total of $600 for 10 subscriptions. To record this transaction, the company debits...
-
A(n) ______ ______ design is one in which each experimental unit is randomly assigned to a treatment. A(n) ______ ______ design is one in which the experimental units are paired up.
-
1. True or False: Observational studies are used to determine causality between explanatory and response variables. 2. True or False: Generally, the goal of an experiment is to determine the effect...
-
An engineer wants to determine the effect of temperature on battery voltage. In particular, he is interested in determining if there is a significant difference in the voltage of the batteries when...
-
Problem 12.6A (Algo) Liquidation of a partnership LO P5 Kendra, Cogley, and Mel share income and loss in a 3.21 ratio (in ratio form: Kendra, 3/6: Cogley, 2/6; and Mel, 1/6), The partners have...
-
Melody Property Limited owns a right to use land together with a building from 2000 to 2046, and the carrying amount of the property was $5 million with a revaluation surplus of $2 million at the end...
-
Famas Llamas has a weighted average cost of capital of 9.1 percent. The companys cost of equity is 12.6 percent, and its cost of debt is 7.2 percent. The tax rate is 25 percent. What is the companys...
Study smarter with the SolutionInn App