The radius of a circular ink blob is increasing at a rate of 5 cm s Find the exact rate of increase of the circumference of the circle ...

Lets start by recalling the formula for the circumfere ...

The radius of a circular ink blob is increasing at a rate of 5 cm s

Question:

The radius of a circular ink blob is increasing at a rate of 5 cm s⁻¹.
Find the exact rate of increase of the circumference of the circle.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

See More Books

Question Posted: Apr 14, 2023 11:19 AM

See More Questions

Implement a dual simplex solver. You should write a subroutine of the form dualsimplex(S), where your solver takes as input one matrix S representing an entire tableau. Your solver should return a...
You are considering opening a new plant. The plant will cost $102.2 million upfront and will take one year to build. After that, it is expected to produce profits of $30.2 million at the end of every...
The radius of a circle is increasing at a rate of 2 ft min. At what rate is its area changing when the radius is 3 ft? (Recall that for a circle, A = r2.)
What favors the formation of continuous (dense) cleavage?
Moonrise Bakery applies factory overhead based on direct labor costs. The company incurred the following costs during 2015: direct materials costs, $650,000; direct labor costs, $3,000,000; and...
Mr. Masigasig created a trust in favor of Pedro. A large sum entrusted to BDO (Trustee), the income of which is accumulated Pedro. The following data were provided: Gross income of the trust...
Justify sources that you feel are most appropriate for recruiting salespersons in the following areas: (a) IT systems sales; (b) senior store retailing positions; (c) business-to-business sales...
Helen Keller Company began operations on January 1, 2013, adopting the conventional retail inventory system. None of the companys merchandise was marked down in 2013 and, because there was no...
As a manager in charge of a multicultural team, what could you do to minimize potential negative cultural effects on the team's decision-making process? When responding to the forum you must, Explain...
Melodic Musical Sales, Inc. is located at 5500 Fourth Avenue, City, ST 98765. The corporation uses the calendar year and accrual basis for both book and tax purposes. It is engaged in the sale of...
The diagram shows a sporting track made up of a rectangle with semicircles at each end. The rectangle has dimensions p meters by 2r meters where r is the radius of each semicircle. The perimeter of...
For each of the following functions, find the coordinates of the stationary points and determine their nature. a) y = x 2x + 5 b) y = 3 + x x c) y = 2x + 4x 3 d) y = x 5x + 3x + 1 e) y = x 2x 2...
A is an m x n matrix with a singular value decomposition A = UV T , where U is an m x m orthogonal matrix, is an m x n "diagonal" matrix with r positive entries and no negative entries, and V is an...
In Problems 58-60, further assume that young rabbits become adults after two months and produce another pair of offspring at that time. A rabbit breeder begins with one adult pair. Let $a_{n}$...
The population of New Haven, Connecticut, is growing at the rate of $450+600 \sqrt{t}$, where $t$ is measured in years, and the present population is 123,700 . Predict the population (rounded to...
A freely falling body experiencing no air resistance falls $s(t)=16 t^{2}$ feet in $t$ seconds. Express the body's velocity at time $t=2$ as a limit. Evaluate this limit.
Find the limit (if it exists) as $n ightarrow \infty$ for each of the sequences in Problems 43-56. $\lim _{n ightarrow \infty} \frac{10 n^{3}+13}{7 n^{2}-n+2}$
Approximate the sum of the areas of the rectangles shown in Figure (18.8 b). That is, using \[A_{1}+A_{2}+\cdots+A_{15}+A_{16}\] Figure (18.8 b) 1.2 1.0 0.8 0.6 0.4 0.2 y y=x (1,1) 0.2 0.4 0.6 0.8...
Balance these redox reactions by inspection. a. PbCl2 + FeCl3 ( PbCl4 + FeCl2 b. SO2 + F2 ( SF4 + OF2
The financial statements of Eastern Platinum Limited (Eastplats) are presented in Appendix A at the end of this textbook. Instructions (a) Does East plats report any investments on its statement of...
Use the U.S. CPI Annual to adjust the per capita debt figures to 19821984 dollars. Graph these figures. Does removing the effect of inflation allay your concerns for the future? Explain. Exercises...
The debt owed by the Canadian federal government was recorded for the years 1870 to 2015. Use a graph to present these figures. Should future tax-paying Canadians be concerned? Briefly explain.
Use the population of Canada from 1870 to compute the per capita debt. Graph the results. What have you learned? 3.110 Use the Canada CPI Annual to calculate the inflation adjusted (using 2002 as the...
Who created an academy to train sea captains in exploration and the latest sailing technologies?
Propose how these mechanisms can be used to build a strategic business partnership, close the gap between management / leadership and employees while building a cohesive culture that adds value,...
Discuss the role of the client/therapist relationship from the behavior therapist's point of view. What are some of the criticisms of this relationship/ How do behavior therapists like Lazarus and...

The radius of a circular ink blob is increasing at a rate of 5 cm s

Question:

Step by Step Answer:

Lets start by recalling the formula for the circumfere...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions