A square has side length x cm and area Acm 2 . The area is increasing at

Question:

A square has side length x cm and area Acm².
The area is increasing at a constant rate of 0.03cm²s⁻¹.
Find the rate of increase of x when A = 25.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 10, 2023 11:25 PM

See More Questions

A square has sides of length x cm and area A cm 2 . The area is increasing at a constant rate of 0.2 cm 2 s -1 . Find the rate of increase of x when A = 16.
The volume of a spherical balloon is increasing at a constant rate of 40cm 3 per second. Find the rate of increase of the radius of the balloon when the radius is 15cm.
A tire 0.500 m in radius rotates at a constant rate of 200 rev/min, find the speed and acceleration of a small stone lodged in the tread of the tire (on its outer edge).
Dream House Builders, Inc. applies overhead by linking it to direct labor. At the start of the current period, management predicts total direct labor costs of $100,000 and total overhead costs of...
What is your opinion of the defense Kraft used in claiming that calcium is an immaterial product attribute?
Summarise some key characteristics of groups and teams.
You have taken a summer job in the windows and doors department of a large home improvement store. During sales training, you learn about the products, how to best address customers needs, and how to...
Three different plans for financing a $10,000,000 corporation are under consideration by its organizers. Under each of the following plans, the securities will be issued at their par or face amount,...
The Keeva Company operates a simple chemical process to convert a single material into three separate items, referred to here as X, Y, and Z. All three end products are separated simultaneously at a...
Pedro and Lucy started to create a budget (based on last years income and expense statement) but got stuck. They know that you have learned how to create budgets and are asking for your help. They...
The curve y = x 3 + ax 2 9x + 2 has a maximum point at x = 3. a. Find the value of a. b. Find the range of values of x for which the curve is a decreasing function.
A function f is defined as for x 0. Find an expression for f(x) and determine whether f is an increasing function, a decreasing function or neither. f(x) = 5 (x + 22 2 x + 2
From Fig. 4-35, we see that a Bluetooth device can be in two Pico nets at the same time. Is there any reason why one device cannot be the master in both of them at the same time?
31. What is meant by path? 32. Give the formula for calculating D4 and D8 distance. 33. What is geometric transformation? 34. What is image translation and scaling? 35. Define the term Luminance
1. Explain Brightness adaptation and Discrimination 2.Explain sampling and quantization:
3. Explain about Mach band effect? 4. Explain color image fundamentals. 5. Explain CMY model.
1. Describe the fundamental steps in image processing? 2. Explain the basic Elements of digital image processing:
3. Explain the Structure of the Human eye 4. Explain the RGB model
Given the set of element {a,b,c,d,e, f } stored in a list, show the final state of the list, assuming we use the move-to-front heuristic and access the elements according to the following sequence:...
A firm offers two products for sale. The marginal cost of one product is new zero once the first unit has been produced. The marginal cost of the other product rises as output rises. What would be...
Is the measure in Problem 5.36 a measure of sensitivity, specificity, or predictive value? Cancer A treatment trial is proposed to test the efficacy of vitamin E as a preventive agent for cancer. One...
What percentage of the placebo group would be expected to show a change of not more than 0.30 mg/dL? Cancer A treatment trial is proposed to test the efficacy of vitamin E as a preventive agent for...
Is the measure in Problem 5.38 a measure of sensitivity, specificity, or predictive value? Cancer A treatment trial is proposed to test the efficacy of vitamin E as a preventive agent for cancer. One...
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...

A square has side length x cm and area Acm 2 . The area is increasing at

Question:

Step by Step Answer:

start by using the formula for the area of a square which is A x2 whe...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions