A cube has sides of length x cm and volume V cm 3 The volume is increasing at a rate of 1 5 cm 3 s 1 Find the rate of increase of x when V 8 ...

We can start by using the formula for the volume of a cube whi ...

A cube has sides of length x cm and volume V cm 3 . The volume is

Question:

A cube has sides of length x cm and volume V cm³.
The volume is increasing at a rate of 1.5 cm³s⁻¹.
Find the rate of increase of x when V = 8.

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

At an absolute temperature To, a cube has sides of length Lo and has density Po. The cube is made of a material with coefficient of volume expansion po (a) Show that if the temperature increases to...
A rectangle has sides of length x cm and y cm. a. If the perimeter is 24 cm, find the lengths of the sides when the area is a maximum, confirming that it is a maximum. b. If the area is 36 cm2, find...
A cube has sides of length L = 0.300 m. It is placed with one comer at the origin as shown in Fig. The electric field is not uniform but is given by E = (-5.00 N/C .m) xi + (3.00 N/C .m) zk. (a) Find...
On July 31, 2014, Amsterdam Company engaged Minsk Tooling Company to construct a special-purpose piece of factory machinery. Construction was begun immediately and was completed on November 1, 2014....
What is your view of proposals that would ban all advertising and marketing in elementary schools? Require calorie and nutrition menu boards in fast food restaurants? Tax nutritionally inferior food...
Dundee McClintock Pulp Co. is considering purchasing a new sawing machine that costs $$460,000.$ This machine will produce free cash inflows of $$168,000$ each year at the end of years 1 through...
The following system of differential equations arises in the modeling of a stirred tank reactor with an autocatalyic reaction: \[\begin{aligned}& \frac{d x}{d t}=x-x y \\& \frac{d y}{d t}=-y+x...
How long does it take for the following to happen? a. $856 grows into $1,122 at 7% b. $450 grows into $725.50 at 12% compounded monthly c. $5,000 grows into $6,724.44 at 10% compounded quarterly
Cybersecurity and Infrastructure Security Agency Act Discussion 3 - Cybersecurity and Infrastructure Security Agency Act Cybersecurity and Infrastructure Security Agency Act Read through the article...
Claytonhill Beverages Ltd. is 100 percent owned by Buzz Bottling. While the company has in the past been profitable, it incurred a loss for the year ended December 31, 2012. The parent company, Buzz...
A point, P, travels along the curve in such a way that the x-coordinate of P is increasing at a constant rate of 0.5 units per second. Find the rate at which the y-coordinate of P is changing when P...
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.
In 2015, Elaine paid $2,800 of tuition and $600 for books for her dependent son to attend State University this past fall as a freshman. Elaine files a joint return with her husband. What is the...
Define family law and identify the kinds of issues that are addressed in a family law practice.
Define slip and creep with respect to belt drives.
Define substantive fairness. What factors will a court consider in determining the substantive fairness of a premarital agreement?
Explain the role of clutch in power transmission.
Define unbundled legal services.
Hematite (iron ore) weighing 70.7 g was placed in a flask whose volume was 53.2 mL. The flask with hematite was then carefully filled with water and weighed. The hematite and water weighed 109.3 g....
The swap spread is the difference between the swap rate and the equivalent-maturity Treasury bond yield. Explain why a widening swap spread may be a signal of deteriorating economic conditions. Plot...
If the normal range is 65120 mg/dL, then what percentage of values will fall in the normal range? Blood Chemistry In pharmacologic research a variety of clinical chemistry measurements are routinely...
In some studies only values at least 1.5 times as high as the upper limit of normal are identified as abnormal. What percentage of values would fall in this range? Blood Chemistry In pharmacologic...
Answer Problem 5.32 for values 2.0 times the upper limit of normal? Blood Chemistry In pharmacologic research a variety of clinical chemistry measurements are routinely monitored closely for evidence...
Peter opened a brokerage account to sell short 1,200 shares of Carb Farm stock at the current market price of $160 per share. The brokerage firm charges 12% per annum on the margin loan. a. Suppose...
I have created the variables noisy value and noisy sqft which have random noise added to the actual variables. Take a look at the relationship between these variables by creating a variable equal to...
A firm faces the following inverse demand curve: = P 500 0.25Q Where: Q is the monthly production P is price, measured in dollars per unit. The firm also has a total cost (TC) function of: TC = 200Q....

A cube has sides of length x cm and volume V cm 3 . The volume is

Question:

Step by Step Answer:

We can start by using the formula for the volume of a cube whi...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions