The volume of a cube is increasing at a rate of 64 in3/sec. At what rate is

Question:

The volume of a cube is increasing at a rate of 64 in3/sec. At what rate is the length of each edge of the cube changing when the edges are 6 in. long? (Recall that for a cube, V = x3.)

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

Step by Step Answer:

Related Book For book-img-for-question

Mathematical Applications for the Management Life and Social Sciences

ISBN: 978-1305108042

11th edition

Authors: Ronald J. Harshbarger, James J. Reynolds

See More Books

Question Posted: Feb 09, 2018 07:06 AM

See More Questions

(a) Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and sodium chlorate to evaporate slowly. If V is the volume of such a cube with side length x,...
Each edge of a variable cube is increasing at a rate of 3 inches per second. How fast is the volume of the cube increasing when an edge is 12 inches long?
The volume of a cube decreases at a rate of 0.5 ft 3 /min. What is the rate of change of the side length when the side lengths are 12 ft?
Assume that a grower of flower bulbs sells its annual output of bulbs to an Internet retailer for $70,000. The retailer, in turn, brings in $160,000 from selling the bulbs directly to final...
A sprinter accelerates from rest to 10.0 m/s 1.35s. What is her acceleration? (a) In m/s2, and (b) In km/h2?
Watch the Ted Talk video- https://www.youtube.com/watch?v=jOyAndLa5HU What does his story tell us about the creation of psychopathic personality disorders? What does it tell us about the interaction...
Explain the significance of the following cross-correlation terms: \[\begin{aligned}& \overline{v_{x}^{\prime} v_{y}^{\prime}} \\& \overline{v_{x}^{\prime} T^{\prime}} \\& \overline{v_{x}^{\prime}...
Match each of the following terms with the phrase that best describes it. Quality of earnings........Pro forma income Current ratio ...........Discontinued operations Horizontal analysis...
Members BC and ABC need a material that can withstand at least 1643 psi. (based on chart provided a. ???Will we be able to use 1018 steel for either members ABC, BD, or both? b. ???If not would cold...
Myrtle, a single, 19-year-old, full-time student, is claimed as a dependent by her parents in 2022. She has earned income of $13,000 and unearned income of $130. What is Myrtles 2022 standard...
The area of a circle is changing at a rate of 1 in2 / sec. At what rate is its radius changing when the radius is 2 in.?
The lengths of the edges of a cube are increasing at a rate of 8 ft min. At what rate is the surface area changing when the edges are 24 ft long? (Recall that for a cube, S = 6x2.)
In 2020-21, George is provided with a petrol-engined motor car by his employer who pays for all fuel and other running costs. The car was registered in March 2020 and had a list price when new of...
the economic development of foreign countries, including the many obstacles those nations face. For today's discussion, free write on the idea of economic development in foreign nations. Why have...
what synergistic interplay emerges between laissez-faire leadership proclivities and participative leadership tenets, fostering an ecosystem of innovation and adaptive resilience ? Explain
Would a 5% or 10% increase in the price of a product lead you to switch to another product? For what fraction of purchases? Would an increase in the price of a broader collection of products (such as...
An explanation for why women remain underrepresented in some areas of employment and are paid less than male counterparts doing the same work is known as what?
how do nuanced leadership styles manifest, and what catalytic elements differentiate transformational leadership from transactional leadership in fostering organizational resonance ?
Determine the two equations necessary to graph each ellipse using a graphing calculator, and graph it in the viewing window indicated. y2 1; 25 4 [-6.6, 6.6] by [-5.2, 5.2]
Suppose the S&P 500 futures price is 1000, = 30%, r = 5%, = 5%, T = 1, and n = 3. a. What are the prices of European calls and puts for K = $1000? Why do you find the prices to be equal? b. What...
Use the graph of f to estimate the values of that satisfy the conclusion of the Mean Value Theorem for the interval [0, 8]. yf(x)
Use the graph of f given in Exercise 7 to estimate the values of c that satisfy the conclusion of the Mean Value Theorem for the interval [1, 7].
(a) Graph the function f(x) = x + 4/x in the viewing rectangle [0, 10] by [0, 10]. (b) Graph the secant line that passes through the points (1, 5) and (8, 8.5) on the same screen with f. (c) Find the...
A 7 5 kg cliff - diver is falls from a height through the air head, diving towards the water. The drag coefficient for the diver is 0 . 8 3 and the area of the descending diver is 0 . 2 1 m ^ 2 ....
In the automobile industry, the dimensionless drag coefficient and the area of the vehicle are often combined into one variable - the drag area whereby the drag area is the product of the...
When you drop 10 pebbles into the well, you record the times for hearing the splash as 2.94 s, 3.11 s, 3.12 s, 2.97 s, 3.12 s, 2.97 s, 3.06 s, 3.21 s, 3.37 s, and 3.53 s. (a) Find the average time...

The volume of a cube is increasing at a rate of 64 in3/sec. At what rate is

Question:

Step by Step Answer:

V x Vt 3x d...View the full answer

Mathematical Applications for the Management Life and Social Sciences

Students also viewed these Calculus questions