The length of a rectangle is given by 6t + 5 and its height is t, where

Question:

The length of a rectangle is given by 6t + 5 and its height is √t, where t is time in seconds and the dimensions are
in centimeters. Find the rate of change of the area with respect
to time.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

See More Books

Question Posted: Feb 09, 2023 08:07 AM

See More Questions

The length of a rectangle is given as L I and its with as W w. (a) Show that the uncertainty in its area A is a = Lw + lW. Assume that the uncertainties I and w are small. so that the product lw is...
The length of a rectangle is 3 inches more than the width. Let W be the width (in inches), L be the length (in inches), and A be the area (in square inches). a. Sketch three possible rectangles of...
The length of a rectangle is 4 m longer than its width. If the perimeter of the rectangle is 64 m, find its length and width.
With a fixed cost of $100 per order, Nathan decided it was vital to get his money's worth. His monthly demand for energy drinks was 10,000 bottles and holding cost was estimated at 20% of unit cost....
Doctor Specialties Below are listed the numbers of doctors in various specialties by gender. Choose 1 doctor at random. a. Find P (malepediatrician). 0.498 b. Find P (pathologistfemale). 0.109 c. Are...
A substance has the following properties: Sketch a heating curve for the substance, starting at $-50^{\circ} \mathrm{C}$. AHvap AHfus bp mp 20 kJ/mol 5.0 kJ/mol 75C -15C C(s) Specific Heat...
Explain the difference between consent and informed consent.
On June 30, 2018, a county (government) hospital bought 3,000 shares of stock for $94,000 intending to hold the investment for its proposed expansion of its trauma center. The market value of the...
1. (a) (3 points) For which values of k > 0 is the spring-mass system y" + y' + ky = 0 (i) underdamped; (ii) critically damped; (iii) overdamped? For which value(s) of k > 0 is it possible for a...
Paxton Products, which uses a job order cost system, completed the following transactions during the current month: (A) Materials costing $75,000 were used on various jobs. (B) Time cards of workers...
The ordering and transportation cost C for the components used in manufacturing a product is where C is measured in thousands of dollars and x is the order size in hundreds. Find the rate of change...
Determine the point(s) in the interval (0, 2) at which the graph of (x) = 2 cos x + sin 2x has a horizontal tangent.
On December 18 of a leap year, Stacy opened a savings account by depositing $6,000. The account pays 1.45% interest, compounded daily. On December 19 she deposited $500, and on December 20 she...
Applied Medical Services buys a diagnostic piece of equipment for $326,000. The machine will be depreciated on a straight-line basis for 10 years with a salvage value of $75,000. The company expects...
Q2. The sand (Gs = 2.65) in a deep natural deposit has an effective angle of internal friction of 37 and a dry unit weight of 17 kN/m. Calculate the shear strength of the sand at a depth of 6 m below...
This year's bundle of office cleaning products cost $ 82 . The table below shows the same bundle of cleaning products purchased last year. How much did the cost increase this year?
example of estimating costs for a used machine, assume you just bought a 25-foot chisel plow that was 8 years old for $24,000. It appeared to be clean and in good mechanical condition. Since you do...
What is the first step in reviewing your current record keeping system? find out how your organization currently presents or reports their data gather information on how the system currently collects...
Describe clearly the four steps in the decision making process and apply the steps to a problem you would like to solve.
The population of Detroit, Michigan, decreased from 1,027,974 in 1990 to 688,701 in 2013 (Source: U.S. Census Bureau). Find the average rate of change in the population of Detroit, Michigan, over the...
Determine the convergence or divergence of the series. 18 n=1 + k n
Write an expression for the nth term of the sequence and then determine whether the sequence you have chosen converges or diverges. (There is more than one correct answer.) 1 2 3 2.3'34'4.5'5.6'' 4
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. 00 If 0
I Z X (b) List three factors that increase compressive strength of intact rock material in laboratory testing: (c) List two factors that influence the stress distribution around a circular tunnel....
Assignment 1.1 - Rock Mass Classification Underground excavations are to be done in the granite, sandstone and mudstone. Rock mass qualities of granite, sandstone and mudstone are to be assessed...
What is the minimum volume in m^3 of clay required for the development with the following characteristics? Creating a foundation layer for 1-hectare commercial development Gs=2.65 Dry unit weight=...

The length of a rectangle is given by 6t + 5 and its height is t, where

Question:

Step by Step Answer:

Area At 6t ...View the full answer

Calculus

Students also viewed these Mathematics questions