Suppose that the temperature at a point (x, y, z) in space is given by T(x, y,
Question:
Suppose that the temperature at a point (x, y, z) in space is given by T(x, y, z) = 80/(1+ x2 + 2y2 + 3z2), where T is measured in degrees Celsius and x, y, z in meters. In which direction does the temperature increase fastest at the point (1, 1, –2)? What is the maximum rate of increase?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
The gradient of T is At the point 1 1 2 the gradie...View the full answer
Answered By
Fahmin Arakkal
Tutoring and Contributing expert question and answers to teachers and students.
Primarily oversees the Heat and Mass Transfer contents presented on websites and blogs.
Responsible for Creating, Editing, Updating all contents related Chemical Engineering in
latex language
4.40+
8+ Reviews
22+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Q2. When recording depreciation, total assets decrease and total liabilities increase. O True O False
-
Professor Shulman is the PM of a LEED project in an Agile environment. His team has a great record of delivering the end product to the customer, but recently he found one project is experiencing a...
-
Most Universities have a mission statement. Write a mission statement for your university. Does having a comprehensive mission cause high performance? Justify your answer.
-
Player A has a $1 bill and a $20 bill, and player B has a $5 bill and a $10 bill. Each player will select a bill from the other player without knowing what bill the other player selected. If the...
-
Mark Phipps was employed as a cashier at a Clark gas station. A customer drove into the station and asked him to pump leaded gasoline into her 1976 Chevrolet, an automobile equipped to receive only...
-
A generous benefactor donates $500,000 to a state university. The donation is to be used to fund student scholarships. Determine the dollar amount of scholarships that can be given out each year...
-
In the organizational chart for the consumer-packaged goods firm in Figure 22 5, where do product line, functional, and geographical groupings occur? Figure 22-5 Chief Marketing Officer or Vice...
-
Allison Co. has the following postretirement benefit plan balances on January 1, 2012. Accumulated Postretirement benefit obligation ..................$2,535,000 Fair value of plan assets...
-
rephrase. PT IS WIDOWED AND ORIGINALLY FROM GERMANY. PT SPOUSE DIED 4 YEARS AGO AND PCG REPORTED SHE HAS STUGGLED WITH ANXIETY AND DEPRESSION EVER SINCE. PT HAS 2 ADULT CHILDRE THAT ARE VERY INVOLVED...
-
Find the equations of the tangent plane and normal line at the point (2, 1, 3) to the ellipsoid 4 + y2 + || 3
-
Find the maximum value of the function f(x, y, z) = x + 2y + 3z on the curve of intersection of the plane x y + z = 1 and the cylinder x 2 + y 2 = 1.
-
An elliptical staircase that decreases can be modeled by the parametric equations x = rcos(t) y = rsin(t) z = ht/n where r = ab/[bcos(t)2 + [asin(t)2, a and b are the semimajor and semiminor axes of...
-
A long - sighted eye has a near point at 0 . 5 0 m away. Calculate the power of the correcting lens to give a corrected near point at 2 5 cm from the eye.
-
You have been asked to evaluate the investment opportunity for a company your firm would like to invest in. From all the available data that you have compiled, you have summarized the following...
-
Use MATLAB to solve the following: Consider the random variable X = [(Ui - 12) 12 i=1, where the Ut's are uniform random variables. 6.1 Write a MATLAB code to estimate (use 1,000 trials) the PDF...
-
You get a job in the mortgage-backed security department at Moodys, a rating agency. The model you are given states that mortgage defaults are independent events. You are asked to rate the following...
-
Use the linear equation to find the estimated top speed of a rollercoaster based on a max height of 190 ft. Must show work or no credit. Name Max Height Top Speed Blue Streak 78 40 Iron Dragon 76 40...
-
Whats the relationship between the design of a manufacturing process and the firms strategic competitive dimensions (Chapter 2)?
-
During 2012, Cheng Book Store paid $483,000 for land and built a store in Georgetown. Prior to construction, the city of Georgetown charged Cheng $1,300 for a building permit, which Cheng paid. Cheng...
-
What happens to the budget line if the government applies a specific tax of $1 per gallon on gasoline but does not tax other goods? What happens to the budget line if the tax applies only to...
-
Suppose that Boston consumers pay twice as much for avocados as they pay for tangerines, whereas San Diego consumers pay half as much for avocados as they pay for tangerines. Assuming that consumers...
-
A function ((X, Y) is homogeneous of degree ( if, when we multiply each argument by a constant , f(X,Y) = (((X, Y). Thus, if a function is homogeneous of degree zero, ((X,Y) = 0( (X, Y) = ((X, Y),...
-
Find the requested value. f(-4) for f(x) = x-2, if x>-1
-
3.8 For each function f(x) below, find a domain A and range B such that f: A B has an inverse. In each case, find a formula for the inverse. a) f(x)=5x+1 b) f(x) = x c) f(x) = In (e-1) d) f(x)=Inx-1...
-
3.6 For what values of x is it possible to form the composite functions fog and gof, in the following cases? a) f(x)=x, g(x) = e b) f(x) Inx, g(x)=-1.
Study smarter with the SolutionInn App