Question: 1. approximate ( sin 1) e by using the differential of the function f(x,y ) = (sinx.) ey at (3TT, 0) (8 points) 2 .

1. approximate ( sin 1) e by using the differential of

1. approximate ( sin 1) e by using the differential of the function f(x,y ) = (sinx.) ey at (3TT, 0) (8 points) 2 . For the function f(x, y ) = x3 - 2 xy + 3y? find the direction and magnitude of the maximum rate of increase at (2, 1). (5 points) 3. Calculate the u- directional derivative at (0, 0) in each case. ( 6 pets. each) , ( x,y ) * (0,0), (a) f(x, y )= X (x ,y ) = (0,0), (b ) f (x,y ) = 5x+ 7 x M = ( x - 1 ) 2 - y

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Name class date Precalculus Unit 4 Practice Lesson 21-1 5. Make sense of problems. Suppose you know that cos u 5 20.25. 1. Make use of structure. Express each trigonometric function as a reciprocal...

Antidifferentiation 1 05 points 3 0.5 points G(x) = -'r'+3 H(x) = -2 -7 M(x) = -x+ } J vz (5x + 3) dr = 101 + 1 + C All the three functions above are antiderivatives of the function f (x) = -2r. True...

1) Find the largest possible domain and corresponding range of the function f (x, y) = V9 -22 -yz. Determine the equation of the level curves f(x, y) = c, together with the possible values of c. 2)...

2. In this question, you'll examine the function f(x) = arccos(x). (a) Sketch the graph of cos x on [0, ?]. Label at least 4 points on the graph with exact coordinates, and make sure the range of...

HW # 2 Integrals and more 1) Calculate the following indefinite integrals a) J(x* + 3x - 8)dx b) S (3e* + 2cosx)dx c) J (tanx) dx 2) Evaluate the following definite integrals XP ( I + z x ) fle 10 e...

Use a graphing calculator such as TI-84 plus 1. Analyze the polynomial function f(x) = 49x - xAnalyze the polynomial function f(x) = 5x *+ 10x" - 45x 3 - 90xProblem 1: Analyze the polynomial function...

6) compute the derivative of the given function . f ( x ) = 2 sinx - 2cosx - 1 f' ( X ) = 7 compute the derivative of the given function . g (+) = 4 ( asit - 2 cost)6 y' ( t ) = 8 Let: f ( x ) = - 2...

HW # 2 Integrals and more 1) Calculate the following indefinite integrals a) S(x4+ 3x - 8) dx b ) S (3ex + 2cosx) dx c) S (tanx) dx 2) Evaluate the following definite integrals a) So (x2 + 1) dx 10...

I. Convert S radians into degrees: Mark Value: 3 (b) 5a (c) 36 900 2. (e Determine the minimum of the trigonometric function f (x) = -2 cos(3x) -4 -1 -2 (g) -4 (h) - 6 Mark Value: 3 3. Convert 160...

Q2) If 10% of the mass in the Sun (i.e., 0.1 M of hydrogen atoms) will be converted to helium, how long will that take; i.e., what is the expected main sequence lifetime of the Sun? You may assume...

On a piece of graph paper, construct a consumption function from the data given here and determine theMPC. Consumer Year Spending Disposable Income 2003 $1,200 $1,500 1,800 2,100 2,400 2007 2,160...

19 Show that the HCF of 63 and 110 is 1.

Please describe the Sensitivity analysis? 3 SENSITIVITY ANALYSIS TOTAL BRAND OBROTO BROTO spetsia ep1.00 2010 2010 fragon [ wholesale) whiclesale) 1 BF010 40 9 m 58 365 10.95 36 123 51.47 3.311 3311...

4. Select a person you want to model. Choose what you want to model in this person, such as relationship skills. a. Observe what he does and how he does this in relationships with others. b. Try to...

2. Start with a person you want to model. a. Use the five positions to investigate how this person positions himself in relation to others, i.e. how he uses the five positions in his interaction with...

1. Start with a leader that you want to model. a. What is the stated purpose of this person? b. What is the vision of this person? c. How does he seek to achieve his purpose and vision? d. What does...