Find the linear approximation of the function f(x, y) = 1 - xy cos y at (1,
Question:
Find the linear approximation of the function f(x, y) = 1 - xy cos πy at (1, 1) and use it to approximate f(1.02, 0.97). Illustrate by graphing f and the tangent plane.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (3 reviews)
fx y 1 xy cos ny f x y y cos my and fyx y xy sin ny cos y1 xy sin ny x ...View the full answer
Answered By
Parvesh Kumar
I am an experienced Mathematics and Statistics tutor with 10 years of experience teaching students and working professionals. I love teaching students who are passionate to learn subjects or wants to understand any mathematics and statistics concept at graduation or master’s level. I have worked with thousands of students in my teaching career. I have helped students deal with difficult topics and subjects like Calculus, Algebra, Discrete Mathematics, Complex analysis, Graph theory, Hypothesis testing, Probability, Statistical Inference and more. After learning from me, students have found Mathematics and Statistics not dull but a fun subject. I can handle almost all curriculum of mathematics. I did B.Sc (mathematics), M.Sc (mathematics), M.Tech (IT) and am also Gate (CS) qualified. I have worked in various college and school and also provided online tutoring to American and Canadian students. I look forward to discussing with you and make learning a meaningful and purposeful
5.00+
4+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Find the linear approximation of the function f (x, y, z) = (x 2 + y 2 + z 2 at (3, 2, 6) and use it to approximate the number (3.02) 2 + (1.97) 2 + (5.99) 2 .
-
Find the linear approximation of the function f (x, y, z) = x 3 y 2 + z 2 at the point (2, 3, 4) and use it to estimate the number (1.98) 3 (3.01) 2 + (3.97) 2 .
-
Find the linear approximation of the function f(x) = 1 x at a = 0 and use it to approximate the numbers 0.9 and 0.9. Illustrate by graphing f and the tangent line.
-
The pump shown below inputs 55 horsepower to the water (at 91% efficiency) as it pumps water from the ocean bay reservoir to the upper seawater reservoir (68F). The elevation difference between the...
-
What are the similarities and differences between these statements?
-
The graph in the figure approximates the rate of change of the price of tomatoes over a 60-month period, where p(t) is the price of a pound of tomatoes and t is time (in months). (A) Write a brief...
-
This case stems from a rocky relationship between two Texans. Lawrence Shipley was the president of Shipley Do-Nut Flour & Supply Co., and Andrea Vasquez was a substitute school teacher in the...
-
Cisco's Sumptuous Burritos produces two burritos, chicken and steak, with the following characteristics: The total fixed costs for the company are $200,000. a. What is the anticipated level of...
-
True regarding amendments that propose to change the proportional percentage by which each condominium or cooperative member shares common areas expenses or owns the common surplus in Florida?
-
Suppose that you research an issue for your client relating to preparing the clients tax return and you find an appellate court case from another appellate region that supports your clients position,...
-
Show that the Cobb-Douglas production function satisfies P(L, K 0 ) = C 1 (K 0 )Lby solving the differential equation dP/dL = a P/L
-
Find the differential of the function. z = e -2x cos 2t
-
A royal ush in the game of poker occurs if the player gets the cards Ten, Jack, Queen, King, and Ace all in the same suit. Use the procedure given in Problem 37 to compute the probability of being...
-
Evaluate. (Be sure to check by differentiating!) S= 3+6x d x-1 dx, x # 3 + 6x 2
-
Read the case study below and then answer the questions that follow. As a group your answer for each question should be between 150 and 180 words in which you refer to at least (1) reference to...
-
A new operating system for an existing machine is expected to cost $740,000 and have a useful life of six years. The system yields an incremental after-tax income of $215,000 each year after...
-
Ohsem Berhad is a company that sells nutrition supplements and health care products. The financial statements of the company for the year ended 30 June 2016 is shown below: Statement of Profit or...
-
A heat pump with R-134a enters the compressor as a saturated vapor at -16 C, and is compressed to 1 MPa at state2. The fluid cools isobarically until it enters the throttling valve at state 3 as a...
-
A plane flies with a constant velocity of 222 m/s. The clocks on the plane show that it takes exactly 2.00 h to travel a certain distance. (a) According to ground-based clocks, will the flight take...
-
For the following exercises, write the first four terms of the sequence. a n = 2 n 2
-
a. Find the critical points of f on the given interval. b. Determine the absolute extreme values of f on the given interval when they exist. c. Use a graphing utility to confirm your conclusions....
-
a. Locate the critical points of f. b. Use the First Derivative Test to locate the local maximum and minimum values. c. Identify the absolute maximum and minimum values of the function on the given...
-
Determine the following indefinite integrals. Check your work by differentiation. (2 sec 2 2v dv
-
Part II. Big Fish Tackle Co. Ltd. reports the following inventory transactions for its fishing rods for the month of April. The company uses a perpetual inventory system. Instructions Date...
-
Maria phone ltd needs TK. 5000000 to finance its processing equipments. Rural Bank ltd agreed to meet the requirement @ 12 % interest. The loan should be paid in next 4 years. You are requires to...
-
A brief biography of your inventor Your inventors main invention (and other inventions if applicable) How the invention(s) helped American economy, business, or citizens (its significance) Either an...
Study smarter with the SolutionInn App