Find two unit vectors u such that Duf(1, 1) Here, f(x, y) = x² +9y². NOTE: you must enter your FIRST answer as the vector whose x compo- nent is NEGATIVE and your second answer as the vector whose x component is positive! and (05 u = -0.05 Y -0.99 0.99

Find two unit vectors u such that Duf(1, 1) Here, f(x, y) = x² +9y². NOTE: you must enter your FIRST answer as the vector whose x compo- nent is NEGATIVE and your second answer as the vector whose x component is positive! and (05 u = -0.05 Y -0.99 0.99

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 33EQ

See similar textbooks

Related questions

Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 9…

Q: Find the linearization of the following function, at theta = pi/4 f(theta) = sin(theta) cos(theta)

A: The given function fθ=sinθ cosθ. We have to find the linearization of the function at θ=π4.

Q: Find the derivative of g(x) = x² ex

Q: Maximizing Profits A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of…

Q: Find the intervals on which the function is increasing or decreasing. (X) =283 - 6x2-48×+ 12 List…

Q: Verify that the given differential equation is exact, then solve it. 10x 24y 16y 5x (3) dx + X y 4 X…

Q: For each function a) find the critical points/numbers, b) intervals of increasing/decreasing, c)…

Q: Determine the sum of the convergent series below. n=1 24n201-n

Q: In each case below, select the best answer to the question. (a) The graph of f(x) is shown below.…

A: Note:- Since you asked multilple subparts question,according to our policy we can provide first…

Q: 8. A bead slides down the curve xy 10. Find the bead's horizontal velocity at time t = 2 s if the…

Q: 1) Find the radius of convergence for f(x) =(-1)^4+1 ²n+1 n=0 4n+2

Q: If n(A) = 28, n(B) = 25, n(C) = 24, n(A n B) = 8, n(An C) = 12, n(B n C) = 7, and n(A U BUC) = 55,…

A: To find n(AΠBΠC)

Q: picture of your 2-Dimensional region to support your limits of integration SET UP the double…

A: To find the double integral to calculate the area.

Q: How does d/dx(xy^2) work?

A: We need to evaluate the following: ddxxy2 Product Rule: ddxfxgx = fxddxgx+gxddxfx

Q: Find the LU factorization of A = -1 -21 -3-7 I₂ A = || 21 x2 = 40 1 0 1 3 -3 -7 -1 0 and use it to…

Q: Find the critical points in the domain of the function f(x) = 8x³ - 7x.

Q: Some rational functions can have both horizontal and vertical asymptotes. Suppose that you have a…

A: Solution for above requirement are as explained below.

Q: In a trend that scientists attribute, at least in part, to global warming, a certain floating cap of…

Q: For all sets A, B, and C, we have the identity Ax (B-C) = (A x B)-(A x C). . Use element chasing to…

Q: Find the distance x = 2 + 6t, y x = 9-t, NOTE: Enter the exact answer. D = [ between the skew lines:…

Q: A drug is administered to a patient through an IV drip. The drug concentration (in milligrams/…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: Solving the following problem

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: NOTE: Refresh your page if you can't see any equations. . the revenue function is and the cost…

Q: F(x) f(x) 1 + f²(x)*

A: Given, F(x) = f(x)1 + f2(x) f'(x) is defined for all x∈[a,b]|f(x)| < 1 for all x∈[a,b]That is,-1…

Q: MATCHING LIST Question 8 Match each system of equation to the description of its solutions. 3x-9y+62…

Q: The following is a graph of a logistic function P=(L)/(1+Ce−kt) The marked point (25.60,17.5) is…

A: The solution is shown below-

Q: (It sinx) dx + #* HN (It sin x) dx

Q: Use implicit differentiation to find y' for 4x³y² + ln(xy³) Answer exactly. y' (1, 1) = 4 and then…

Q: Replace the Cartesian equation (x− 1)² + (y + 4)² = = 4 with an equivalent polar equation.

Q: Solve the following initial value problem using Laplace transform method: y"+3y'+2y=cos 2t y(0)=-1…

Q: Question #1- If the rate of change of a population of a town whose population is 10,000 dP in 2004…

Q: All Sections 1) Solve the following equations for t Jy evt = 2) Find the derivative of y with…

Q: The graph off is given. Sketch the graphs of the following functions. (Select the correct graphs.) y…

A: Transformatin rule:y = -fx : reflect fx about x-axisy = fx + C: Move fx up C unitsy = fx - C: Move…

Q: Find the derivate of this function]: 2 a) f(x) = 4x² + x + 9 at -5 f(-5) = b) f(x) = √√√x at 16 F'…

Q: Find the volume of the solid enclosed by z = 6, y = 0, y = 16-r², and z + y = 22

Q: Find the derivative of y = x²ª dy/dx =

Q: Part 1 Differentiate f(x) Answer: Part 2 df dx f'(x) = x³ - 4x + 5 x3 If f(x)=√x sinx, find f'(x).

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider a college student who works from 7 P.M. to 11 P.M. assembling mechanical components. The…

Q: True or False? The function f(x)=√4-x2 is guaranteed to have an absolute maximum and minimum on the…

Q: SET UP the double integral to find the area of e right by the parabola y = x², on the left by the…

A: Given Area is bounded by parabola (y=x^2) from right and line x+y=2 from left and y=4 from above

Q: A flagpole is 40 feet high and stands on level ground. A flag is attached to a 120 foot rope passing…

Q: Use the function below to answer the following questions. f(x) = x 12ln(x + 3) on the interval 0 ≤ x…

Q: Use matrix inversion to solve the given system of linear equations. (You previously solved this…

A: -2x+y=-4-2x-5y=-4if AX=Bthan X=A-1B

Q: Find the following limit. lim V

Q: Find dy/dx by implicit differentiation. y = sin xy dy/dx =

Q: A warehouse selling cement has to decide how often and in what quantities to reorder. It is cheaper,…

A: The given data is: C=5aq+3bq

Q: Use Question 1 and find the critical points for the function 2²³ 5 -4+1 3 1 + (+)² for x = [1,1].…

A: To find the critical points of the function F(x), we need to find the values of x where F'(x) = 0 or…

Q: 2. We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside…

Q: Estimate the area between the x-axis and the graph of f(x) = 9 - x² over the interval [-1,2] by…

Q: The derivative graphs for the functions f, g, h, and p over some interval are shown below. Use these…

A: The given data is: The derivative graphs for the function f, g, h, and p over some interval shown…

Question

This is a practice problem from my Multivariable Calculus course:

Find two unit vectors u such that Duf(1, 1) = 0. Here, f(x, y) = x² +9y².
NOTE: you must enter your FIRST answer as the vector whose x compo-
nent is NEGATIVE and your second answer as the vector whose x component
is positive!
(
u=
-0.05
I
-0.99
X
) and
(
0.05
X
0.99
X
>

Study of calculus in one variable to multiple variables. The typical operations involved in multivariate calculus are limits and continuity, partial differentiation, and multiple integration. Major applications are in regression analysis, in finance by quantitative analysis, in engineering and social science to study and build high dimensional systems and exhibit deterministic nature.

Expert Solution