2x2 If we approximate f(-/4.1,/49.1)' Suppose we have a surface f (x,y) ,which of the following is the Local Linear = у Approximation of f(x,y) using a point (- 2,7) for (x 8 (x+2) – 7 8 (у — 7) + 49 :- - 7 8 (x+2) – 7 8 (у+ 7) + 49 8 = - - 7 1 = -- (x+2) – 7 1 (у — 7) + 7 8 7 1 z=+ - (x+2) + –(y – 7) - - 49 1 1 7 7

Q: the line (x/a)+(y/b)=1 moves in such a way that (1/a\power{2})+(1/b\power{2})=(1/c\power{2}) ,where…

A: Variable line is                xa+yb=1                 ......(1)Any line perpendicular to (i) and…

Q: First assume there are three data points (1, 2), (3, 5), and (4, 6). Show that the function of m and…

A:

Q: Determine whether each of the following statements is true or false, and explain why. The…

A: The list of probabilities of various outcomes, all of them mutually exclusive and exhaustive is…

Q: AJKL has coordinates J (2, 4), K (3, 1) and L (3, 3). A translation maps the point J to the point J'…

A: Explanation: Given that, △JKLJ(2,4)→J'(3,3)K(3,1)L(3,3)     Concept Used: To translate the given…

Q: Prove that the symmetric difference quotient is the average of the slopes of the secant lines from x…

A: To prove: Average value o the slope of secant line from x to x+h and from x-h to x is equal to the…

Q: y - 2)2 + (x-2)2 . Find the direction of heat flow in the plate at the point (2, 1). Heat flows in…

A: Introduction: The gradient of the temperature function at the point is the direction of the greatest…

Q: Question 2 Find the minimum value of (x.y)=2xr+4y on the curve x^2+xy+y^2=16 Select one: а. -18 C b.…

A: Given, fx,y=2x+4yx2+xy+y2=16         let gx, ygx,y=x2+xy+y2-16

Q: 3) Consider stress of a body at a particular point is give in the form of Q(x1, x2, X3) = xỉ – x –…

A: Given: Qx1,x2,x3=x12-x32-4x1x2+4x2x3   To find: An orthogonal change of variables that eliminates…

Q: A rock is tossed at an initial velocity of 60 m/s at an angle of 10° with the ground. After 0.9…

A: The solution of above question is written below.

Q: SF. dr, where F (x, y) = (6x − 2y)i +x²7, Evaluate from (6,-3) to (0, 0). and C is the line segment

A:

Q: Given the function g of the two real variables t and u by g(t,u)=t^2 + tu-u^2+(6+2)u c) Determine…

A: Linearization of a function g(t,u) about (a,b) is  L(t,u)=g(a,b)+(t-a)gt(a,b)+(u-b)gu(a,b)

Q: Let Ax,y) = 5x + 5xy – 6y. Give the coordinates of a point on the graph of f at the point (3,6). O…

A:

Q: 2. Find the equation of the place that pusses + through the point= (-1,2,1) Contains the line of…

A:

Q: Find Vf(a), given the following data. Calculate 91, 92 and g3 such that Vƒ(a): 91 92 93 = || || = 91…

A: The given problem is to find the grad f for the given data of directional derivative of function f…

Q: 0. F A particie moves along a norizontal line. Its position function is s(t) problem, find the…

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

Q: If A = 3a_0 + 2a_0 - 5a_z and B = -2a_p + 3a_0- a_z are given at points P(3,T1/6,5) and Q(4,T1/3,3)…

A:

Q: Find the gradient of w= 3x² - 5y* + 2z at the point (1, 1, -2)

A: The given function is: w=3x2-5y2+2z2

Q: 2. The wave heights h in the open sea depend on the speed v of the wind and the length of time t…

A:

Q: Use Linear Approximation to estimate the change, Az, in z = 8x2 + y? as (x, y) changes from (2, 3)…

A:

Q: Consider the line y = Bo + Bjx. (i) Let (x), y1) and (x, y2) be two points on the line. Show that…

A: Introduction: The regression equation for a simple linear regression model of the response variable,…

Q: Let I be the line passing through the point P=(3, -2, 1) with direction vector -[3, 2, -3]T. Find…

A: If we drop a perpendicular from a point P on a line  l then foot of perpendicular will be closest…

Q: Which of the following functions are linear? Justify your answer in a comprehensible manner. In the…

A:

Q: Given the 3 functions. F(x,y) = 2x+y. G(x,y) = x^2 + y, and H(x,y) = (x^3 + y^3) / (x^2 + y^2)…

A: Given: Fx,y=2x+y, Gx,y=x2+y, Hx,y=x3+y3x2+y2To classify each of the above given function as linear,…