3x+2y (8) Show that the function f(x,y) = is continuous at (4,-2). x+y+1

Q: f(x, y) = x + y? - 3x – 6y - 1. (iii) Find all stationary points of f (x, y) and determine their…

A:

Q: The function temperature c x minutes. W temperature c interval [0, 6]2 -8.93 (2) -0.11 Which stater…

A: Given: Nx=900.86x+69 To find the average rate of change over the interval 0,6.

Q: 3lnx – 3lny The function f (x,y) = x-y (A Homogeneous of degree 2 B) Nonhomogeneous C Homogeneous of…

A:

Q: How to do problem 1?

A: Given:                                   The curve…

Q: F(2) (ii) F(2) (ii) F(z) 1- 0.5 0.5 - | 0.5 - (Iv) F(z) (v) F(z) (vi) F(z) 1 1 0.5 - 0.5- 0.5 -…

A: Cumulative density function  F(x)=  P(X<=x) CDF  graph  is  increasing step   function

Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C,A and B are constant, C is a parameter

A: The given equation is y=Ax2+BX+C, where A and B are constants and C is a parameter. We have to…

Q: Calculus I In the exercise f(x)= cos x + sin x; [0,2pi], find the following 1.) Search for…

A:

Q: Finding the point that is closest to the point (2, 1,-1) among the points in the plane given by x +…

A: We have to find a function of two variables such that when we minimize it, we will obtain a point…

Q: x²+ y? 1-Vx² +y² +1 (х, у) # (0,0) f(x, y) = { k (х,у)%3 (0,0) What should K be for the function to…

A:

Q: ди = Y ду Show that u(x, y) = g(xy) satisfies x

A: We have to show that  u(x, y) = g(xy) satisfies  x∂u∂x = y∂u∂y.

Q: y3 (x, y) # (0,0) (x, y) = (0,0) 1. Let f(x, y) = {x2+y2' (0, Is the functionf continuous at (0,0)?…

A:

Q: e-Xcosx (0, 2 7). 28. Determine the relative extrema of the function on the interval

A:

Q: IV. Implicit differentiation 1. xy + y? = 1, find y? 2. x²y – xy? + x² + y² = 0, find y' 3. x? – xy…

A: Given: 1.xy+y2=1 , 2. x2y-xy2+x2+y2=0 3. x2-xy+y2=3 4. x3y+xy2=3 and x=1

Q: Continuity At what points of ℝ2 are the following functions continuous?

A: Consider the given function hx,y=x-y4

Q: f (x) dx = 3, what is the value of xf (x² – 4) dx? 1. Given that %3D | x 213 – 54 - 2. Given that f…

A:

Q: {CLO-2} Find the linear approximation, L(x), to f(x) at x = xo . f(x)=√10x+9, x = 0 O 10 L(x)=x+3…

A:

Q: Calculus III - Given the function f(x,y)=x^3-12x+y^3-3y find the global maximum and minimum on the…

A:

Q: e-(x-1)2-y – (x – 1)2 + y² 1 (x, y) + (1,0) If f(x, y) = (x, y) = (1,0) a is continuous at (1,0),…

A:

Q: Esyside Fom EPane s Elerentel - Ele Desmos | T-ting Fl aroo-Ee f(x) = 3x + 1, g(x) = x², h(x) = x+3,…

A: We have to find function

Q: Find the absolute maximum and minimum values of the function f(x, y) = x2 + xy + y2 on the disc x2 +…

A: Given fx,y=x2+xy+y2let gx,y=x2+y2-1Finding fx,fy,gx,gy   partial…

Q: Qno.4: Why is calculus importantin physics, Can you learn physics without calculus? Find the…

A: Solution:  Part 1:

Q: d. f(x) = 4 – e-(x-2)", (-∞,00) e. h(x) = xe-x, [0, 2] (a > 0) %3D f. f(x) = b – e-(x-a} , (-∞,00),…

A:

Q: 1 +x – 1 4. f : (-1,0) → R, Ax) = Examine the continutiy of this function.

A: Given, f:-1, ∞ → ℝ  fx = 1+x -1x   We have to examine the continuity of the function

Q: Qno.4: Why is calculus important in physics, Can you learn'physics without calculus? Find the…

A: Calculus is very important for physics it is like backbone of physics since calculus is highly…

Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C , A and B are constant, C is a parameter

A:

Q: f(0) = %3D f(x) = 0, f-'(0) = f-'(x) = 0, %3D

A:

Q: Let aggregate national income be given by Yt = Ct + It + Gt Where C, I and G are consumption,…

A: Solution Given Yt=Ct+lt+Gtwhere C,I and G are the consumption , investment and governament…

Q: e+-a -1/z -1 <x < 0 If function f(x) : 0 < x <1 ae2/=+be3/=| continuous at x = 0 then (1 ) α-1 (2) b…

A:

Q: Orthogonal Trajectories 1. The Cissoids u*=_x3 9-X (x? ty?)? =Cl2x? +y°)

A:

Q: (Wronskian) of the functions y1, y2, y3 defined below with constants a, b, c]. y1 (x) = 2a + 4x;…

A:

Q: 12 and y A closest to being equal? %3D At which integer value of x are the functions y %3D O A. 2 о…

A: Thanks for the question :)And your upvote will be really appreciable ;) Answer:- Close to -2 Option…

Q: ((x+1)ª-y² Consider the function g(x, y) = {(x+1)4+y²' -1, if (x, y) # (-1,0) if (x, y) = (-1,0)…

A:

Q: (NAS1) Find the local linear approximation L (x)of the function f (x) = 5 – xåt x = 2 -

A:

Q: x + 4 The maximum domain of the function f(x, y) In(y – x + 4) is the following: A) D= {(x, y) E R²…

A:

Q: 2. Let a function of two variables be defined by f(x, y) = xy+x- y. What is the value of f(3,8) ?…

A: Here the expression for the function f(x,y) is given. We have to find the value of f(3,8) For…

Q: i) F(s) = ii) F(s) = (s + 3)(s² + 16), s² + 10s + 2.

A:

Q: f(x)=3x2-12x+15 and the closed interval [3,0]. What is the critical value of f? a. x=2  b. x=4…

A:

Q: sider the function f(x, y) = x² + 2xy – 6x – y² + 2y + 1. %3D e box below, enter the maximum rate of…

A:

Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x= 3-2x measure.…

A:

Q: Examine the function for relative extremum and saddle point  (a) f(?; ?) = x2 − y2 − x − y  (b)…

A: We are use second Derivative Test to find the relative extremum and saddle point.

Q: %3D f(z) Let h(x) = J) where f(x) = In(x+1) and g(x) = 4x + 2. What is h' (0)?

A: We find h'(x) using the quotient rule.…

Q: ELIMINATION OF ARBITRARY CONSTANT/S EXERCISES: 3. y = C, cos x + C2 sin x

A:

Q: 2л2 + 5х — 63 a # (-7) f(x) = -5æ² – 29x + 42 C, æ = (-7) What value of C would make f(x) continuous…

A:

Q: e-(x-1)²-y² (x, y) # (1,0) If f(x, y) : (x – 1)2 + y² (x, y) = (1,0) а %3D is continuous at (1,0),…

A: According to question given that f(x,y) is continuous at (1,0)

Q: QI/ Find the orthogonal trajectories of the family of curves x+y -c.x Q2/ Show that. WARITH…

A: Given that

Q: critical point of the function f(, y) = 2xy+ x² + 2y².

A: Critical Points of 2xy+x2+2y2:  Critical points are points where the function is defined and its…

Q: 1. f(x) 16x? – 4x +5 %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: y(x) = c1e + czeX+ 4sin(x) ; y(0) = 1, y'(0) = -1 a. C1 = -2 C2 = 3 %3D b. C1= 2 C2 = -3 c. C1= -2…

A:

Q: y-1 Show that : B(x, y – 1) = B(x, y) x+ y-1

A:

Q: 3lnx – 3lny The function f (x,y): x-y Nonhomogeneous Homogeneous of degree 2 c) Homogeneous of…

A: The given function is: f(x,y)=3ln x-3ln yx-y          =3(ln x-ln y)x-y          =3 lnxyx-y

Q: (D² – 3D + 2)y 1+e-x

A: We have given the second-order homogeneous differential equation as D2-3D+2y=11+e-x. The auxiliary…

Q: I=-1 z=1 For what value of c is the function f (z) = { continuous at I=-1? 2-1 (z+1)(z-3) otherwise

A: The function is fx=cx=-15x=1x2-1x+1x-3Otherwise Apply the limits  as x tends to -1:…

Q: x+2 Find the linearization of f(x) = 2- 14 dt at x = 1. 4+t 3 X +2 14 The linearization of f(x) = 2-…

A:

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.