Let f(x) = v3x + 4, let g(x) = Va, and let u = 3x + 4. Thus, f(x) = g(u) Part 1 Part 2 Part 3

Q: Let c>0 be a constant.  Is this result true or false?

A:

Q: a4A Function is said to be homogeneous if it fulfills the condition f Ctx,ty) (大)すt O true O Error

A: We will justify that given statement is true or false.

Q: ) Estimate the value of Csc (0. 2) using linear approximation and without using any kind of…

A: Given problem:- Estimate the value of csc(0.2) using linear approximation

Q: Use linearization to determine an approximation of V1002.

A:

Q: In Exercise, find the best linear approximation to f on the interval [0,1].                   f(x) =…

A: For the linear approximation of any function,there is a use of linear function which is widely used…

Q: 4. Let A(x) = ſ dt. Find the local minima, local maxima, and t2+1 inflection points of A(x).

A:

Q: Let f(x, y) = ln(x + y − 1). Then, ƒ(e, 1) =

A:

Q: 1. Explain why / f'(t) dt = f(b) – f (a). ||

A: Refer to image below.

Q: Prove valid 1. (x) (~Ax v Fx)                             / (x) (~Gx--> ~Ax) 2. (y) (~Fy v (~Cy v…

A:

Q: Exercise 3: Suppose that in an electric display sign there are three light bulbs in the first row…

A:

Q: 5Find the Orthogonal trajectories of the family of r=aeº

A: Question:- Find the orthogorial trajectories of the family of r=aeθ ?Solution :- We have r=aeθ -(i)…

Q: I'(x) p-let dt,

A: Γ 12=2×∫0∞e-u2 du Here, Let's calculate the value of Γ 12, The gamma function is defined as Γ…

Q: Fundamental Theorem: 2z Let f(x) = | Vcos t + t° dt . Find the value of f'(x). %3D 1

A:

Q: the linearization of (fi,f2) = (x²y+ 3xy², 3x³ + 2xy) at (1,0) to approximate the value at…

A:

Q: Show that B is a linear function of Y,, Y2. Yn Show that B is conditionally unbiased.

A: The regression model is  Yi = βXi + ui We have to show that β is conditionally unbiased.

Q: Let F(z, v)-v +y+3z+1-0

A:

Q: 1 f(v) = , sec vtan v, F(0) = 4, 3 <V<-

A:

Q: [1] Determine the orthogonal trajectories of y(1+2x?)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1)

Q: \+etari), find f.. S, and f.- xyz 3. If f(x,y,z)= hn 2

A: We have to find fx , fy , fz.

Q: You know that: g(t) dt = 21 3 9(4) : %3D V3 g(9) = 3. V3 g'(x) Evaluate: da 9 + (g(x))²

A:

Q: Find the orthogonal trajectories of the following family: y = Ce-x

A: First differentiate then  solve

Q: f(x, y) = In (x²y - x) %3D

A: Here, the given function is: f(x,y)=ln(x2y-x) First to find the first derivatives:…

Q: 4. Let f(x, y)=2x*y' . Find f,(x,y)

A:

Q: Let A = {(x,y) = RXR; 0<max{|x-3], ly- 2|}<1}, then: *

A:

Q: Find the orthogonal trajectories of the family y = 1 - sec?r + C 4

A:

Q: Let f(x, y) = ln(x + y − 1). Then, ƒ(1, 1) =

A: The given function is;  f(x,y)=ln(x+y-1).

Q: Ving model: Y; = Bo + B1Z¢ + B2X¢ + B3Xt-1 + B4Xt-2 + Et %3D as of freedom will vou have for this…

A:

Q: 6) If y=x² +1+ f dt , prove that y"= 2 - x2

A:

Q: Find the orthogonal trajectories of a - =1; where 2 is an arbitrary parameter. a + 2

A: This is a question of the Differential equation.

Q: Consider a consumer whose utility function is u(z1, 2) = - exp(-ar,22) Can you take first order…

A: Please check the solution below

Q: If f(x) = t°dt then = (x),f

A:

Q: Find the best linear approximation, g, to f on the interval [0, 1]. (x) = 2/x g(x) %3D

A:

Q: Let f(r) = Vt3 +1 dt for r2 3. 3

A:

Q: [1] Determine the orthogonal trajectories of y(1+2x²)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1) Determine the orthogonal…

Q: 8. Find the orthogonal trajectories of y = cx CX

A:

Q: Verify Young's Theorem S. f(x, y) = = e(2x+y) In(xy)

A:

Q: 1 3. Let f(x, y, z) = Show that Vx2 + y² + z²° frx + fyy + fz2 = 0.

A: Given fx,y,z=1x2+y2+z2 To show fxx,+fyy+ fzz=0

Q: The orthogonal trajectories of a + 9 is where a being r = parameter.

A:

Q: Verify Young's Theorem f(x,y) = e(2x+y) In(xy)

A:

Q: Let X and Example 20. PDF 0<I<3, 0<yS3 fxy(r, y) = otherwise Find

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Maximize the function f(x,x2), using the Newton Optimization Method. f(x1, x2) = x1x2 + x1 +5x,2 +…

A:

Q: x² – y² = = CX

A: For orthogonal trajectories, replace dy/dx by -dx/dy and solve it.

Q: Find div F if F(x, y, z) = (x² + y)i + z²j + (eY - z) k.

A: Our Aim is to find the value of div F if F(x,y,z)=x2+y i +z2 j+ey-zk -(i)Let  F(x,y,z)=x2+y i +z2…

Q: a Find the Orthogonal trajectories of the family of r =; 1+coso

A: we need to find the orthogonal trajectories of the given family of the curve in the polar form.

Q: Find f(3,4) for f (x, y) = In(x + /x² + y²). %3D

A: Given:- f(x, y) =ln(x+√(x2+y2))  To find:- fx(x, y) at (3, 4)

Q: 4. Let F : R² → R² defined by F(x,y) = (2x +3y, –x +y). Is F a linear? Why?

A: Given

Q: 8. Find the orthogonal trajectories of CX

A:

Q: 8. Find the orthogonal trajectories of y cx

A: