Find the linearization at x = a. f(x) = 3x*, a = 1 (Use symbolic notation and fractions where needed.) L(x)

Q: The linearization at a=0 to √2+5x is A+Bx. Compute A and B

A:

Q: EXERCISE 1. Find equation 2. For the E different- Xフ5 -h (x 5oɔ 9-T)(XUIS h+ X) =(x) J () a) f(x) =…

A:

Q: Two equivalent forms of the Chain Rule for calculating the de-rivative of y = f(g(x)) are presented…

A: Given, if y=fx and u=gx then the derivative of their composition can be expressed as

Q: hain Rule to find the

A: Here we have to use the chain rule and find the indicated partial derivative.  we have,

Q: Find y' for y = vTy at the point (9,1).

A: Given: y=xy ⇒y=x12y12 ⇒y12=x12

Q: Find the linearization of y = at x = 16.

A:

Q: 5. Find the linearization, L (x) f (a) + f' (a) (x – . a) of the given function "f" at "a". %3D - f…

A:

Q: Let h(x, y) = , x = 8t t2, y = 7tt2. %3D Use the Chain Rule to calculate the partial derivative.…

A:

Q: 4. Find the orthogonal trajectories of the family of curves y= Ce“ + 10

A: Here we have to find the orthogonal trajectories

Q: Given f(X)=−xe^x whats the root of the linearization of f(x) at a = 4.3?

A:

Q: Q3:Find all the second order partial derivatives of the f(x, y) = 2x*- 5x'y3-y

A: Given: A function fx,y=2x4-5x3y3-y3. First, find first-order partial derivatives fx by…

Q: COE Compute the mixed second order partial derivative of z =

A:

Q: Suppose that a consumer derives his utility from two goods, the amounts of which are x and y,…

A:

Q: Make an example of an autonomous ODE, with stable equilibrium at -1 and 3, and an unstable…

A:

Q: If 0 < f(x) < g(x) for all x and I f(x)dx diverges, then | g(x)dx diverges. 13 Select one: True…

A: Given the statement

Q: 4. Consider the logistic map f(x) = (1+ v6)x(1 – x) • Find the fixed point of 2-periodic cycle. •…

A:

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ |f₂(x, y) = O f.(x,y)= f₂(x, y) = 1…

A: We have to find derivative

Q: Find the linearization L(x) of y = e5* In(x) at a = 1. L(x) =

A: Given that:y=e5xln(x)a=1To find the linearization

Q: If Σ α An diverges then E ca can diverges only if c > 0 only if c < 0 only if c+ 0 for any real…

A: Given, ∑an diverges then find for which values of c, ∑can diverges.

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

A:

Q: 4. Find the orthogonal trajectories of the family of curves y = Ce* +10

A: Given that : y = Ce2x + 10

Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

Q: find a linearization at a suitably chosen integernear a at which the given function and its…

A: The nearest integer to a=-0.9 is -1 because at this point, we can easily find the function's value…

Q: Find the Linearization L(x) of y= (3+ x)-1/2 at a = 1. L(x) =

A: To find the Linearization.

Q: Let f(x, y, z) = 4xy – z², x = 6r cos(0), y = cos (0), z = 3r. Use the Chain Rule to calculate the…

A:

Q: xsin 1x Vx+1 2tan-x Vx+1 2tan-1x QI) Find of y=: e2x+1

A: We will find dy/dx as following .

Q: find a linearization at a suitably chosen integer near a at which the given function and its…

A: (1)Given:

Q: LetX1,X2,...,Xn be a sequence of independent and identically distributed random variables having the…

A: It is known that E(Xi) =1/λ and Var(Xi) =1/( λ2) EY=EX1+X2+...+Xn         =EX1+...+EXn…

Q: Find the linearization of y=2^x at a=0

A: use derivative to find the Linearization of y

Q: Compute the partial derivative of h(x, z) = e4xz-3x²z. (Use symbolic notation and fractions where…

A: In this problem first we need to partially differentiate the function with respect to z and then put…

Q: 2] write the chain rule formula for the derivatives Of and E , where Z=ZCrisit).

A:

Q: Find the linearization of ƒ(x) = √1 + x at x = 0

A: Consider the following function: fx=1+x Differentiate fx with respect to x: ddxfx=ddx1+xf'x=121+x

Q: Find the linearization L(x) ofy = e8# ln(x) at a = 1. L(x) =

A: We will use formula for linearization at one variable.

Q: Express the autocorrelation function of the process {X'(t)} in terms of the autocorrelation function…

A:

Q: Find the first partial derivatives of the funct f(x, y) = x8 + 7xy5 fx(x, y) =

A:

Q: Find all first partial derivatives. f(x, y) = 4x2 − 2xy + y2

A: Consider the given function  fx,y=4x2-2xy+y2

Q: Use the Chain Rule to calculate the partial derivative. Express the answer in terms of the…

A: Given

Q: Compute the indicated partial derivative. g(x, у) %3 сos(x + ) 9xxy

A:

Q: Find the partial derivative of fy for the function * 3 f (x, y) = (3x² + y²) ³ 3x² (3x² + y²)²…

A:

Q: Use the Chain Rule to evaluate the partial derivative h at the point (q, r) = (1,3), where h(u, v) =…

A:

Q: Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY

A:

Q: find orthogonal trajectories of   x2+(y-c)2=c2.

A: x2+(y-c)2=c2 now differentiating both side with respect x , we get 2x+2(y-c)dydx=0 or, dydx= -x(y-c)…

Q: Find all the second order partial derivatives of the given func f(x.y) = xy2 + yex + 5 A.

A:

Q: Estimate v16.3 using the linearization L(x) of f(x) = /x at a = 16. (Use decimal notation. Give your…

A:

Q: a) Find the marginal pdf's of X1 and X2 b) Are X1 and X2 independent? Why or why not? c) Find P(X1 <…

A:

Q: 12. Differentiate the function (use chain rule): y = 2x2 Vx+1'

A: To differentiate the given function

Q: Find the linearization L(x) of y = e6« ln(x) at a = 1. L(x) =

A: