3- if x < -2 if – 2 2 -2 *(x) = —х + 1 2 1- -4 -2 -1 1 2 3 4 -1 -2- -3 2.

Q: 2 A manufacturer makes a product, of which the principal ingredient is a chemical, X. moment, the…

A: From the given data, State of nature Course of action    S1 (Use Y and Z) S2 (Use X)…

Q: In order to solve for the standard enthalpy change, AH°,you must: Step One Add the same expression…

A: Multiply with suitable term such the only required variable remains in right side.

Q: Find the critical numbers of f(x) = x 3/5  (4 -x )

A:

Q: Classify the critical point (0,0) for for all - 0 <µ<0. 2 -

A: given system of matrix x'y'=022-μxy     for all -∞&lt;μ&lt;∞ claim- to classify the critical point…

Q: 3-S- In(x²+x)-Inx-elnx dx In(ex+1))

A: We will be using the integral formula of log function to solve the above given integral. We can…

Q: Find f"(x). 13. f(x) = x³ – . 3 14. (x) = x* + 15. f(x) = x'/5 16. f(x) = x'/3 17. f(x) = 2x-2 18.…

A: As there are multiple questions 13 is solved here.

Q: 1. The first approximation of the root of xlogx - 1.2 = 0 in [2,3], by Regula Falsi method (False…

A:

Q: 4 ,5 Let f(x) = 7x* In(x) f'(x)

A:

Q: B. Find the extreme values on the given closed interva 1. f(x) = 4x - 3; [1,5] 2. f(x) = x + 8;…

A: follow next step

Q: In Problems 23–38, for the given functions f and g, find:(a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘…

A: In Problems 23–38, for the given functions f and g, find: (a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘ g…

Q: Prove: cosh 3x = 4cosh'x- 3 cosh x %3D

A: We will solve the following.

Q: if x = 0 11. f(x) = x - 1 if 0 < x < 1 In x if x = 1 et

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1 If f(x,y,z)= of then x-y-3-

A:

Q: For f(x) = x³ – x + 4, compute the - formula for xn+1 in Newton's method. 1 - Xn - Xn +4 - 1 - Xn +…

A:

Q: 0.2 Differentiate In x+1, with respect to x. x²-x+1

A:

Q: (9) F(<) = { —1, if - п <x<0 1, if 0sxп (h) f(x) — f -х, х, -1<x<0 0<x<1 if if

A:

Q: 2) Find FCO), if it exits Punctien f(z) - 2 if x raticnal if x irraticnal

A:

Q: 3) f(x) = x--x- 1; [3] [1, -1: 01.4 5) f(x) = 2x² - 2x -1; 4) f(x) = −x- - x + 1; [2, 1 x-1 6)…

A: Average rate of fx change over interval a,b=fb-fab-a

Q: 1-E-, find x, y from エ+y 4. 3 3.

A: given two matrices are equal. that means, Both matrices have same order, and the corresponding…

Q: Find the critical numbers for h(x)=x^2-x^4. Show all work.

A: The objective of the question is determine all the critical point of the given function.

Q: Find the derivative. 4х — 3 y = 7x + 9 7(4г — 3) — 4(7а +9) (7ӕ + 9)2 4(7ӕ + 9) + 7(4 — 3) (7а + 9)?…

A: We have to find the derivative

Q: 5. Compute Jo Jitvx 1 dx -2

A:

Q: 3. One of the methods used to eliminate arbitrary constant is by isolation of arbitrary constant and…

A: Here, to write the other method to find the arbitrary constant of the differential equation.

Q: 21. Discuss the continuity of: for for 0sx 2

A:

Q: у" - In x

A: Given: y''=lnx

Q: Sec-S 2 1 TanOLO

A:

Q: Prove: cosh 3x = 4 cosh° x x-3cosh.x

A: Prove that :- cosh 3x=4cosh3 x-3cosh x

Q: Suppose that f(2, 3,1) = 5, fz(2,3,1) = 2, fy(2,3,1) = 3 and f.(2, 3,1) = -1. %3D Then f(1.9, 3.3,…

A:

Q: 1. f(x) = x² – 4x + 1 at point (0,1) 2. f(x) = x³ + 2 at point (1,3) 3. f(x) = 2x* + 3x³ – 2x + 7 at…

A: Given : The functions and the points.

Q: Determine all critical points for the function. 3 12x 2 Ox= -2 Ox=-2, x = 0. and x = 2 Ox= 2 Ox= -2…

A:

Q: 29- For uhat values of a and b is ax+2b x+3a-b くXS2 3X-5 Continuous at every X

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Suppose (-8, 6) is a critical point of a function f with continuous second derivatives. If fra (-8,…

A:

Q: The sum of all the critical numbers of the function f(x) = x4 - 10x2 is what

A: Given function is fx=x4-10x2 To find the critical points we differentiate the given function with…

Q: 6(2tanx - x^4 + 4lnx)^1/4(2sec^2x - 4x^3 +4/x)dx. Hint: let u = 2 tanx - x^4 + 4lnx

A:

Q: 2. What are the critical numbers of the function: f(x)=(x² - 4) A. X=0, x=2 and x =-2 В. X30 only С.

A:

Q: The first derivative of the power series 3x2 3x f(x) = 3 1! 3x3 3x4 325 %3D - 2! 3! 4! 5! • is

A: Formulae: 1. e-x = 1-x/1! +x2/2! - x3/3! +x4/4!- ....... 2. d/dx{ e-x} = - e-x   Answer: f'(x)= f(x)

Q: The set of critical numbers of f(x) =x³ - -x²+1 , are 2 A O {0,3} {-/3,/3} .BO .CO {3,3-} .DO {0.1}

A:

Q: Verify mean value theorem for ƒ(x)=x' – 5x+6 over the interval [1,3].

A: Please refer to the image below

Q: Suppose (1,1) is a critical point of a function f with continuous second derivatives. In each case,…

A:

Q: 14 12 oF 6- 4. -6 -6 -6 -7- -10 -12- -14 -15+ Which is the most accurate table for the derivative…

A:

Q: find all the critical values (if any) of y=x square-root (x-2)(1-x)

A: We have to find all the critical values of y=xx-21-x.

Q: If 5х + 3,х <2 { h(x) = 2x2 + 5,2 < x < 4 Is h(x) continuous at (x=2)?

A: We use definition of contunity

Q: 7. Find the first 2 iterations for the root of f(x) = x- cosx by the Secant method on [0,1.

A:

Q: Prove LHS is equal to RHS: 8-(4x-5)=x-7

A: Given:

Q: hraj h(x) = 3x-2 x347

A:

Q: 29 - For uhat values of a and b is ax+2b x+3a- b くXS2 3X-5 Continuous at every X ?

A:

Q: sech2(In x)

A:

Q: eturns ABC XYZ 0.2515 -0.22 55 0.4322 -0.28 45 -0.14 33 0.3144 -0.0645 -0.51 14 0.33 78 0.5534 0.68…

A: Covariance and correlation are two important concepts in financial analysis.