e +1 Differentiate the function f(x)= In 5x +1 Se+1 3ex+1 Sesz e3x +1 ,5x +1 e 3e3z Sesz e3x +1 5x +1 es +1 e3 +1 3x e 3x +1 e +1

Q: 3 Given f(x) = and g(x) =. The domain of (fog)(x) is: %3D 1+x A) (-0o, 00)- {-4,-1,2}. B) (-00, 00)…

A:

Q: (x+1)+-y² Suppose g(x, y) = {(x+1)++y² ' (-1, if (x, y) + (0,1) if (x, y) = (0,1) Find g,(0,1) and…

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: Marginal Productivity A manufacturer estimates that pro- duction (in hundreds of units) is a…

A: The equation which models the production as function of units of labor and capital used is given by,…

Q: Consider the following function. f(x, y) = xy - 4x - 4y - x2 - y2 Find the following derivatives.…

A:

Q: 2-y'-1 x-1 3 If f(x, y) = ,x + 1 ,x = 1 then f, (1,0) – 2f:(1,0) = x3 -y3 -1 If f(x, y) , X 7 1 x-1…

A:

Q: 3-26 Differentiate the function. 3. f(x)= 186.5 4. f(x) = 30 5. f(1) = 2 -1 6. F(x) = x* 7. f(x) =…

A: Solution:-      Given:-It is a function.       16 y=x x-1       26 y=ex+1+1    To…

Q: f(x) = x^4 + 4x^3 - 7x^2 - 34x - 24    a. Intercepts b. Intervals of Increase / Decrease (table):…

A: We have been given that f(x)=x4+4x3-7x2-34x-24Our aim is to find:-(a) Intercepts(b) Intervals of…

Q: F(x) = x^4/5(x-8)^2 Find the critical numbers of the function Find the values of x in the domain F…

A: F(x) = x^4/5(x-8)^2 Find the critical numbers of the function Find the values of x in the domain F…

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: 1 g(x): %D х2 — 2 f(x) = VIx| – 2 %3D - 1 1 g(f(x)) = |x| – 4 2 |x|– 2 – 2 (Vix| – 2) – 2 - - Dom…

A: SOLUTION:

Q: 2x-3 x S2 (8x-11, x>2 DISCUSS THE DIFFERENTIABILITY OF THE GIVEN FUNCTION AT x = 2 3. GIVEN: /(x) =…

A:

Q: Find values of x and y such that  fx(x, y) = 0 and fy(x, y) = 0  simultaneously. f(x, y) = ln(x8 +…

A: Answer

Q: eal function f(r) = a2, th Ibe 20. 2+1 (c) f(x) = 3- a=

A:

Q: x-y-1 If f(x, y) = ,x + 1 x-1 3 , x = 1 then f,(1, 0) + 3 fx(1,0) =

A: We have to solve

Q: x2 .What are the critical numbers of the function: f(x)= х-2 A. X=0 and x =2 В. X3D0 only C. X=0 and…

A:

Q: The function f - decreasing on the interval (- 0,-2) u (0,2) (-1,0)U (1, 00) B (- 00,-1)u (0,1) .C…

A: f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on Interval

Q: sgn([-0.2]) + sgn(0.2) = 0 F O * 2.4 y+- 2x3 + If+= xy then , y' Vy x+- FO * 2.1 x-1 + The f (x) =…

A:

Q: Find the absolute extreme values of the function on the interval. f(x) = e x – x, -2sxs2 A. absolute…

A:

Q: Consider the function f(x) = 3x – 2x on the interval [- 3, 3]. Find the average or mean slope of the…

A: We know that the average or mean slope of the function f(x) on the interval a, b = f(b)-f(a)b-a

Q: 33

A: Given information:The given function is

Q: Function h is graphed. 4+ h 3- 1 -4 -3 -2 -1 1 2 3 4 -1- -2- -3 Find h(x) dx. h(x) dx = %3D నా ఈ 2)

A: Integration Question

Q: fi (x, -x)4 fi (x,-x)3 f;(x,-x)2 f; X; Xi fi Class 8925.31 1373.13- 211.25 10 0-3 156.25 62.5- 25 24…

A: Given

Q: 3) (a) Find the critical points of the function f(x) = 3x² – 6x. (b) Apply Rolle's theorem for the…

A:

Q: Find the value of the derivative at each relative extremum shown

A: We have to find derivative at each relative extremum as in shown in figure.

Q: 2.2. DERIVATIVES 23 23. If f and g are two functions for which f' = g and g = f for all r, then…

A: We need to prove that : f2-g2 is constant This can be proved as follows:

Q: 5. The Second Derivative Test for Local Maxima and Minima (Section 4.4) says: a. f has a local…

A: (a) The objective is to show that  f has a local maximum at x=c if f'(c)=0 and f''(c)<0 Let…

Q: 8. Analyze and sketch a graph of the function f(x) = 20-4). x2-1. (8 %3D 12x The first derivative of…

A:

Q: 15-17 Find the local maximum and minimum values of f using both the First and Second Derivative…

A:

Q: Find the linearization of the function f(x)=13x+2 at x=−1. L(x)= x The exact value f(x) The…

A:

Q: Consider the function f(x) = 5x - 4x on the interval - 4, 4. Find the average or mean slope of the…

A: Given: f(x) = 5x3-4x on the interval [-4, 4] Average or mean slope of a function f(x) over the…

Q: lim h→0 function h f(x) = x² + x +1 O A) 0 O D) -10 B) HİC O E) 5 ) C) 10 [ax+3 1<x<2 continuous…

A:

Q: f:[0,1] -> [0,1] such that f(x)=x^2 has two fixed points. Is this true?

A: Given that f:[0,1] to [0,1].

Q: 15. Domain (x : x 2 0}: ƒ-'(x) = Vi - x² ; domain {x : x < 0}: f-'(x) = - y=f-(x) 1.5 y=f(x) 0.5 2

A: Consider the given function f-1x=1-x2x So, the function f-1x is defined if  x≠0  and 1-x2≥0⇒x2≤1⇒x∈[…

Q: Marginal Revenue The demand function for a certain boat company's 34 ft Sundancer yacht is p 900…

A: Consider the given demand function where x and p are the number of yachts and price per yacht…

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: (a) Two function f(x) and g(x) are called orthogonal in the interval [ab] if they satisfy the…

A:

Q: Effect of Capital and Labor on Productivity The production of a South American country is given by…

A:

Q: 3. f(x) = --x- 1) + 2 4. f(x) : :--x+1- 5 Starting Pt: Inc or Dec: Starting Pt: Inc or Dec: Domain:…

A: Solution is here

Q: 15-17 Find the local maximum and minimum values of f using both the First and Second Derivative…

A: According to the guidelines, since there are more than 1 question, only one will be answered. Kindly…

Q: V. HIGHER DERIVATIVES AND CHAIN RULE (1+t)² 1. x = 2. y = x²(x – 1)°(2x – 5)² 3. f (x) = /1+ v1 – x…

A: second derivative

Q: Real limits X f (f/N) Cf 90-99 3 0.12 25 5, 88, 93, 53, 7, 58, 72, 94, 79.5-89.5 80-89 9 0.36 22 4,…

A:

Q: 5. f(x) = -V-(x - ) – 3 6. f(x) = -3(x+ 2) – 3 Starting Pt: Inc or Dec: Starting Pt: Inc or Dec:…

A: Range and domain of functions

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: B 1. f(x)= (-2x, xS-2 a. (-o, -1), [-1, ∞) -x² -1,x>-2 2. f(x)=- 2x-4 b. (-0, 2), [2, ) 3. f(x)=…

A: GivenMatch each function in column A with its corresponding interval in column B. Write the letter…

Q: Determine all critical points for the function. y = 3x2 - 96-Jx Select one: A.x = 0, x = 4, and x =…

A:

Q: A first order nonlinear system is described by the equation ẋ = −f(x) where f(x) is a continuous…

A: Introduction: For a system of autonomous differential equation, Lyapunov stability theorem is very…

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:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.