Use the figure below to estimate (f o g)(2). 8(x) y f(x)

Q: Let f (x) = x3 – 3x2 – 1, x 2 2. Find the value of df-1 at the point x = -1 = f (3). dx -

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Q: Approximate V128 by linearizing f(x) = VI about a = 125 . What is the result?

A: Given: 1283

Q: What is the range of the function f(x) = 23 sin 4z+1 ? A) (0, 0) в [금, 16] C [금, 4] D [2, 0)

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Q: 3) Let f(x) represent the path of a particle. x* 1 f(x) =+ x 2 1 16 2x2 Suppose the particle starts…

A: The arc length = the distance covered along the curved path f(x).  A = the arc length  A =…

Q: 2z et f(æ) = 4(). Which is equal to f(1)? %3D Select the correct answer below:

A: Given:fx=4132xf1=?

Q: 2. (a) Define what it means by for y = f(x). %3D

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Q: The Range of y = [2x + 1] is Z, T O F

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: Find the absolute extremum values of f(x) = xe² xez-2x² 3 on the interval [0, 1]. (Note: ez ≈ 0.22)

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Q: Find the direction in which the function is increasing most rapidly at the point Po. f(x.y) = xy? -…

A: Given,     f(x,y)=xy2-yx2

Q: given f(x,y)=ex^3 . y^8-x8y3 ,show that fxy=fyx

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Q: c. Estimate -dx using the midpoint rule with n=4

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Q: Suppose f(x,y)=10x2y, 0<y<x<1,   a) What is E(X) & E(X^2)?

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Q: a³ f By definition, fray xxy dxdxðy Higher Verinetiues. True False

A: It is false.

Q: 15 Use the figure below to estimate f(x)dx. -10

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Q: (e) For wi at numbers x, - 2SXS 2n, does f(x) = 4? Where does f(x) = -4? f(X) = 4 for x =

A: The given function is: f(x) = 4sin(x) In the interval -2π≤x≤2π

Q: 02.Find all the maxima value of f(x, y) = 49 – x2 - y?, on the line x +3y = 10 %3D

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Q: Use the EVT to find the maximum and minimum values of the function f(x, y) = e4a-5 yʻ on the disc x²…

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Q: Consider f(x) = 3|x|, which is in R[-2, 2]. %3D b. Use the function F(x) to find ſ², f.

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Q: Differentiate the expression with respect to x, assuming that y = f (x). ey/x

A: Given, y=eyx

Q: Assuming F(r) = f(g(x)) and G(r) = g(f(x)), use the table to compute the following quantities: %3D

A: Solution Given Consider the table below Assuming F(x)=f(g(x)) and G(x)= g(f(x)) We need to compute…

Q: find the specific function values. ƒ(x, y, z) = sqrt(49 - x2 - y2 - z2) a. ƒ(0, 0, 0) b. ƒ(-1, 2, 3)

A: a) Plug x=0, y=0 and z=0 in the given function and simplify. Answer(a): 7

Q: The main part of a trumpet has a shape given by rotating the function f(x)=1+x3/1000 about the…

A: The main part of a trumpet has a shape given by rotating the function f(x)=1+x31000 about the x-axis…

Q: Below is a graph of y = f(x): 1 -1 -2 -3 1 2 3 45 67 8 Use this to compute 2. | f(x)dx

A: Alternative methods to find the value of he integration of f(x) in the given interval is area under…

Q: of af For the function f(x.y)= 7x-9y- 3, find and dy

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Q: For what values of  r does the function satisfy the y =  e rxequation  y"  + 6 y'   + 8y  =0?

A: Given function y=erx To find value of r which satisfy the equation y"+6y'+8y=0 Solution:…

Q: (a) Define what it means by for y = f(x). %3D

A: In this question we have to define the meaning of dydx for y=fx

Q: 2. Find the Maclaurik a. f(x) = 2. la f ....

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Q: As a → 1 what happens to the value of f f(x)dx?

A: As a →1 what happens to the value of ∫1af(x)dx.

Q: Find for the given function. w= 10z2 e?

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Q: For the function f(x,y) = e9xy, find fx and fy. fx = ? fy = ?

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Q: 40 Use the table to estimate f(x)d=

A: Given,     x 0 10 20 30 40 f(x) 330 410 430 460 490 To estimate :              ∫040f(x)dx=?

Q: 2. Given the function f(x) = sinx and g(x) = x*, find the value of g(f

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

Q: et f (г) — 5ӕ? — 2 — 7. Find f(x+h)-f(x) h in simplest form. - -

A: I am attaching image so that you understand each and every step.

Q: Consider the function for x +0 f(x) 1 for x = 0. (a) Would you expect f(x) dx to be defined? Explain…

A: we are given f(x)=1x,x≠01 , x=0 Now, we have :∫-11f(x) dx Now. ∫f(x)=log x, x≠0x , x=0 Now log x is…

Q: 2u Given f (u): =,u = g(x) = 10x? +x+ 1.find the value of (f • g)' at x = 0 u2+1

A: Please refer the attached image for complete solution.

Q: Find the value of c guranteed by the Intermediate Value Theorem ( explain why is is guranteed).

A: Given:

Q: Find the local extreme values of the function: f(x,y) = x² + y? - 6y + 5

A: We need to find the local extreme values of the function f(x, y)=x2+y2-6y+5. Here,      ∂f∂x=2x…

Q: Let f(x) = x² – 4x – 5, x > 2. Find the value of df-1/dx at the point x = 0 = f(5).

A: (f-1(x))' = df-1dx = 1f'(f-1(x))

Q: The Range (Ry) of y = v9 – x² is : - a. [0.] b. (0,3) C. [0,3] d. (0,9)

A: Given that y=√(9-x^2) To find The domain of y.

Q: For f(t)= 0, cost, 0≤t<π/2 ΙΣπ|2 use the definition to find L{f(t)}

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Q: 14. Given the function f (x) = x² + Vx, calculate (f-1)'(18). %3|

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Q: Let f(x) = 8x – 15x2 – 3, x2 1.5. Find the value of df -1 at the point x =1185= f(6). dx

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Q: Q2\Find T.E of the function f (x) = e2x when a =2?

A: Given that  f(x)=e^(2x) To find teh T.E

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 0 2 0 3 01

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Q: (b) Find the concavity, point of inflection, of f(u) = e (¬) Wheren is 482. Also explain it…

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Q: Q4) f(x, y) = x'/3 – x/ay² is harmonic ? Does the function

A: our objective is to conclude result.

Q: Consider the function f : R² → R equal to f(x1, x2) = ¿xí + 3x + sin(2x1). Is it convex? Motivate…

A: The given function is fx1,x2=12x12+15x22+14sin2x1 The objective is to show whether the function is…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.