f(x) = x² = x- and g(x)=x+2

Q: {G) = -2x+5 firid f(2)

A: To find: The value of f1. Given: The function is fx=-2x+54. Calculation: Substitute x=1 in…

Q: Find the critical numbers of the function. f(x) = x3 + 3x2 − 45x

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Q: Find the linear approximation to f(x)=x2+1x−2 near a=3.

A: Given: f(x) = x2 +1x − 2; a = 3

Q: f:R - R S6 – x2 x 2 1 x < 1 fx 4x + 1 x=1, x= -1-

A:

Q: 1. f(x) = 2x+5x-3x+4 B(x) = x-2x-1 f(x) +s(x) =

A: 1. f(x) + g(x) = x5 + 2x3 + 3x2 -3x +3   2.  f(x) - g(x) = -x5 +2x3 + 7x2 - 3x +5

Q: 3. f(x) = ez* – x² – 1 (Xi = 5) ез || -

A: Here we use python to solve this problem.

Q: • Find f" (3) for f (æ) = x³ – 2x4 + æ³ + 2x? – 7x + 3. showing the steps in your process. - -

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Q: If we use the secant method on f(x) = x+x3+3 with X-2 0 and Xn-1 = 1, then Xn is_

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Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

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Q: Find the critical points of f (x) = x³ – 6x².

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Q: f(x) = 32x − 8x2 find the critical numbers of the function.

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Q: Find (fo g)(x). f(x) = 5x - 2, g(x) = – x² + 4x -1 O-5x2 +20x - 7 %3D | -25x2 + 40x - 13 5x +20x -7…

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Q: (c) f(x) = x4 - 1 and g(x) = x4 – x³ – 3x² + 5x – 2 in F(R) -

A: HEre we have to find the GCD of the given polynomIal.

Q: Find the critical numbers of the function. a. f(x) = x³ + 6x2 – 15x

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Q: b- Determine the critical point of the function f(x) = x5 – 5x* + 5x³ –- 1 %3D

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Q: 8. f(x) = 2x +9x + 4 x² -16 a) HA at b) VA at (2x+1)(x+4) (x+4)(x-4)

A: From the given function: fx=2x+1x+4x+4x-4 As we know that for vertical asymptotes , equate…

Q: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.

A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4

Q: find the interverse of the fuction f (x)= 2x + 3/x-4

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Q: Use the intermediate value theorem to show that the equation x + 2x + 1 = 0 has a solution in the…

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Q: Find the linearization of f(x) =2x² + 4x – 3 at x= -1

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Q: the integration of : f(x) = - 2x+4/(x^2+1)(x^2-4).

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Q: 15 f'(x)= 6x° +8x³ - x and the initial condition f (-1)=- 2

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Q: 26) g(x) = x² – 5x; g(x) = 104. Find x. %3D -

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Q: 2. 1. f (x) = x° – 4x – 5 g(x)3Dx5 a) Find(-)æ x + 5

A: Consider the functions

Q: Find the linear approximation of f(x) = x4 + 3x2 at a = 1.

A: We first find f'(a)=f'(1) f(x)=x4+3x2f'(x)=4x3+6xf'(1)=4(1)3+6(1)f'(1)=4+6=10   We now find f(1).…

Q: Find f(x) by solving the initial value problem. f'(x)=3x2+4x-3; f(2)=4

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Q: Maximize f=-x-3y subject to -2x+y = 2 X,y >= 0

A:

Q: find the linearization of f(x)=x^2+4x-4 at x=2

A: Linearization formula, L(x)= f(a)+f'(a)(x-a)

Q: F(x)=e^2x (3x^2-x)

A: see 2nd step

Q: Determine the critical points of f (x) = 5x ^ 2 + 4x.

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Q: Find the critical numbers of the function g(x) = (x2−16)1/2.

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Q: f(x) = e^(-x2+x) yp = e^(-x2)

A: Y = CF +PI

Q: find the critical value of F(x)= 10x^2 + 12x +5

A: The objective is to find critical value of F(x).

Q: I need help with number 21

A:

Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

A:

Q: Analyze the critical points of f (x) = x3 − 27x − 20.

A: Critical points of a function at which f'(x)=0 or f(x) is not defined.  f(x)=x3-27x-20 f'(x)=3x2-27…

Q: - I5 § Continuous xa2 X2ス X=2 Xくス -2X

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:

A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: 0, xS3 F(x) = -k x2 3

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

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Q: f(x)=x^4-x^3-12x^2

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Q: Find / fx) + 3g(x)ldx if |F()dx = 5 and / g(x)dx = -9- -2 f(x) + 3g(x)]dx = i -2

A: We can find the answer as below.

Q: The fixed-points of f(x) = (x² + 2) a and

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Q: Find the attractive fixed point of g(x) = 4x - x2 4 | 2

A: Fixed point: The point of intersection of y=f(x) and line y=x are known as fixed points: Example:…

Q: Find f by solving the initial-value problem. f'(x) = 9x2 + 2x – 4; f(2) = 2 - f(x) %3D

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Q: a) f(x) =(5x + 3)(7x² - 2) using the product rule b) f(x) = (3x? - 5) using the chain rule c) f(x) =…

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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.