dx The integral can be re- 1-x A lim (-1+ 2 V1–m ) - 00 B lim (2 – 2 V1-m ) 1–m ) m -- 00 lim (- 2 + 2 y1-m )

Q: Assume SSE(b)=(8-4*b)^2+(10-3*b)^2 +(7-8*b)^2  . Find the value of b that will minimize this…

A:

Q: Consider the function y = (1x + 1)x. (a) Differentiate y by the product rule. (b) First, multiply…

A: (a) Differentiate y by the product rule as follows: dydx=ddxx+1x      =ddxx+1x+ddxxx+1      =1·…

Q: 1. Express the polynomial f(x) = 4x3 – 5x2 + 2x – 3 as a power of x + 2.

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Q: Find the domain of f(x)= 7/4-2x

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Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: f(x) = x^3 - 9x^2 - 45x - 27. Find the remaining zeros given that -3 is a zero of f(x). O (-3, -6 +…

A: Given f(x) = x3 - 9x2 - 45x - 27

Q: = x? – 5x + 7 has roots a and B. Use symmetric Suppose that f(x) functions to find a + B, aß, a² +…

A: If we have a quadratic equation ax2+bx+c=0 and α and β are the roots then: α+β=-ba αβ=ca We can use…

Q: List all the possible rational roots of 4x* – 2x³ – 6x² + 22x – 15 =0.

A: To find all the possible rational roots

Q: Use synthetic division to find 1"(-1) and f"(-1) where f(x)= 3x'-8x + 5x-2x' + 5x +13

A: To find the f'''-1 and f4-1 Given that the  fx=3x7-8x6+5x4-2x3+5x+13 f'x=21x6-48x5+20x3-6x2+5…

Q: Give the domain for t(x)= x+1/x2-3x-18

A: Given function is,

Q: Given f(x)= x^3 − 6x^2+9x, find the multiplicity of the zero at x = 3

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Q: find a so that the domain of the function f(x) = -5x +sqrt{a-x^2} is (-3,3) a. 3 b. 9 c. -9 d.…

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Q: 8. Describe the domain for h(x) = √70-9x - x²

A: To describe the domain for .

Q: If fis a polynomial and f (z) = i, thenf(2) = i True B) False

A:

Q: lim (4x2 + 2x + 5) = 5x→0

A: We will plug x=0 in place of x

Q: A graph of y=f(x) is shown, where f(x)=2x^5-3x^4+x^3-8x^2+5x+3 and f(-x)= -2x^5-3x^4-x^3-8x^2-5x+3.…

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Q: Given the function h, find functions f and g such that h(x) = (go f)(x). h(x) = (6+ 4x)" a. f(x) =…

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Q: Show that the product rule works for the case f (x) = x2, g (x) = x3.

A: Given that, fx=x2gx=x3 We have to show that the product rule works for the case of given functions.

Q: Sketch a higher degree polynomial with the following roots: -2, 3, -3, 6. f(x) 9,

A: It is given that the roots are -2, 3, -3 and 6. That is, x+2=0, x-3=0, x+3=0 and x-6=0. The…

Q: dx (4x²+1)* 2.

A: The given integral is:  ∫84x^2+1dx Consider, x=12tanθ On differentiating both sides. dx=12sec2θ dθ…

Q: [22] Express the function as a product by factoring the right-hand side: f(x)= x' +x² – 4.x - 4.

A: We have to express the given function as a product by factoring the right hand side: fx=x3+x2-4x-4…

Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

A:

Q: lim 3X=12x→4

A: We can show this by substitution  We plug x=4

Q: Suppose thatf(x) = (x+ 5)^3(x-2)^4. Find the x-coordinates of all points of inflection

A: To find- x-coordinates  of all points of inflection.