Differentiate. f(x) = In (4x + 1)(x+7)³ (1 - 6x)5

Q: Find the zeros of f(X) = X^3– 5X^2– 4X + 20

A: Given function , fx=x3-5x2-4x+20

Q: differentiate y =[(3x2 + 2x + 2)(x - 2)]2

A: The differentiation of nested functions can be calculated by using the formula ddxfgx=f'gxg'x  . And…

Q: Given f(x) = 7x and g(x) = 7x^2+9a. (f of g)(4) b. (g of f)(2) c. (f of f)(1) d. ( g of g)(0)

A: To evaluate the composite functions at given points

Q: Given f(x) = 4x + 8 and g(x) = x^2 + x; find (f∘g)(-5

A:

Q: Express as a polynomial. (4x - 3y)(x - 5y)

A: Given: (4x - 3y)(x - 5y)

Q: Find the quotient of (x/2 - 2/x) and (1 - x2/4). What are the restrictions on the variable?

A: We have to find the quotient of the given two expression.

Q: P(x)= x^3 — 9x^2+ 11x+ 21; -1 The other zeros are x=

A:

Q: (x)=x^2+2x-8, and 3x-6 Preform the indicated operation. (Simplify as far as possible.) (f

A: We know if f and g are continuous function then we can write (f+g)(x)=f(x)+g(x) Here f(x)=2x+8…

Q: express f(x) =x³+2x²-x-3 , in term of lagendre polynomial

A: To express the given function f(x)=x3 +2x2 -x-3 in terms of Lagendre polynomial.

Q: f³ (x) for Find g3 – 5x2 + x = f (x) -

A: Here, the given function is: f(x)=x3-5x2+x

Q: Show that x² – 4 is a factor of x* - 5x³ + 2x? + 20x – 24.

A:

Q: Gives that f(x) 5x^3-54x^2+170x-104. And that 5+i is a zero, factor f(x) completely.

A: If 5+i is a zero then (5-i) is also a zero.

Q: write f(x)=-2^2+6x+6 in form f(x)=a(x-h)^2+k

A: That's easy. Have a great day!!!

Q: d.

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Q: ctor f(x) = 2x6 + 2x5 – 8x* – 4x³ + 10x² + 2x – 4 %3D

A:

Q: The polynomial p(x) = - 2x ^ 3 + 3x + 4 is given. Which conclusion is valid if p(1) = 5

A: The polynomial given isTo find,valid conclusion if p(1) = 5

Q: -3x(x-3y+7)

A: To solve -3x(x-3y+7)

Q: If f(3x)=4x+1 , determine f(7x)

A: f(3x)=4x+1

Q: (x) = - 4x2 + 2

A: We will find out the required values.

Q: 6) Find Possible Positive, Negative or Imaginary Zeros. f(x) = x* + 4x³ + 3x² - 4x - 4 %3D Count the…

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Q: Let r(x) = 8x - 5 7x +9 x) = (-5x-5)/(7x-8) Find and simplify

A: Given query is to find inverse t.

Q: var (-2x+4) = 16,

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Q: Evaluate * 8x3-4x²-6x-9 dx 2x-3

A: It is required to evaluate ∫8x3-4x2-6x-92x-3dx The integrand 8x3-4x2-6x-92x-3 can be simplified to…