What is the leading coefficient of f(x) = x^2 + 4x^3 +1? O A. 1 O B. 2 O c. 3 O D.4

Q: Factorize the polynomial f(x) =x^4−2x^3+x^2−2x as much as possible (explain each step), then find…

A: Given: fx=x4-2x3+x2-2x The aim is to factorise the polynomial and find its sign depending on x.

Q: Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)

A: Given,

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: 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: Find all inflection points of ?(?) = ?(? − 4)^(3).

A: points of inflection can be calculated by finding out double derivative of function and put it equal…

Q: Evaluate S (2x+3) dx x² (x²+1)

A:

Q: Differentiate. f(x) = (x 2 - 2x + 4)ex O ex(x² + 2) O ex(x² + 4x + 2) 3 +x+4 O ex(2x - 2)

A: Given the function fx=x2-2x+4ex

Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

A: Given Integral: ∫4x+53x+2x+3dx   To find: Evaluate the given function. Formula used: i) Partial…

Q: Find f(-2) for f(x)=3x/x^2-2x-8

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Q: lim (Vx2 + x (v. – x

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Q: yo(x) = −2+ 4e²x² 5. yo(x) = 2 + 4e²x² (iii) For the particular solution yo in (ii), find the value…

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Q: x/2(2x + 7)* (3x² + 1)? Differentiate y = In

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Q: If f(x) = 3x- x^2+2, find the value of: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f(3/2)

A: Given: fx=3x-x2+2 To find: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f32

Q: Evaluate d (2 – 1) (z + 7)] | da O 3x^2 + 14x + 1 3x^2 14x + 1 O 3x^2 - 14x - 1 3x^2 + 14x - 1

A:

Q: Use the table below to fill in the missing values. f(3)=  if f(x)=1, then x= f^−1(2)= if…

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Q: In evaluating the in tegral - the correct Substitulien leads to a new in tagral f(u)du for an…

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

A: The solution is given below:

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Q: What function is y = x^3 + 2x + 1? O A. Cube Root Function O B. Polynomial Function O C. Inverse…

A: A function of the form f(x) = anxn + an−1xn−1 + . . . + a2x2 + a1x + a0 is said polynomial function.…