(In 2z - 1) – 25z(In Given the function f(z) = f t In t – tdt then by using the fundamental theorem of calculus f'(z) = Simplify your answer and factorize where possible. Use for powers

Q: Let f(x) = 3x – 1 and g(x) = x- 1. %3D Find (f o g)(-3). Then (f o g)(-3) =- (Simplify your answer.)

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Q: If f(x) = x²-3x-10 x²+4x–45 and g(x) = x+9 %3D , find (f · g)(x) and any domain restrictions for (f…

A: According to question given:f(x)=x2-3x-10x2+4x-45, g(x)=x+9x+6We have to solkve for the f·gx

Q: f(z) = z* – 6z³ + 38z² – 94z + 221 (a) Given that z = 2 + 3i is a root of the equation f(z) = 0, use…

A: Consider the function:

Q: . Determine a such that (x – i) is a factor of f(x)= x² + ax – 6.

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Q: h(x) = (x – 3)² Determine for each r-value whether it is in the domain of h or not. In domain Not in…

A: Given,  hx = x-32  We have to find the  whether 0, 3 and 4 is in the domain of h or not.

Q: A polynomial expression is given. 3z (zy) 21'y Which is an equivalent form of the expression? 3y 3y

A: Explanation of the answer is as follows

Q: Find the 3rd degree interpolating polynomial by Newton's backward formula X f(X) Af(X;) A²f(X;)…

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Q: 4 -2 Find: f (B) where f (x) = x^2 + 2x – 22. f(B) 1 -6 Let B =

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Q: -25 – 5x4 + 5x³ – 11æ² – 21x – 40

A: Given: f(x)=-x5-5x4+5x3-11x2-21x-40 To find: f'(x) and f''(x).

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Q: If f (x) = 3x ^ 4 + 5x ^ 3 + x ^ 2-2 then write f (x) as the product of irreducible terms of Q

A: We have to express f(x) as the product of irreducible terms of Q.

Q: Determine the roots of the function f(x) = (5²x – 6)² – (5²× – 6) – 12. - -

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Q: What happens to this base function that went from  a(x)= x2 to  h(x) = -x2+ 4 and why it happened?

A: The objective of the question is to understand the transformation of the base function a(x) = x^2 to…

Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: 3) Find domain of the following functions х+4 a) f (x) = х2+2х-8

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Q: Prove x²(x-y)² =x² -y²

A: Substitute x=y in the given equation Then x2(x-y)2=0 ....... (1) and x2-y2=0 ....... (2)

Q: If AHIJ & AEFG, which of the following is true? (a) ZH x 2I (b) ZH x ZF (c) JEF| (d) IFG|

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Q: Find the index of 5 relative to each of the primitive roots of 13 (a) 2 (b) 6 (c) 7 (d) 11

A: To find the index of 5 relative to each of the primitive roots of 13. We know that p be prime number…

Q: Evaluate: [8zº · sec² (25) dx =

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Q: 22. Solve the following for all solutions, both real and imaginary. f(x) = 2 x - 17x + 30x -8. Since…

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Q: 08. z, and 22 are the roots of the equation 422 + (1-1)2 + (3+2)=0. Without finding z, and z₂, find:…

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Q: 1 f X~ N(0,0²), then X² ~G (¹2¹2) Prove this statement

A: Given  X~N(0, σ2)

Q: 2 X 2 X 0+ - 4 +4 dx =

A: C+C

Q: What are the roots of the function f(x) = x³ + x² − 7x -3? O 3, 1+√2, 1-√2 O -3,-1+√2, 1-√2 O 1, 3,…

A: Solution :-

Q: For each of the following functions i) f(x) = -2 x²(x² − 9), ii) g(x) = (x + 2)(x − 3)(x² − 4). a)…

A: Given function, fx=-2x2x2-9 To sketch the graph of the function, should use the some important key…

Q: If x > y and a are a negative real number, this always applies

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Q: Calculate the value of n if f(x) = (8 - x)*/3 and 16" = f(16).

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Q: Еxpand a about z = 1 (z+1) (z+ 2)

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