[x²_9, if X<3 F(x)=√x²-9, X-3 Ex² +10, x>3 and values of & Such that Continuous at x=3

Q: Verify that the factorization for f (x) = x3 + x2 + 1 over Z2

A: Given that, fx=x3+x2+1. Also ℤ2=0, 1 To verify the factorization for fx over ℤ2.

Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: A. f(g(h(2))) B.…

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Q: Find the criticial numbers for f(x) = xlnx

A: Given, The function is f(x) = x lnx

Q: Suppose that f(x)=(x+2)(x-2)^2. (G) Use interval notation to indicate where f(x) is concave down.…

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Q: Show that /I +x 0.

A: Mean value theorem: Let f be a function satisfying the following properties: 1. f is continuous on…

Q: Expand f(2) = z-5)(=-15) in the domain 5 < |2 < 15 .

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Q: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

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Q: Find if f (x) = 3x* – 4x3 has any absolute extreme value/values in (-2,+00).

A: Givenf(x)=3x4-4x3To find Absolute maximum and absolute minimum values.

Q: 5. Differentiate each of the following functions: a) (x+1)³(x-2)4 b) In x+1

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Q: Which of the following is not a possible zero of f(x)=4x^5-2x^3+10? 3,5,5/2,3/2 , why?

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Q: what should n be if f(x) = Xn defineof a polynomial function?

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Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

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Q: Suppose we have two functions f and g defined by f(x) = 2x + 3 and g(x) = x^2 - 3x + 2. Find…

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Q: What is the domain of * f (x) = /25 – x²?

A: Domain of a function is the set of input or argument values for which the function is real and…

Q: Determine which of the following functions are valid PSDS (i) w + 302 + 3 (ii) exp[- (@ – 1)²]

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