Problem 5: Find the value of c that satisfies the conclusion of the Mean Value Theorem for f(x)= x³ - 4x² + 3 on n [0, 4].

Q: Suppose that j(x) = h¯¹ (x) and that both j and h are defined for all values of x. Let h(6) = 4 and…

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Q: if 4x Suppose that g(x) = {ax + b xS-1 if - 1<x < 2 if x2 2 Find the value of a and b such that g(x)…

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Q: 4. Use rule of inference to show that if Vx(P9x) → (Q(x) ^ S(x))) and Vx(P(x) ^ R(x)) are true, then…

A: Given: Lets determine∀xPx→Qx∧Sx and ∀xPx∧Rx is true and ∀xRx∧Sx is true using rule of interference.

Q: The function given by ƒ(x) = (x² −3)³ has exactly one positive critical number. What is that…

A: Given query is to find the critical point.

Q: If and f((x)=  3x-A x-3 and (9) = 0, what is the value of A? A = Where is f not defined? x =

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Q: 2 is > 2 of x, the

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Q: Explain why P(F|X)=P(X|F)P(F)/P(X) is another way of stating Bayes theorem

A: We have prove that equation given in question is similar to Bayes theorom

Q: Use the functions f (x) = 4x + 1, g (x) = 2x2 h(x) = -x² + 3x – 19 and for questions 18 - 20. бх,…

A: We have to  find

Q: 1. Give the definition of each of the following (a) Z+ (b) F (Z+, R) (c) ▲ (f)(x) (d) x (3) (e)…

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Q: Suppose f and g are two functions with nonnegative values. If f(n) is (n) and g(n) is (n³/2), then…

A: We have given that , f and g are two functions with non - negative values. If fn is θn. Also , gn is…

Q: Suppose that f(x) 1 and g(x) = x +3 Find the following composite function and the domain of it. (a)…

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Q: 4. If the function f(x) is defined by f(x) =-6 then which of the following is the value of f(10)?…

A: We solve using substitution

Q: Suppose f(x) = – x + 1. Compute each of the following.

A: Given,           fx=-x+1

Q: What is the smallest integer a where f(x)=2x is always greater than g(x)=x2 for all x>a?

A: Given  : f(x) = 2x is always greater than g(x)=x2 for all x &gt; a  Implise that :  2x &gt; x2