(6) Let f(a), g(n) € Pla] where f(a) is irreducible.

Q: Let f(x) = {ax² (2x + b differentiable (a) 1 at x = 1. x ≤ 1 x>1 (b)-1 . Find a so that f is (c) 2…

A: Here is the solution:

Q: If f(a) = 7 and f(b) = 0, then there exists a number c in the interval (a, b) such that f'(c) 7 a –…

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Q: Is f(x)=2x+4 reducible over Z ニ

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Q: a) Differentiate the function Q(p) = -2³√/p³ (²-P). b) Hence or otherwise, determine Q'(1).

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Q: = + (-x² + xy 7) =

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Q: A 1. What is (go f)(x) if f(x) = 2x + 3 and g(x) = ? %3D O (go )(z) = + %3D O (go f)(x) = + } %3D O…

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Q: The law of cosines. Prove this generalization of Pythagoras' theorem (see Figure 2.7): || X - Y||² =…

A: As per Bartleby answering guidelines when multiple questions are posted in single picture then the…

Q: Use the table to determine Df(g(x)) at x = 3. |1 2 f(x) 1 3 4 3 2 f(x) 3 -5 1 4 g(x) 2 4. 4 1 3…

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Q: A = 0 0 0 1 1 1 0 01

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Q: Prove that Var(E(Y|X)) ≤ Var(Y)

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Q: -2 Suppose f(x) = f(x) dx Evaluate: A - In (2) B - 4 3 16 D In (2)

A: Solution... Answer is.  Option..(B)

Q: Use the table to determine Df(g(x))) at x = 3. |1 2 3 4 f(x) 1 f(x) |3 -5 1 4 4 1 3 4 3 2 g(x) 2…

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Q: 2. ( images. (a) f({0, 1, 2}) Let f: Z→ R, with f(n) = 4-n². Find the following direct and inverse…

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Q: Suppose that f'(t)-29 (b)31 (e)none of these

A: Given: Suppose that f'(t)<3 for all t in R and f(3)=1. To find: f(-7)  Lagrange’s mean value…

Q: a) f(x,y) = x³ + y³ + y(3x²y+ 3ry²) b) f(x,y) = x² + iy³

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Q: Let f (x) = 2x + 3. Compute R6 and L6 over [0, 3].

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Q: How many functions f:R→R  exists such that : 2f(x)+2f(y)=f(x+y)+f(x−y)+2y holds for all real x and…

A: By choosing x=y=0. Also by choosing x=y we can see f(2x)=4f(x).  Moreover choose x=0 and use f(0)=0,…

Q: O Deltarentiatk with respect () Singe (X+1) (x-)

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Q: Suppose f: R → R is a function defined by f(x) = x³. (a) Find f([-1,1]) and f-¹([0, 8]). (b) Show…

A: We shall use the intermediate value theorem to answer this question

Q: Suppose f(x) = f(x) dr Evaluate: A - In (:) 5 B) 36 In D

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Q: Let Calculate f(x) = ² Σ K=O k f(K) 2 k! where K=0,1₁.. X>0

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Q: 3. Let f(x) = { ,x<2 ax + b, x22 Find a and b so that f (2) exists.

A: To find the value of a and b

Q: 1. Determine whether each of these functions is O(x). a) f (x) = 10 b) f (x) = 3x+7 c) f (x) =…

A: As per the policy, we are solving three parts. Please repost it and specify which part is to be…

Q: 5) Find functions f and g so that f • g = H -3 H(x) = Vх — 2

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