Supposer FCE, 9cE is algebraic F and dog (a/F) 13 odd. Prove that F(a)= F(a₁²). Hello 127 Over e Uso Tower Law.

Q: Show that f(2) =

A: We will show that derivative does not exist using definition. Then we will use geometry.  Calculate…

Q: Supposer FCE, acE is algebraic F and dog (a/F) 13 odd. Proveo that F(a)= F(a²). over

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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: If f-(a, b) = 0 and fy(a, b) = 0, then Vf(a, b) = 0.

A: Given,           fxa,b=0   and   fya,b=0

Q: Evaluate: L(e* -3t * sinh 7t).

A: Given: Le-3tsinh7t

Q: . Let f(r) = 3r² – 12.r.

A: Given function is : fx=3x2-12x We have to find fh+1 In such case we need to put that inside…

Q: Tapoint on the function, /(x), s(-8,9). state the corresponding point on its inverse (0).

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Q: Simplify the following functions using Boolean algebra and its identities. List the identity used at…

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Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

Q: 1. a) If f(x) = 2x² - 7x+5, evaluate f(2a).5765

A: Given query is to evaluate f(2a).

Q: Pex)=\X+14 aud hex)= x-1 state functions. following domains, of the following 4sing interval…

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Q: Q₂i- If show that utt ч (хо) ut (x,0) - a 9/x). Z 3 u (X, Z) 2 Ux(xt) = a as 1x1_-2 ux 9. 2 u XX…

A: Using D'Alembert solution for one dimensional wave equation.

Q: What is the coefficient ot x" in (x+3) '9? What is the coethicient et x? in the expanson ot lx +2) 4…

A: Binomial theorem expantion

Q: If -5n-2, then f(3) is 04 O 55

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Q: Evaluate the following commutators [Â, B] = ÂB – BÂ. Hint: use an arbitrary function that cancels at…

A: a x,PxPx=-ih∂∂xx,Pxφ=x,-ih∂∂xφ=-ihx∂φ∂x+ih∂∂xxφ=-ihx∂φ∂x+ih∂φ∂x+ihφ=ihφ∴x,Px=ih

Q: 2 For 1 X+ 1 and g(x)=, find b. the domain of fo g a. (fo g)(x): a. (fo g)(x)= (Simplify your…

A: Answer: (fog)(x)=2/(x+2)

Q: II. Identify the main operators in the following statements. 1. (U• -P) > (Q v L) 2. -K = (L v -M)…

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Q: (c) If each fn has a finite number of discontinuities, then f has a finite numberof discontinuities.

A: The given statement is: If each fn has finitely many discontinuities then f has finitely many…

Q: Which of the following is a possible outcome when concat( ) is applied to the strings "calc" and…

A: this question does not need explanation

Q: Express the fact that a function f : X → Y is 1-1 using and quantifiers and other math symbols,…

A: The one-to-one function is a function that maps distinct elements of its domain to distinct elements…

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

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Q: Suppose L(x) = "x is a llama" and E(x) = "x is an emperor." Do the following to statements mean the…

A: Consider the given information:

Q: 106. If f is a function, then f (ax) = af (x).

A: To check whether for any function f the following is true or not fax=afx

Q: Suppose that F(x)=f(g(x)) and g(14)-2, g(14)-5, f(14)-15, and f'(2) - 11. Find F(14). O 17 O 55 O…

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Q: According to boolean algebra x.(1 + y) =?

A: We will use the following 3 rules : (i) Distributive law : a•(b+c) = a•b + a•c  (ii) Identity law :…

Q: (0,-6) (1,-7) ssuming that f(x) is of the form A. Bº, write an xpression for f(x): (x) = 0

A: Given query is to find indicated function.

Q: domain f(x) = V 26 – x Vx – 6 + V 20 – x -

A: See the attachment

Q: 13D 43. If a > 1 and b < 0, then 1-101 (A) (B) 1 9 (a) (D) b(a+1) (E)

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Q: How Find I[c coshak]; kzo Aus 2(2-cosha) 2+c?-2cZ (osha

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Q: Show that it is always true that f(AUB) = f(A) u f(B) and f(ANB) (f(A) AT (B), (@) show by example,…

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Q: 10. Evaluate f(x) = 10-4x for f(3). a) 23 b) 2 c) 22 d) -2

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Q: 5(x+1) =x+1 if x = 1. O True O False

A: By solving this equation we get,

Q: If F = Za[z] (z²–cz+1) find the value of c for which F will be a field? %3D

A: F is field iff x2-cx+1 is irreducible over f.