If Xo and X, are two numbers with Xp< X, then the true one is None of the above A O F(XO ) F(X1) BO F(X0) = F(X1) .CO F(XO) < F(X1) .D O

Q: Suppose we define a function f(x) by f(x) = a1 sin(x) + a2 sin(2x) +· + an sin(nx), .. for constants…

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Q: consider these 2 functions. if x co if x20 Letx 1-1-49x² g(x) = _ _ x ² + 16 4760 +2 domain of g(x)?…

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Q: Show that the functions f and g are identically equal.

A: Given functions are -  f(x) = sin x . tan x g(x) = sec x - cos x We have to show that f and g both…

Q: Use the figures to evaluate each function given that f(x)=sinx,g(x)=cosx, and h(x)= tan x. g (2α )

A: We have to evaluate g2α From  the second figure x2+y2=1⇒r=1 ⇒x,y=-14,b ⇒x=-14, y=b⇒rsinα=-14,…

Q: 2. If f(g(x)) = sin x + 3sinx - 1, determine possible expressions for f(x) and g(x), where g(x) # x.

A: (1st method/way): Let f(x)=x²+3x-1 and g(x)=sinx Then we can find f(g(x)) as follows…

Q: Show that the extreme values of f(x) = a sin x + bcos x tVa2 + b2. are

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Q: (D² + 1)y = sec x tan x

A: Differential equation

Q: Determine if the following functions are odd, even, or neither. Provide reason. (a) f(x) = x² (b)…

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Q: Let a<b. Use an important theorem to reason that t  | y(b) − y(a) | ≤ 3000(b − a).  The function is…

A: Step:- 1 Mean value Theorem :- Let f be a continuous function on [a, b] and function is…

Q: f(x) = n + cos x at is Select one: a. cos x x+ b. cos x x + C. COS X x+ d. cos x X 一2 万万一2

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Q: Use the figures to evaluate each function given that f(x)=sinx,g(x)=cosx, and h(x)= tan x. g (α /2 )

A: gx=cosx. Since the x-coordinate of any point on the unit circle is the cosine value, therefore…

Q: The figure below is the graph of a sinusoidal function C(x) with midline y = 2 and a maximum value…

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Q: Which of the following could be true if f'(x) = -x O f"(x) = 3 f"(x) = 4x f(x) = -æ O f(x) = -x

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Q: 14. Given f(x)=±, find an expression for: f(x-1)-2

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Q: a. use sum and difference identities to expand and simplify the following b. if g(x) = cos(2x) find…

A: Here we have to use the basic sum and difference Angle formulae of trigonometric ratio

Q: If f(x) = sin x and f(a) = ¬, find the value of f(a) + 9f( – a). If f(x) = sin x and f(a) = 5 find…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.