Which of the following statements are true? Select all correct answers. The Tylor series of a function is equal to the function itself. tan x is analytic at . ☐ (x²+3x-1) cos(x²) is analytic at O. arctan x is analytic at O. If lim Rn = 0, then the function f(x) = S(x). 0042

Q: 0.3 77. Prove that 0.0198 < sin x dx < 0.0296. Hint: Show that 0.198 < sin x < 0.296 for x in [0.2,…

A: To prove the below inequality statement for x in [0.2, 0.3]

Q: 1. Find all the values of a, b e R such that the function sin (3x) ax is continuous. if x > 0 if x =…

A:

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A: To determine the value of sin t, cos t and tan t.

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A:

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A:

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A:

Q: Suppose that a, b>0. sin(a · x) eb-x ? What are the horizontal and vertical asymptotes of f(x)=- X -…

A: we have to find the horizontal and vertical asymptotes of the equations  f(x)=sin(ax)x+ebxx-2

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A: When f'&gt;0 then function increasing When f'&lt;0 then function decreasing

Q: if f(x)= 5 sin to the negative one power ( x to the thrid power) then what is f prime of x

A: The objective of the question is to find the derivative of the function f(x) = 5sin^(-1)(x^3). This…

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A:

Q: Which of the following is equivalent to ex. ex tex -e e X - ex e-x +ex -X e te ex. e -X -X e-x +ex…

A: Solving the problem by simplify the given expression.

Q: Fill dotted lines. Show that |sin(x) − cos(x)| ≤ sqrt(2) for all x. Let f (x) = sin(x) − cos(x) on…

A: Please find the answer.

Q: If a field K is algebraically closed, then every polynomiel with co efficients in k has a root in K.…

A: A field K is said to be algebraically closed if every polynomial with coefficients in K has a root…

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