4. Does (sin?(x)/cos(x)) - sec(x) = cos (x) ? PROVE IT! Use a simplification table to prove it. Add lines to the table as needed. Expression Rationale (sin?(x)/cos(x)) - sec(x) Original Expression

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A: The solution for the above question is as shown below.

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A: This is the problem of Taylor and Maclaurin series.

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A:

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A: We will use the limit theorems to evaluate the limit as x tends to π.

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A: we have been given the equations to differentiate w.r.t x

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A: Solution: The objective is to find the value of the given expression

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A: We will prove the given result.

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A:

Q: 8 sin 3+ 5/ is equal to The number lim | sin(x) dx E. 5. 8 sin(x)dx 8 | sin(x) dx 3. 0 8 8. sin(x)…

A:

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A: Solve any two

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A:

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A:

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A:

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A: We are given to find the limit of limx→0 tan(8x)sin(5x); and we have to make use of L hospital rule…

Q: 7x cos()-7x [sin(-2x)sin(5x)sin(7x)] – lim 2x cos(x) lim x-0 5x?

A:

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A:

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A: I = ∫ sec h2 (ln x2)x6tan h(ln x2)-tan h2(ln x2)dx=∫ sec h2(2ln x)x6tan h(ln x2)-tan h2(ln x2) dx=∫…

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A:

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A: A detailed solution is given below

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A: We use integration by parts.

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A:

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A: Calculate the approximate value of f(x).

Q: Evaluate the limit.

A:

Q: Show that sin(x)  can be approximated by x-x3/6  within 0.01 on the interval [-1,1].

A:

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A: First we use substitution property of limit, and that's given an undetermined form.Then we use…

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A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

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A:

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A: The given equation is - 6(-10x+1)-8=12(8x+8)+3  We have to solve for x.

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A:

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A:

Q: Use False Position method to Find the root of f(x) = sin(x) - cos (x) . Use a tolerance of 10^-7 if…

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A: Consider the formula as:                         Let:                                   y=sinh-1(x)…

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A:

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A: Given: The approximations . The functions and

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A: Read the following instructions once 1. Short method is provided at the end of the subpart (c)…

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A:

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A: Yes the given statements are correct.Let,f(x) = xx+1f(x) = x+1-1x+1f(x) = x+1-1x+1f(x) =…

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A: To find lim x -> 0    ln(1+x)-x / 1-cosx   = ?

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A:

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A: As per our guidelines we need to solve only 3 questions .please repost the remaining subparts as…

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A: