Find the length of the curve correct to four decimal places. (Use a calculator or computer to approximate the integral.) r(t) = (cos(nt), 2t, sin(2mt)), from (1, 0, 0) to (1, 12, 0)

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A: Refer to explanation block Explanation:

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Q: Calculus I May I please have the definition and a picture of a One sided limit? Thank you

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Q: 2) Show that: cos (0) sin (0) – sin B (6)) (*) = ( cos( 2 ||7p|| cos (0 - a) -|||| sin (0-a), -as))

A: PROOF IS MENTIONED CLEARLY IN THE EXPLANATION BOX.Explanation:

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Q: Calculus I May I please have the blanks filled in, along with a picture of the Intermediate Value…

A: F(c)= kExplanation:Step 1: Step 2: f(x) is continuous in [a,b].

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A: Given:indefinite integral To find:Evaluate the integral

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Q: Sketch a graph of f.

A: graph the given function

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Q: 3) What does the matrix (_co cos (0) – sin (0) sin (0) cos (0) represent?

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Q: 3. Recall that a rational number r € Q is a number of the form r = where a, b € Z, b + 0. Decide…

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Q: x-1 6)/2=0²+5² x² - 4x + 5 (1) (k) / zeaz² +b dz dx (i) (2x² – 5) sin x da (1) √²×² = √16x² dx

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Q: Determine the convergence or divergence of the series.

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Q: velocity (feet/sec) 30 20 10 10 20 30 time (seconds)

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Q: 7. Give three reasons why a function might not be differentiable at a particular value of x.

A: we will give three reasons why a function might not be differentiable at a particular value of 'x'.

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Q: 5 Let f(x) = 4 + 12 cos(7x) and g(x) = 6+3x a. Find the composite function f(g(x)) and give its…

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