An object moves along a line where its velocity function is as described by the graph. What is the total distance that it has traveled between [4, 9]? 4 5 O 6 07 v(t) VCD t 10

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A: Take the partial derivatives and  form the integral to get the area.

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A: 25). 31).

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A: We transfer the rectangular coordinate into spherical coordinate.

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A: As per guidelines, we can solve only 3 subparts please repost the other parts.

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Q: a) Resolve 8x²14x + 23 (x 4)(x² + 3) into partial fractions.

A: NOTE : As per our company guidelines we are supposed to solve only 1 question. Kindly re-post other…

Q: 4 cos 8 sin²0-4 (3-sin 8 3+sing (22) S A) In de = sino)+c B) sec ¹(sin 8) + c a2+1 C) In 2-sin…

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Q: Question 15 (a) Find S sin cos 0 3+ sin 8 d0.

A: As per guidelines solving first question,Plz repost other question. Given that     substitute…

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A: we have given

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Q: Let r(t) = (1²,1-1,4t). Calculate the derivative of r(t) a(t) at t = 5 assuming that a(5) = (5,-8,6)…

A: r(t)=&lt;t2,1-t, 4t&gt;a(5)=&lt;5,-8,6&gt;a'(5)=&lt;8,8,3&gt;

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Q: Find the area between the curve of y ਆਗੂਆਂ 2 4 = zæ + 2 and the x-axis on the interval [-2, 1].

A: Given that , Now we want to find the area between the curve and the axis  on the interval .

Q: (c) Hence compute x6(log x)5 dx.

A: From part a we have results

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Q: Hey! I have to diferenciate the function f(x)=2^70. Thus find f’(x), thank you

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A: If the position function is s(t) then the average velocity in the time interval [a,b] is