1. Find (a) A + B (b) A+C: (c) 6B: and (d) B+3C

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A: domain of function y=8cosx1-sinx

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A: We need to answer the following using the graph

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A: Given :fx,y,z=x3y8z3+xy3+y6z

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A: To find the arc lenth

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A: Given acceleration vector a( t ) = 6ti + ( 2t + 1 )j - 12k  initial velocity vector v(0) = −4i + 2k…

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Q: a) Find f(-3) if f(0) = 0. b) Find f(-3) if f(4) = 15. c) Find f(-3) if f(-5) = 30.

A: We are asked to find the f(x).

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A: Given a = i + j b = i - k c = i - 7k

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A: A detailed solution is given below.

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A: Given: x + y = 2

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A: Given vector function is  r(t)= {6√2t,e6t,e-6t}  We have to find unit tangent and unit normal…

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A: Given :y=13x2+232

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Q: 10+ 9 8 7 6 5 4 3- 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3- -4 -5 -6 -7 -8 -9 -10+ 1 2 3 4 5 6 7…

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A: A detailed solution is given below.

Q: 22. (D³ + 7D² + 19D + 13)y = 0 ; y = 0, Dy = 2, D²y = −12 when x = 0

A: see below the answer and calculation

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A: Here we have to find the limit of a function.

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Q: Find the inverse transform of the given function of s. F (s) = A B C D E 6s - 49 s2-8s +41 f f (t)…

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Q: Ja Observe the high of the water. Water is being poured at a constant rate into a cylindrical vase.…

A: We need to choose correct option.

Q: 3 Find the area of the surface generated by revolving the curve x = 2 0 ≤ y ≤3, about the y-axis.

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Q: onsider the following vector function. = ( 5t₁, 1/ 12², 1²) r(t) (a) Find the unit tangent and unit…

A: To find  the unit tangent and unit normal and curveture