Find the arc length parameter along the given curve from the point where t= 0 by evaluating the integral s(t) = |v(t) dt. Then find the length of the indicated portion of the curve r(t) = 6cos ti+ 6sin tj+ 4t k, %3D where 0stsT. The arc length parameter along the curve, starting at t=0 is s(t) =

Q: Find A when r=3 and l=8 for A=\pi rl. Use \pi =3.14 and give your answer to three significant…

A: Given that r=3 and l=8 for A=.

Q: Problem 4: A rocket starts from rest at the origin. The rocket accelerates up an inclined plane of…

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Q: two points in the xy plane have cartesian coordinates (2,-4) m and (-3,3) m. determine a) the…

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Q: (c) The angle that F2 makes with the positive x axis is found from tan0 = F2u/F2z = 21/32 0.656.…

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Q: A sphere of radius r has surface area A = 4πr2 and volumeV = (4/3)πr3. If the radius of sphere 2 is…

A: a)The ratio of the areas, A2/A1

Q: In a right triangle, the side adjacent to angle theta has length 3.80 meters and the hypotenuse has…

A: Given Data The length of the base or adjacent to angle theta is given as l = 3.80 m. The length of…

Q: Example 2; find O between A¯and B'? A¯=2î +3j +k , B =3î -2j +K

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Let 11 = 16 3 3 = 4-74-44-64-[2] = 3 If possible, express w as a linear combination of the vectors…

A: We will first write the linear combination with some unknown coefficients. We then solve the…

Q: Suppose i = 31 + 8j – 18k and ū 31 + 3j + k. Compute the following: %3D The cosine of the angle…

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Q: (1.18) Using the vectors a = i cos 0 + j sin 6, Prove the familiar trigonometric identities sin(0 +…

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Q: Using the trig. substitution 2 sin(θ) cos (θ) = sin(2θ), the range expression becomes: Range =…

A: Apply the first kinematic equation in the vertical motion to determine the time to reach the maximum…

Q: Evaluate 7 1 5lnx X dx.

A: Take  u = ln(x)  Then   du = dx/x  Integral become.  ∫5udu=5uln5  =5lnxln5

Q: If a force acts perpendicular to the direction of motion of a body, what is the amount of work done?…

A: C is correct

Q: Evaluate and express in 3 sig figs 1. 12×10⁶/4 2. (3×10⁶)(8×10^-2) / (2×10¹⁷)(6×10⁵) 3.…

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Q: (a) In unit-vector notation, what is the sum of a = (3.2 m )î + (3.7 m )ĵ and b = ( − 12.0 m )i +…

A: The vectors are given as, a→=(3.2 m)i^+(3.7 m)j^b→=(−12.0 m)i^+(8.0 m)j^

Q:  Find derivative of functions:

A: Given function is in the following format, y = f(x) / g(x) Derivative of y can be written as…

Q: Cartesian to Spherical Given a point P = (-2,6, 3) and a vector A = ya, + (x + 2)a, are in Cartesian…

A: Given: A point P=(x,y,z)=(-2,6,3) A vector A⇀=yax^+(x+z)ay^ Calculation: (a) In spherical polar…

Q: Problem 2 Prove the following: (i) " J,(1)] = -1"Jn+1(1)." %3D (ii) 2.J,(r) = J,-1(x) – Jn+1(x). %3D…

A: First three parts are solved.

Q: Find a unit vector parallel to the resultant vectors y, = 12i – 6j + 4k and Y: =- 8i + 3j – 5k.

A: …

Q: Call the starting point (xo, yo) = (0,0). To find (x, y) for the ending point, use triangle trig on…

A: In the given solution we have arrived at a final equation which connects the distance, velocity and…

Q: Consider two vectors A and B as shown in the figure below. The magnitude of these two vectors are: A…

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Q: Convert the Cartesian equation to a polar equation that expresses r in terms of 0. x² + (y + 5}² =…

A: x2 + (y + 5)2 = 25 To find = polar equaiton

Q: dv B (а) = Ar +2, where A and B are constants, v and r are variables. At r = R1, v = dr Vo. At r =…

A: Given dvdr=Ar+Br Where A and B are constant So,…

Q: Write v = (-5, 12) as a product of its magnitude and a unit vec- tor in the direction of v.

A: Given Data: The vector v is given as, v=-5,12   The expression for the unit vector v is,…

Q: If ay can be written as ua +va + wa at the point P(2.94, 309.46 degrees, -2.75), find u+v+w. P Ф Z

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Q: Two points in the xy plane have Cartesian coordinates (6.00, -4.00) m and (-7.00, 7.00) m. (a)…

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Q: Q1/(3) = (.1,) and 5 (.1), then the cross prodaet a x%= (a) it - t) - j(1-t)+(i-P). (b) i(1-1) - j(1…

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Q: Find the angle between the planes x +y = 1 and 2x + y -2z =2

A: x+y=1 comparing it with  A1x+B1y+C1z=d1A1=1, B1=1, C1=0, d1=1 direction ratio of normal=1,1,0…

Q: Evaluate the integral. 5/t +² 2 dt

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Q: (a) Write down the homogeneous differential equation that is used to solve for the charge on the…

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Q: Let u = (-7,3,-5) and 7 = (-1, 1, 0). Compute the following: ū x v- vx u u xu -9 (u × v) = u x (-97)…

A: The objective of the question is to compute the cross product of the given vectors in different…

Q: Given x = 2.80 +- 0.50 , y = 6.50 +- 0.17 , calculate, z = xy z=_____+-_____

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Q: I have 3 angles which together form 90 degrees. What is the average degrees in an angle.

A: If you have three angles which together form 90 degrees, then each angle cannot be greater…

Q: Calculate the magnitude of when A=2, the angle between A and B is = 35° and Ax=5.736.

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Q: a) what is the length of the unknown side, b) the tangent of θ, and c) the sine of φ?

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Q: Problem 3: A 500-kg dragster accelerates from rest to a final speed of 110 m/sec in 400 m (about a…

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Q: Step 1 Rewrite the original integral Therefore, Set دارد) + 16 t (12)2 + 42 (2) ot = (- dt as Step 2…

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Q: Given: A: Az = 43.4, Ay = 35.4 B = 16.3 B: 0B = 39.7° (a) Calculate the x-components and…

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Q: Let a=i-2j-2k and b=6i +31 + 2k; Find? (a) a + b and ab (b)-2a+ (c) The magnitude of a and b (d)āx b…

A: Given:-  a→= i^-2j^-2k^b→= 6i^+3j^+2k^ Find:-  a) a→+b→  and a→-b→ b) -2a→+b→3 c) The magnitude of…

Q: Given the volume of a sphere is 3080cm3, find the radius of the sphere from the given equation: V=…

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